% % This file was created by the Typo3 extension % sevenpack version 0.7.10 % % --- Timezone: UTC % Creation date: 2020-08-08 % Creation time: 06-27-45 % --- Number of references % 810 % @Article { MR4011543, title = {Stochastic subspace correction methods and fault tolerance}, journal = {Math. Comp.}, year = {2020}, volume = {89}, number = {321}, pages = {279--312}, url = {https://doi.org/10.1090/mcom/3459}, DOI = {10.1090/mcom/3459}, author = {Griebel, Michael and Oswald, Peter} } @Article { MR4017164, title = {The smallest positive eigenvalue of fibered hyperbolic 3-manifolds}, journal = {Proc. Lond. Math. Soc. (3)}, year = {2020}, volume = {120}, number = {5}, pages = {704--741}, url = {https://doi.org/10.1112/plms.12283}, DOI = {10.1112/plms.12283}, author = {Baik, Hyungryul and Gekhtman, Ilya and Hamenst{\~A}¤dt, Ursula} } @Article { MR3942864, title = {A geometrical method for low-dimensional representations of simulations}, journal = {SIAM/ASA J. Uncertain. Quantif.}, year = {2019}, volume = {7}, number = {2}, pages = {472--496}, url = {https://doi.org/10.1137/17M1154205}, DOI = {10.1137/17M1154205}, author = {Iza-Teran, Rodrigo and Garcke, Jochen} } @Article { MR3957994, title = {A priori estimates for rough PDEs with application to rough conservation laws}, journal = {J. Funct. Anal.}, year = {2019}, volume = {276}, number = {12}, pages = {3577--3645}, url = {https://doi.org/10.1016/j.jfa.2019.03.008}, DOI = {10.1016/j.jfa.2019.03.008}, author = {Deya, Aur{\~A}©lien and Gubinelli, Massimiliano and Hofmanov{\~A}¡, Martina and Tindel, Samy} } @Article { MR3960918, title = {A representer theorem for deep kernel learning}, journal = {J. Mach. Learn. Res.}, year = {2019}, volume = {20}, pages = {Paper No. 64, 32}, author = {Bohn, Bastian and Rieger, Christian and Griebel, Michael} } @Article { MR3943902, title = {Bootstrapping variables in algebraic circuits}, journal = {Proc. Natl. Acad. Sci. USA}, year = {2019}, volume = {116}, number = {17}, pages = {8107--8118}, url = {https://doi.org/10.1073/pnas.1901272116}, DOI = {10.1073/pnas.1901272116}, author = {Agrawal, Manindra and Ghosh, Sumanta and Saxena, Nitin} } @Article { MR3980913, title = {Couplings and quantitative contraction rates for Langevin dynamics}, journal = {Ann. Probab.}, year = {2019}, volume = {47}, number = {4}, pages = {1982--2010}, url = {https://doi.org/10.1214/18-AOP1299}, DOI = {10.1214/18-AOP1299}, author = {Eberle, Andreas and Guillin, Arnaud and Zimmer, Raphael} } @Article { MR3987130, title = {Dimensional interpolation and the Selberg integral}, journal = {J. Geom. Phys.}, year = {2019}, volume = {145}, pages = {103455, 7}, url = {https://doi.org/10.1016/j.geomphys.2019.06.006}, DOI = {10.1016/j.geomphys.2019.06.006}, author = {Golyshev, V. and van Straten, D. and Zagier, D.} } @Article { MR3951704, title = {Global solutions to elliptic and parabolic {\^I}¦\verb=^=4 models in Euclidean space}, journal = {Comm. Math. Phys.}, year = {2019}, volume = {368}, number = {3}, pages = {1201--1266}, url = {https://doi.org/10.1007/s00220-019-03398-4}, DOI = {10.1007/s00220-019-03398-4}, author = {Gubinelli, Massimiliano and Hofmanov{\~A}¡, Martina} } @Article { MR3963874, title = {Jensen polynomials for the Riemann zeta function and other sequences}, journal = {Proc. Natl. Acad. Sci. USA}, year = {2019}, volume = {116}, number = {23}, pages = {11103--11110}, url = {https://doi.org/10.1073/pnas.1902572116}, DOI = {10.1073/pnas.1902572116}, author = {Griffin, Michael and Ono, Ken and Rolen, Larry and Zagier, Don} } @Article { MR4010933, title = {Limit law of a second class particle in TASEP with non-random initial condition}, journal = {Ann. Inst. Henri Poincar{\~A}© Probab. Stat.}, year = {2019}, volume = {55}, number = {3}, pages = {1203--1225}, url = {https://doi.org/10.1214/18-aihp916}, DOI = {10.1214/18-aihp916}, author = {Ferrari, P. L. and Ghosal, P. and Nejjar, P.} } @Article { MR4001477, title = {Numerical stochastic homogenization by quasilocal effective diffusion tensors}, journal = {Commun. Math. Sci.}, year = {2019}, volume = {17}, number = {3}, pages = {637--651}, url = {https://doi.org/10.4310/CMS.2019.v17.n3.a3}, DOI = {10.4310/CMS.2019.v17.n3.a3}, author = {Gallistl, Dietmar and Peterseim, Daniel} } @Article { MR3985562, title = {One-dimensional reflected rough differential equations}, journal = {Stochastic Process. Appl.}, year = {2019}, volume = {129}, number = {9}, pages = {3261--3281}, url = {https://doi.org/10.1016/j.spa.2018.09.007}, DOI = {10.1016/j.spa.2018.09.007}, author = {Deya, Aur{\~A}©lien and Gubinelli, Massimiliano and Hofmanov{\~A}¡, Martina and Tindel, Samy} } @Article { MR3916943, title = {Paracontrolled quasilinear SPDEs}, journal = {Ann. Probab.}, year = {2019}, volume = {47}, number = {2}, pages = {1096--1135}, url = {https://doi.org/10.1214/18-AOP1280}, DOI = {10.1214/18-AOP1280}, author = {Furlan, Marco and Gubinelli, Massimiliano} } @Article { MR3989265, title = {Partitioning subgraphs of profinite ordered graphs}, journal = {Combinatorica}, year = {2019}, volume = {39}, number = {3}, pages = {659--678}, url = {https://doi.org/10.1007/s00493-018-3479-9}, DOI = {10.1007/s00493-018-3479-9}, author = {Huber, Stefanie and Geschke, Stefan and Kojman, Menachem} } @Article { MR3939573, title = {Quantitative Harris-type theorems for diffusions and McKean-Vlasov processes}, journal = {Trans. Amer. Math. Soc.}, year = {2019}, volume = {371}, number = {10}, pages = {7135--7173}, url = {https://doi.org/10.1090/tran/7576}, DOI = {10.1090/tran/7576}, author = {Eberle, Andreas and Guillin, Arnaud and Zimmer, Raphael} } @Article { MR4015764, title = {Simulation of micron-scale drop impact}, journal = {Comput. Math. Appl.}, year = {2019}, volume = {78}, number = {9}, pages = {3027--3043}, url = {https://doi.org/10.1016/j.camwa.2019.03.045}, DOI = {10.1016/j.camwa.2019.03.045}, author = {Griebel, M. and Klitz, M.} } @Article { MR4019036, title = {Singular value decomposition versus sparse grids: refined complexity estimates}, journal = {IMA J. Numer. Anal.}, year = {2019}, volume = {39}, number = {4}, pages = {1652--1671}, url = {https://doi.org/10.1093/imanum/dry039}, DOI = {10.1093/imanum/dry039}, author = {Griebel, Michael and Harbrecht, Helmut} } @Article { MR3957780, title = {Voting on multiple issues: what to put on the ballot?}, journal = {Theor. Econ.}, year = {2019}, volume = {14}, number = {2}, pages = {555--596}, author = {Gershkov, Alex and Moldovanu, Benny and Shi, Xianwen} } @Article { MR3936152, title = {Weak universality for a class of 3d stochastic reaction-diffusion models}, journal = {Probab. Theory Related Fields}, year = {2019}, volume = {173}, number = {3-4}, pages = {1099--1164}, url = {https://doi.org/10.1007/s00440-018-0849-6}, DOI = {10.1007/s00440-018-0849-6}, author = {Furlan, M. and Gubinelli, M.} } @Inproceedings { MR3909651, title = {Analysis of Ward's method}, year = {2019}, pages = {2939--2957}, url = {https://doi.org/10.1137/1.9781611975482.182}, publisher = {SIAM, Philadelphia, PA}, booktitle = {Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms}, DOI = {10.1137/1.9781611975482.182}, author = {Gro{\~A}? wendt, Anna and R{\~A}¶glin, Heiko and Schmidt, Melanie} } @Article { MR3795445, title = {A branched transport limit of the Ginzburg-Landau functional}, journal = {J. {\~A}?c. polytech. Math.}, year = {2018}, volume = {5}, pages = {317--375}, url = {https://doi.org/10.5802/jep.72}, DOI = {10.5802/jep.72}, author = {Conti, Sergio and Goldman, Michael and Otto, Felix and Serfaty, Sylvia} } @Article { MR3875293, title = {A posteriori modeling error estimates in the optimization of two-scale elastic composite materials}, journal = {ESAIM Math. Model. Numer. Anal.}, year = {2018}, volume = {52}, number = {4}, pages = {1457--1476}, url = {https://doi.org/10.1051/m2an/2017004}, DOI = {10.1051/m2an/2017004}, author = {Conti, Sergio and Geihe, Benedict and Lenz, Martin and Rumpf, Martin} } @Article { MR3875293, title = {A posteriori modeling error estimates in the optimization of two-scale elastic composite materials}, journal = {ESAIM Math. Model. Numer. Anal.}, year = {2018}, volume = {52}, number = {4}, pages = {1457--1476}, url = {https://doi.org/10.1051/m2an/2017004}, DOI = {10.1051/m2an/2017004}, author = {Conti, Sergio and Geihe, Benedict and Lenz, Martin and Rumpf, Martin} } @Article { MR3752381, title = {Ad honorem Claire Voisin}, journal = {Notices Amer. Math. Soc.}, year = {2018}, volume = {65}, number = {4}, pages = {390--399}, author = {Beauville, Arnaud and Amerik, Ekaterina and Debarre, Olivier and Griffiths, Phillip and Huybrechts, Daniel and Charles, Fran{\~A}§ois} } @Article { MR3796359, title = {An adaptive multiscale approach for electronic structure methods}, journal = {Multiscale Model. Simul.}, year = {2018}, volume = {16}, number = {2}, pages = {752--776}, url = {https://doi.org/10.1137/16M1088119}, DOI = {10.1137/16M1088119}, author = {Chinnamsetty, Sambasiva Rao and Griebel, Michael and Hamaekers, Jan} } @Article { MR3774348, title = {arepsilon-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs}, journal = {J. Complexity}, year = {2018}, volume = {46}, pages = {66--89}, url = {https://doi.org/10.1016/j.jco.2017.12.001}, DOI = {10.1016/j.jco.2017.12.001}, author = {D{\~u}ng, Dinh and Griebel, Michael and Huy, Vu Nhat and Rieger, Christian} } @Article { MR3865711, title = {Better s-t-tours by Gao trees}, journal = {Math. Program.}, year = {2018}, volume = {172}, number = {1-2, Ser. B}, pages = {191--207}, url = {https://doi.org/10.1007/s10107-017-1202-z}, DOI = {10.1007/s10107-017-1202-z}, author = {Gottschalk, Corinna and Vygen, Jens} } @Article { MR3783557, title = {Effective action from M-theory on twisted connected sum G\(_{2}\)-manifolds}, journal = {Comm. Math. Phys.}, year = {2018}, volume = {359}, number = {2}, pages = {535--601}, url = {https://doi.org/10.1007/s00220-017-3045-0}, DOI = {10.1007/s00220-017-3045-0}, author = {Guio, Thaisa C. da C. and Jockers, Hans and Klemm, Albrecht and Yeh, Hung-Yu} } @Article { MR3758149, title = {Energy solutions of KPZ are unique}, journal = {J. Amer. Math. Soc.}, year = {2018}, volume = {31}, number = {2}, pages = {427--471}, url = {https://doi.org/10.1090/jams/889}, DOI = {10.1090/jams/889}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Article { MR3873535, title = {Exponential torsion growth for random 3-manifolds}, journal = {Int. Math. Res. Not. IMRN}, year = {2018}, number = {21}, pages = {6497--6534}, url = {https://doi.org/10.1093/imrn/rnx076}, DOI = {10.1093/imrn/rnx076}, author = {Baik, Hyungryul and Bauer, David and Gekhtman, Ilya and Hamenst{\~A}¤dt, Ursula and Hensel, Sebastian and Kastenholz, Thorben and Petri, Bram and Valenzuela, Daniel} } @Article { MR3839870, title = {Functional principal component analysis for derivatives of multivariate curves}, journal = {Statist. Sinica}, year = {2018}, volume = {28}, number = {4, part 2}, pages = {2469--2496}, author = {Grith, Maria and Wagner, Heiko and H{\~A}¤rdle, Wolfgang K. and Kneip, Alois} } @Article { MR3915491, title = {Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes}, journal = {Comm. Partial Differential Equations}, year = {2018}, volume = {43}, number = {9}, pages = {1377--1412}, url = {https://doi.org/10.1080/03605302.2018.1531425}, DOI = {10.1080/03605302.2018.1531425}, author = {Giunti, Arianna and H{\~A}¶fer, Richard and Vel{\~A}¡zquez, Juan J. L.} } @Article { MR3778904, title = {Minimal obstructions for normal spanning trees}, journal = {Fund. Math.}, year = {2018}, volume = {241}, number = {3}, pages = {245--263}, url = {https://doi.org/10.4064/fm337-10-2017}, DOI = {10.4064/fm337-10-2017}, author = {Bowler, Nathan and Geschke, Stefan and Pitz, Max} } @Article { MR3717700, title = {Multiscale simulation of polymeric fluids using the sparse grid combination technique}, journal = {Appl. Math. Comput.}, year = {2018}, volume = {319}, pages = {425--443}, url = {https://doi.org/10.1016/j.amc.2017.04.025}, DOI = {10.1016/j.amc.2017.04.025}, author = {R{\~A}¼ttgers, A. and Griebel, M.} } @Article { MR3846285, title = {Numerical homogenization of heterogeneous fractional Laplacians}, journal = {Multiscale Model. Simul.}, year = {2018}, volume = {16}, number = {3}, pages = {1305--1332}, url = {https://doi.org/10.1137/17M1147305}, DOI = {10.1137/17M1147305}, author = {Brown, Donald L. and Gedicke, Joscha and Peterseim, Daniel} } @Article { MR3775030, title = {Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics}, journal = {Comput. \& Fluids}, year = {2018}, volume = {166}, pages = {275--285}, url = {https://doi.org/10.1016/j.compfluid.2018.02.018}, DOI = {10.1016/j.compfluid.2018.02.018}, author = {Burkow, M. and Griebel, M.} } @Article { MR3787782, title = {On the decay rate of the singular values of bivariate functions}, journal = {SIAM J. Numer. Anal.}, year = {2018}, volume = {56}, number = {2}, pages = {974--993}, url = {https://doi.org/10.1137/17M1117550}, DOI = {10.1137/17M1117550}, author = {Griebel, Michael and Li, Guanglian} } @Article { MR3732208, title = {Patching and the p-adic Langlands program for \{GL\(_{2}\)(\textbackslashBbb Q_p)\}}, journal = {Compos. Math.}, year = {2018}, volume = {154}, number = {3}, pages = {503--548}, url = {https://doi.org/10.1112/S0010437X17007606}, DOI = {10.1112/S0010437X17007606}, author = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Geraghty, David and Pask\&\#363nas, Vytautas and Shin, Sug Woo} } @Article { MR3801499, title = {Quivers with relations for symmetrizable Cartan matrices II: change of symmetrizers}, journal = {Int. Math. Res. Not. IMRN}, year = {2018}, number = {9}, pages = {2866--2898}, url = {https://doi.org/10.1093/imrn/rnw299}, DOI = {10.1093/imrn/rnw299}, author = {Gei{\~A}?, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR3848021, title = {Quivers with relations for symmetrizable Cartan matrices IV: crystal graphs and semicanonical functions}, journal = {Selecta Math. (N.S.)}, year = {2018}, volume = {24}, number = {4}, pages = {3283--3348}, url = {https://doi.org/10.1007/s00029-018-0412-4}, DOI = {10.1007/s00029-018-0412-4}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR3830892, title = {Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formulas}, journal = {Proc. Lond. Math. Soc. (3)}, year = {2018}, volume = {117}, number = {1}, pages = {125--148}, url = {https://doi.org/10.1112/plms.12146}, DOI = {10.1112/plms.12146}, author = {Gei{\~A}?, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR3777786, title = {Regularized kernel-based reconstruction in generalized Besov spaces}, journal = {Found. Comput. Math.}, year = {2018}, volume = {18}, number = {2}, pages = {459--508}, url = {https://doi.org/10.1007/s10208-017-9346-z}, DOI = {10.1007/s10208-017-9346-z}, author = {Griebel, Michael and Rieger, Christian and Zwicknagl, Barbara} } @Article { MR3841850, title = {Renormalization of the two-dimensional stochastic nonlinear wave equations}, journal = {Trans. Amer. Math. Soc.}, year = {2018}, volume = {370}, number = {10}, pages = {7335--7359}, url = {https://doi.org/10.1090/tran/7452}, DOI = {10.1090/tran/7452}, author = {Gubinelli, Massimiliano and Koch, Herbert and Oh, Tadahiro} } @Article { MR3841850, title = {Renormalization of the two-dimensional stochastic nonlinear wave equations}, journal = {Trans. Amer. Math. Soc.}, year = {2018}, volume = {370}, number = {10}, pages = {7335--7359}, url = {https://doi.org/10.1090/tran/7452}, DOI = {10.1090/tran/7452}, author = {Gubinelli, Massimiliano and Koch, Herbert and Oh, Tadahiro} } @Article { MR3841536, title = {Square functions for bi-Lipschitz maps and directional operators}, journal = {J. Funct. Anal.}, year = {2018}, volume = {275}, number = {8}, pages = {2015--2058}, url = {https://doi.org/10.1016/j.jfa.2018.07.005}, DOI = {10.1016/j.jfa.2018.07.005}, author = {Di Plinio, Francesco and Guo, Shaoming and Thiele, Christoph and Zorin-Kranich, Pavel} } @Article { MR3869450, title = {Stochastic subspace correction in Hilbert space}, journal = {Constr. Approx.}, year = {2018}, volume = {48}, number = {3}, pages = {501--521}, url = {https://doi.org/10.1007/s00365-018-9447-1}, DOI = {10.1007/s00365-018-9447-1}, author = {Griebel, Michael and Oswald, Peter} } @Article { MR3914714, title = {The nonexistence of universal metric flows}, journal = {Comment. Math. Univ. Carolin.}, year = {2018}, volume = {59}, number = {4}, pages = {487--493}, author = {Geschke, Stefan} } @Article { MR3796136, title = {Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs}, journal = {J. High Energy Phys.}, year = {2018}, number = {3}, pages = {156, front matter+57}, url = {https://doi.org/10.1007/jhep03(2018)156}, DOI = {10.1007/jhep03(2018)156}, author = {Del Zotto, Michele and Gu, Jie and Huang, Min-xin and Kashani-Poor, Amir-Kian and Klemm, Albrecht and Lockhart, Guglielmo} } @Book { MR3793122, title = {Building bridges between algebra and topology}, year = {2018}, pages = {xiii+224}, note = {Lecture notes from courses held at CRM, Bellaterra, February 9--13, 2015 and April 13--17, 2015, Edited by Dolors Herbera, Wolfgang Pitsch and Santiago Zarzuela}, url = {https://doi.org/10.1007/978-3-319-70157-8}, publisher = {Birkh{\~A}¤user/Springer, Cham}, series = {Advanced Courses in Mathematics. CRM Barcelona}, ISBN = {978-3-319-70156-1; 978-3-319-70157-8}, DOI = {10.1007/978-3-319-70157-8}, author = {Chach{\~A}³lski, Wojciech and Dyckerhoff, Tobias and Greenlees, John and Stevenson, Greg} } @Incollection { MR3824461, title = {Algebraic dependencies and PSPACE algorithms in approximative complexity}, year = {2018}, volume = {102}, pages = {Art. No. 10, 21}, publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern}, series = {LIPIcs. Leibniz Int. Proc. Inform.}, booktitle = {33rd Computational Complexity Conference}, author = {Guo, Zeyu and Saxena, Nitin and Sinhababu, Amit} } @Incollection { MR3828162, title = {An introduction to singular SPDEs}, year = {2018}, volume = {229}, pages = {69--99}, publisher = {Springer, Cham}, series = {Springer Proc. Math. Stat.}, booktitle = {Stochastic partial differential equations and related fields}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Incollection { MR3823874, title = {Efficient higher order time discretization schemes for Hamilton-Jacobi-Bellman equations based on diagonally implicit symplectic Runge-Kutta methods}, year = {2018}, volume = {21}, pages = {97--128}, publisher = {De Gruyter, Berlin}, series = {Radon Ser. Comput. Appl. Math.}, booktitle = {Hamilton-Jacobi-Bellman equations}, author = {Garcke, Jochen and Kalmykov, Ilja} } @Incollection { MR3967391, title = {Infinite dimensional rough dynamics}, year = {2018}, volume = {13}, pages = {401--413}, publisher = {Springer, Cham}, series = {Abel Symp.}, booktitle = {Computation and combinatorics in dynamics, stochastics and control}, author = {Gubinelli, Massimiliano} } @Incollection { MR3828193, title = {Probabilistic approach to the stochastic Burgers equation}, year = {2018}, volume = {229}, pages = {515--527}, publisher = {Springer, Cham}, series = {Springer Proc. Math. Stat.}, booktitle = {Stochastic partial differential equations and related fields}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Incollection { MR3829985, title = {Towards blackbox identity testing of log-variate circuits}, year = {2018}, volume = {107}, pages = {Art. No. 54, 16}, publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern}, series = {LIPIcs. Leibniz Int. Proc. Inform.}, booktitle = {45th International Colloquium on Automata, Languages, and Programming}, author = {Forbes, Michael A. and Ghosh, Sumanta and Saxena, Nitin} } @Incollection { MR3887786, title = {Variational modeling of dislocations in crystals in the line-tension limit}, year = {2018}, pages = {583--598}, publisher = {Eur. Math. Soc., Z{\~A}¼rich}, booktitle = {European Congress of Mathematics}, author = {Ariza, Pilar and Conti, Sergio and Garroni, Adriana and Ortiz, Michael} } @Incollection { MR3887786, title = {Variational modeling of dislocations in crystals in the line-tension limit}, year = {2018}, pages = {583--598}, publisher = {Eur. Math. Soc., Z{\~A}¼rich}, booktitle = {European Congress of Mathematics}, author = {Ariza, Pilar and Conti, Sergio and Garroni, Adriana and Ortiz, Michael} } @Inproceedings { MR3826326, title = {Bootstrapping variables in algebraic circuits}, year = {2018}, pages = {1166--1179}, publisher = {ACM, New York}, booktitle = {STOC'18---Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing}, author = {Agrawal, Manindra and Ghosh, Sumanta and Saxena, Nitin} } @Article { Dung.Griebela.Huy.ea:2017, title = {arepsilon-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs}, year = {2017}, note = {submitted to Journal of Complexity, also available as INS Preprint No. 1703.}, author = {Dung, Dinh and Griebel, Michael and Huy, Vu Nhat and Rieger, Christian} } @Article { MR3719005, title = {Computation of quasi-local effective diffusion tensors and connections to the mathematical theory of homogenization}, journal = {Multiscale Model. Simul.}, year = {2017}, volume = {15}, number = {4}, pages = {1530--1552}, url = {https://doi.org/10.1137/16M1088533}, DOI = {10.1137/16M1088533}, author = {Gallistl, D. and Peterseim, D.} } @Article { EberleGuillinZimmer, title = {Couplings and quantitative contraction rates for Langevin dynamics}, journal = {ArXiv e-prints}, year = {2017}, author = {Eberle, A. and Guillin, A. and Zimmer, R.} } @Article { MR3607498, title = {Density of polyhedral partitions}, journal = {Calc. Var. Partial Differential Equations}, year = {2017}, volume = {56}, number = {2}, pages = {Art. 28, 10}, url = {https://doi.org/10.1007/s00526-017-1108-x}, DOI = {10.1007/s00526-017-1108-x}, author = {Braides, Andrea and Conti, Sergio and Garroni, Adriana} } @Article { MR3723350, title = {Deterministic identity testing for sum of read-once oblivious arithmetic branching programs}, journal = {Comput. Complexity}, year = {2017}, volume = {26}, number = {4}, pages = {835--880}, url = {https://doi.org/10.1007/s00037-016-0141-z}, DOI = {10.1007/s00037-016-0141-z}, author = {Gurjar, Rohit and Korwar, Arpita and Saxena, Nitin and Thierauf, Thomas} } @Article { gubinelli2017energy, title = {Energy solutions of KPZ are unique}, journal = {Journal of the American Mathematical Society}, year = {2017}, DOI = {10.1090/jams/889}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Article { MR3679319, title = {Error estimates for multivariate regression on discretized function spaces}, journal = {SIAM J. Numer. Anal.}, year = {2017}, volume = {55}, number = {4}, pages = {1843--1866}, url = {https://doi.org/10.1137/15M1013973}, DOI = {10.1137/15M1013973}, author = {Bohn, Bastian and Griebel, Michael} } @Article { MR3607232, title = {Hilbert transforms along Lipschitz direction fields: a lacunary model}, journal = {Mathematika}, year = {2017}, volume = {63}, number = {2}, pages = {351--363}, url = {https://doi.org/10.1112/S0025579316000280}, DOI = {10.1112/S0025579316000280}, author = {Guo, Shaoming and Thiele, Christoph} } @Article { MR3615159, title = {Homogenization of vector-valued partition problems and dislocation cell structures in the plane}, journal = {Boll. Unione Mat. Ital.}, year = {2017}, volume = {10}, number = {1}, pages = {3--17}, url = {https://doi.org/10.1007/s40574-016-0083-z}, DOI = {10.1007/s40574-016-0083-z}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR3615159, title = {Homogenization of vector-valued partition problems and dislocation cell structures in the plane}, journal = {Boll. Unione Mat. Ital.}, year = {2017}, volume = {10}, number = {1}, pages = {3--17}, url = {https://doi.org/10.1007/s40574-016-0083-z}, DOI = {10.1007/s40574-016-0083-z}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR3656255, title = {Identity testing for constant-width, and any-order, read-once oblivious arithmetic branching programs}, journal = {Theory Comput.}, year = {2017}, volume = {13}, pages = {Paper No. 2, 21}, url = {https://doi.org/10.4086/toc.2017.v013a002}, DOI = {10.4086/toc.2017.v013a002}, author = {Gurjar, Rohit and Korwar, Arpita and Saxena, Nitin} } @Article { MR3671602, title = {Improved analysis of complete-linkage clustering}, journal = {Algorithmica}, year = {2017}, volume = {78}, number = {4}, pages = {1131--1150}, url = {https://doi.org/10.1007/s00453-017-0284-6}, DOI = {10.1007/s00453-017-0284-6}, author = {Gro{\~A}? wendt, Anna and R{\~A}¶glin, Heiko} } @Article { MR3652290, title = {It{\~A}´ formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties}, journal = {Random Oper. Stoch. Equ.}, year = {2017}, volume = {25}, number = {2}, pages = {79--105}, url = {https://doi.org/10.1515/rose-2017-0008}, DOI = {10.1515/rose-2017-0008}, author = {Albeverio, Sergio and Gawarecki, Leszek and Mandrekar, Vidyadhar and R{\~A}¼diger, Barbara and Sarkar, Barun} } @Article { MR3592748, title = {KPZ reloaded}, journal = {Comm. Math. Phys.}, year = {2017}, volume = {349}, number = {1}, pages = {165--269}, url = {https://doi.org/10.1007/s00220-016-2788-3}, DOI = {10.1007/s00220-016-2788-3}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Article { FGN17, title = {Limit law of a second class particle in TASEP with non-random initial condition}, journal = {preprint, arXiv:1710.02323}, year = {2017}, author = {Ferrari, P.L. and Ghosal, P. and Nejjar, P.} } @Article { MR3614114, title = {Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality}, journal = {Bull. Sci. Math.}, year = {2017}, volume = {141}, number = {2}, pages = {1--19}, url = {https://doi.org/10.1016/j.bulsci.2016.04.001}, DOI = {10.1016/j.bulsci.2016.04.001}, author = {Albeverio, Sergio and Garko, Iryna and Ibragim, Muslem and Torbin, Grygoriy} } @Article { MR3626539, title = {Note on {\^a}??The smoothing effect of integration in \{\textbackslashBbbR\verb=^=d\} and the ANOVA decomposition{\^a}?? [ MR2983028]}, journal = {Math. Comp.}, year = {2017}, volume = {86}, number = {306}, pages = {1847--1854}, url = {https://doi.org/10.1090/mcom/3172}, DOI = {10.1090/mcom/3172}, author = {Griebel, Michael and Kuo, Frances Y. and Sloan, Ian H.} } @Article { Griebel.Li:2017, title = {On the decay rate of the singular values of bivariate functions}, year = {2017}, note = {Submitted to SIAM J. Numer. Analysis. Also available as INS preprint No. 1702.}, author = {Griebel, Michael and Li, Guanglian} } @Article { MR3696083, title = {On the stability of the Rayleigh-Ritz method for eigenvalues}, journal = {Numer. Math.}, year = {2017}, volume = {137}, number = {2}, pages = {339--351}, url = {https://doi.org/10.1007/s00211-017-0876-8}, DOI = {10.1007/s00211-017-0876-8}, author = {Gallistl, D. and Huber, P. and Peterseim, D.} } @Article { MR3744227, title = {Optimal voting rules}, journal = {Rev. Econ. Stud.}, year = {2017}, volume = {84}, number = {2}, pages = {688--717}, author = {Gershkov, Alex and Moldovanu, Benny and Shi, Xianwen} } @Article { MR3708001, title = {Polynomial Carleson operators along monomial curves in the plane}, journal = {J. Geom. Anal.}, year = {2017}, volume = {27}, number = {4}, pages = {2977--3012}, url = {https://doi.org/10.1007/s12220-017-9790-7}, DOI = {10.1007/s12220-017-9790-7}, author = {Guo, Shaoming and Pierce, Lillian B. and Roos, Joris and Yung, Po-Lam} } @Article { MR3660306, title = {Quivers with relations for symmetrizable Cartan matrices I: Foundations}, journal = {Invent. Math.}, year = {2017}, volume = {209}, number = {1}, pages = {61--158}, url = {https://doi.org/10.1007/s00222-016-0705-1}, DOI = {10.1007/s00222-016-0705-1}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { 2017arXiv170207570G, title = {Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions}, journal = {eprint, arXiv:1702.07570}, year = {2017}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR3662801, title = {Refined BPS invariants of 6d SCFTs from anomalies and modularity}, journal = {J. High Energy Phys.}, year = {2017}, number = {5}, pages = {130, front matter+61}, url = {https://doi.org/10.1007/JHEP05(2017)130}, DOI = {10.1007/JHEP05(2017)130}, author = {Gu, Jie and Huang, Min-xin and Kashani-Poor, Amir-Kian and Klemm, Albrecht} } @Article { MR3600372, title = {Reproducing kernel Hilbert spaces for parametric partial differential equations}, journal = {SIAM/ASA J. Uncertain. Quantif.}, year = {2017}, volume = {5}, number = {1}, pages = {111--137}, url = {https://doi.org/10.1137/15M1026870}, DOI = {10.1137/15M1026870}, author = {Griebel, Michael and Rieger, Christian} } @Article { MR3656415, title = {Stable splittings of Hilbert spaces of functions of infinitely many variables}, journal = {J. Complexity}, year = {2017}, volume = {41}, pages = {126--151}, url = {https://doi.org/10.1016/j.jco.2017.01.003}, DOI = {10.1016/j.jco.2017.01.003}, author = {Griebel, Michael and Oswald, Peter} } @Article { MR3592131, title = {Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids}, journal = {J. Sci. Comput.}, year = {2017}, volume = {70}, number = {1}, pages = {1--28}, url = {https://doi.org/10.1007/s10915-016-0240-7}, DOI = {10.1007/s10915-016-0240-7}, author = {Garcke, Jochen and Kr{\~A}¶ner, Axel} } @Article { MR3626540, title = {The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth}, journal = {Math. Comp.}, year = {2017}, volume = {86}, number = {306}, pages = {1855--1876}, url = {https://doi.org/10.1090/mcom/3171}, DOI = {10.1090/mcom/3171}, author = {Griebel, Michael and Kuo, Frances Y. and Sloan, Ian H.} } @Article { MR3666235, title = {The generic possibility of full surplus extraction in models with large type spaces}, journal = {J. Econom. Theory}, year = {2017}, volume = {170}, pages = {385--416}, url = {https://doi.org/10.1016/j.jet.2017.05.009}, DOI = {10.1016/j.jet.2017.05.009}, author = {Gizatulina, Alia and Hellwig, Martin} } @Article { MR3663617, title = {The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions}, journal = {Comm. Math. Phys.}, year = {2017}, volume = {354}, number = {2}, pages = {549--589}, url = {https://doi.org/10.1007/s00220-017-2918-6}, DOI = {10.1007/s00220-017-2918-6}, author = {Diehl, Joscha and Gubinelli, Massimiliano and Perkowski, Nicolas} } @Article { MR3754140, title = {The scaling limit of a particle system with long-range interaction}, journal = {Markov Process. Related Fields}, year = {2017}, volume = {23}, number = {4}, pages = {515--552}, author = {Bovier, A. and Geldhauser, C.} } @Article { MR3746643, title = {Unbounded rough drivers}, journal = {Ann. Fac. Sci. Toulouse Math. (6)}, year = {2017}, volume = {26}, number = {4}, pages = {795--830}, url = {https://doi.org/10.5802/afst.1553}, DOI = {10.5802/afst.1553}, author = {Bailleul, Ismael and Gubinelli, Massimiliano} } @Inbook { Plum:Krechel:etal:2017, title = {Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI}, year = {2017}, pages = {121--134}, editor = {M. Griebel and A. Schueller and M. A. Schweitzer}, publisher = {Springer International Publishing}, chapter = {Parallel Algebraic Multigrid}, author = {Plum, Hans-Joachim and Krechel, Arnold and Gries, Sebastian and Metsch, Bram and Nick, Fabian and Alexander Schweitzer, Marc and St{\~A}¼ben, Klaus} } @Incollection { gubisch2017posteriori, title = {A-posteriori error estimation of discrete POD models for PDE-constrained optimal control}, year = {2017}, pages = {213--234}, publisher = {Springer}, booktitle = {Model Reduction of Parametrized Systems}, DOI = {10.1007/s00211-017-0906-6}, author = {Gubisch, Martin and Neitzel, Ira and Volkwein, Stefan} } @Incollection { MR3702350, title = {A-posteriori error estimation of discrete POD models for PDE-constrained optimal control}, year = {2017}, volume = {17}, pages = {213--234}, publisher = {Springer, Cham}, series = {MS\&A. Model. Simul. Appl.}, booktitle = {Model reduction of parametrized systems}, author = {Gubisch, Martin and Neitzel, Ira and Volkwein, Stefan} } @Incollection { MR3728546, title = {ModelCompare}, year = {2017}, pages = {199--205}, publisher = {Springer, Cham}, booktitle = {Scientific computing and algorithms in industrial simulations}, author = {Garcke, Jochen and Pathare, Mandar and Prabakaran, Nikhil} } @Incollection { MR3718330, title = {Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations}, year = {2017}, volume = {115}, pages = {85--115}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations VIII}, author = {Brown, Donald L. and Gallistl, Dietmar and Peterseim, Daniel} } @Incollection { MR3728544, title = {Parallel algebraic multigrid}, year = {2017}, pages = {121--151}, publisher = {Springer, Cham}, booktitle = {Scientific computing and algorithms in industrial simulations}, author = {Plum, Hans-Joachim and Krechel, Arnold and Gries, Sebastian and Metsch, Bram and Nick, Fabian and Schweitzer, Marc Alexander and St{\~A}¼ben, Klaus} } @Incollection { MR3790940, title = {The cubic Szeg\&\#337; flow at low regularity}, year = {2017}, pages = {Exp. No. XIV, 14}, publisher = {Ed. {\~A}?c. Polytech., Palaiseau}, booktitle = {S{\~A}©minaire Laurent Schwartz---{\~A}?quations aux d{\~A}©riv{\~A}©es partielles et applications. Ann{\~A}©e 2016--2017}, author = {G{\~A}©rard, Patrick and Koch, Herbert} } @Incollection { MR3699493, title = {Upwind schemes for scalar advection-dominated problems in the discrete exterior calculus}, year = {2017}, pages = {145--175}, publisher = {Birkh{\~A}¤user/Springer, Cham}, series = {Adv. Math. Fluid Mech.}, booktitle = {Transport processes at fluidic interfaces}, author = {Griebel, Michael and Rieger, Christian and Schier, Alexander} } @Article { MR3485344, title = {A Fourier analytic approach to pathwise stochastic integration}, journal = {Electron. J. Probab.}, year = {2016}, volume = {21}, pages = {Paper No. 2, 37}, url = {https://doi.org/10.1214/16-EJP3868}, DOI = {10.1214/16-EJP3868}, author = {Gubinelli, Massimiliano and Imkeller, Peter and Perkowski, Nicolas} } @Article { MR3434925, title = {A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle}, journal = {Comput. \& Fluids}, year = {2016}, volume = {125}, pages = {1--10}, url = {https://doi.org/10.1016/j.compfluid.2015.10.014}, DOI = {10.1016/j.compfluid.2015.10.014}, author = {Burkow, M. and Griebel, M.} } @Article { RN19, title = {A numerical method for the time coarsening of transport processes at the atomistic scale}, journal = {Modelling and Simulation in Materials Science and Engineering}, year = {2016}, volume = {24}, number = {4}, url = {://WOS:000375596400011}, type = {Journal Article}, ISSN = {0965-0393}, DOI = {Artn 04501110.1088/0965-0393/24/4/045011}, author = {Gonzalez-Ferreiro, B. and Romero, I. and Ortiz, M.} } @Article { MR3591949, title = {A posteriori error estimates for sequential laminates in shape optimization}, journal = {Discrete Contin. Dyn. Syst. Ser. S}, year = {2016}, volume = {9}, number = {5}, pages = {1377--1392}, url = {https://doi.org/10.3934/dcdss.2016055}, DOI = {10.3934/dcdss.2016055}, author = {Geihe, Benedict and Rumpf, Martin} } @Article { MR3454420, title = {A sparse grid based method for generative dimensionality reduction of high-dimensional data}, journal = {J. Comput. Phys.}, year = {2016}, volume = {309}, pages = {1--17}, url = {https://doi.org/10.1016/j.jcp.2015.12.033}, DOI = {10.1016/j.jcp.2015.12.033}, author = {Bohn, Bastian and Garcke, Jochen and Griebel, Michael} } @Article { MR3454420, title = {A sparse grid based method for generative dimensionality reduction of high-dimensional data}, journal = {J. Comput. Phys.}, year = {2016}, volume = {309}, pages = {1--17}, url = {https://doi.org/10.1016/j.jcp.2015.12.033}, DOI = {10.1016/j.jcp.2015.12.033}, author = {Bohn, Bastian and Garcke, Jochen and Griebel, Michael} } @Article { Griebel.Hamaekers.Chinnamsetty:2016, title = {An Adaptive Multiscale Approach for Electronic Structure Methods}, year = {2016}, note = {Submitted to SIAM Journal of Multiscale Modelling and Simulation. Also available as INS Preprint No. 1601, Institute for Numerical Simulation, University of Bonn}, institution = {Institute for Numerical Simulation, University of Bonn}, author = {Griebel, M. and Hamaekers, J. and Chinnamsetty, R.} } @Article { GHK16, title = {Approximation Complexity of Max-Cut on Power Law Graphs}, journal = {CoRR}, year = {2016}, volume = {abs/1602.08369}, author = {Gast, Mikael and Hauptmann, Mathias and Karpinski, Marek} } @Article { MR3505229, title = {Averaging along irregular curves and regularisation of ODEs}, journal = {Stochastic Process. Appl.}, year = {2016}, volume = {126}, number = {8}, pages = {2323--2366}, url = {https://doi.org/10.1016/j.spa.2016.02.002}, DOI = {10.1016/j.spa.2016.02.002}, author = {Catellier, R. and Gubinelli, M.} } @Article { MR3545984, title = {Complexity of hierarchical refinement for a class of admissible mesh configurations}, journal = {Comput. Aided Geom. Design}, year = {2016}, volume = {47}, pages = {83--92}, url = {https://doi.org/10.1016/j.cagd.2016.04.003}, DOI = {10.1016/j.cagd.2016.04.003}, author = {Buffa, Annalisa and Giannelli, Carlotta and Morgenstern, Philipp and Peterseim, Daniel} } @Article { MR3520463, title = {Dislocation microstructures and strain-gradient plasticity with one active slip plane}, journal = {J. Mech. Phys. Solids}, year = {2016}, volume = {93}, pages = {240--251}, url = {https://doi.org/10.1016/j.jmps.2015.12.008}, DOI = {10.1016/j.jmps.2015.12.008}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR3520463, title = {Dislocation microstructures and strain-gradient plasticity with one active slip plane}, journal = {J. Mech. Phys. Solids}, year = {2016}, volume = {93}, pages = {240--251}, url = {https://doi.org/10.1016/j.jmps.2015.12.008}, DOI = {10.1016/j.jmps.2015.12.008}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR3450723, title = {Hyperbolic cross approximation in infinite dimensions}, journal = {J. Complexity}, year = {2016}, volume = {33}, pages = {55--88}, url = {https://doi.org/10.1016/j.jco.2015.09.006}, DOI = {10.1016/j.jco.2015.09.006}, author = {D{\~u}ng, Dinh and Griebel, Michael} } @Article { Ruttgers.Griebel:2016, title = {Multiscale simulation of polymeric fluids using the sparse grid combination technique}, year = {2016}, note = {Submitted to Applied Mathematics and Computation, also available as INS Preprint No. 1623}, author = {R{\~A}¼ttgers, A. and Griebel, M.} } @Article { Burkow.Griebel:2016, title = {Numerical Simulation of the Temporal Evolution of a Three Dimensional Barchanoid Dune and the Corresponding Sediment Dynamics}, year = {2016}, note = {Submitted to Computers and Mathematics with Applications: Special Issue ESCO 2016. Also available as INS Preprint No. 1622}, author = {Burkow, M. and Griebel, M.} } @Article { MR3503714, title = {On a trilinear singular integral form with determinantal kernel}, journal = {Proc. Amer. Math. Soc.}, year = {2016}, volume = {144}, number = {8}, pages = {3465--3477}, url = {https://doi.org/10.1090/proc/13007}, DOI = {10.1090/proc/13007}, author = {Gressman, Philip and He, Danqing and Kovac, Vjekoslav and Street, Brian and Thiele, Christoph and Yung, Po-Lam} } @Article { MR3494237, title = {On tensor product approximation of analytic functions}, journal = {J. Approx. Theory}, year = {2016}, volume = {207}, pages = {348--379}, url = {https://doi.org/10.1016/j.jat.2016.02.006}, DOI = {10.1016/j.jat.2016.02.006}, author = {Griebel, Michael and Oettershagen, Jens} } @Article { MR3544946, title = {Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below}, journal = {J. Geom. Anal.}, year = {2016}, volume = {26}, number = {4}, pages = {2914--2929}, url = {https://doi.org/10.1007/s12220-015-9654-y}, DOI = {10.1007/s12220-015-9654-y}, author = {Gigli, Nicola and Rajala, Tapio and Sturm, Karl-Theodor} } @Article { gershkov2016, title = {Optimal Voting Rules}, journal = {Rev. Econ. Stud.}, year = {2016}, author = {Gershkov, Alex and Shi, Xianwen and Moldovanu, Benny} } @Article { Mirzadeh.Guittet.Burstedde.ea:2016, title = {Parallel level-set methods on adaptive tree-based grids}, journal = {Journal of Computational Physics}, year = {2016}, volume = {322}, pages = {345-364}, author = {Mirzadeh, Mohammad and Guittet, Arthur and Burstedde, Carsten and Gibou, Fr{\~A}©d{\~A}©ric} } @Article { MR3529394, title = {Patching and the p-adic local Langlands correspondence}, journal = {Camb. J. Math.}, year = {2016}, volume = {4}, number = {2}, pages = {197--287}, url = {https://doi.org/10.4310/CJM.2016.v4.n2.a2}, DOI = {10.4310/CJM.2016.v4.n2.a2}, author = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Geraghty, David and Pask\&\#363nas, Vytautas and Shin, Sug Woo} } @Article { MR3506199, title = {Polynomial kernels and user reductions for the workflow satisfiability problem}, journal = {Algorithmica}, year = {2016}, volume = {75}, number = {2}, pages = {383--402}, url = {https://doi.org/10.1007/s00453-015-9986-9}, DOI = {10.1007/s00453-015-9986-9}, author = {Gutin, Gregory and Kratsch, Stefan and Wahlstr{\~A}¶m, Magnus} } @Article { MR3462676, title = {Proof of the gamma conjecture for Fano 3-folds with a Picard lattice of rank one}, journal = {Izv. Ross. Akad. Nauk Ser. Mat.}, year = {2016}, volume = {80}, number = {1}, pages = {27--54}, url = {https://doi.org/10.4213/im8343}, DOI = {10.4213/im8343}, author = {Golyshev, V. V. and Zagir, D.} } @Article { 2016arXiv160606012E, title = {Quantitative Harris type theorems for diffusions and McKean-Vlasov processes}, journal = {ArXiv e-prints}, year = {2016}, author = {Eberle, A. and Guillin, A. and Zimmer, R.} } @Article { MR3490948, title = {Quantum fields obtained from convoluted generalized white noise never have positive metric}, journal = {Lett. Math. Phys.}, year = {2016}, volume = {106}, number = {5}, pages = {575--581}, url = {https://doi.org/10.1007/s11005-016-0817-y}, DOI = {10.1007/s11005-016-0817-y}, author = {Albeverio, Sergio and Gottschalk, Hanno} } @Article { MR3555157, title = {Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras}, journal = {Represent. Theory}, year = {2016}, volume = {20}, pages = {375--413}, url = {https://doi.org/10.1090/ert/487}, DOI = {10.1090/ert/487}, author = {Gei{\~A}?, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { Dohmen2016, title = {Risk Attitudes Across the Life Course}, journal = {Econ. J.}, year = {2016}, abstract = {This paper investigates how risk attitudes change over the life course. We study the age trajectory of risk attitudes all the way from early adulthood until old age, in large representative panel data sets from the Netherlands and Germany. Age patterns are generally difficult to identify separately from cohort or calendar period effects. We achieve identification by replacing calendar period indicators with controls for the specific underlying factors that may change risk attitudes across periods. The main result is that willingness to take risks decreases over the life course, linearly until approximately age 65 after which the slope becomes flatter.}, keywords = {age,cohort,period,risk attitudes}, url = {http://www.ssrn.com/abstract=2731612}, ISBN = {3143388382}, ISSN = {1556-5068}, DOI = {10.2139/ssrn.2731612}, author = {Dohmen, Thomas J. and Armin, Falk and Golsteyn, Bart and Huffman, David and Sunde, Uwe} } @Article { MR3514407, title = {Schwarz iterative methods: infinite space splittings}, journal = {Constr. Approx.}, year = {2016}, volume = {44}, number = {1}, pages = {121--139}, url = {https://doi.org/10.1007/s00365-015-9318-y}, DOI = {10.1007/s00365-015-9318-y}, author = {Griebel, Michael and Oswald, Peter} } @Article { MR3430826, title = {Self-dual uniform matroids on infinite sets}, journal = {Proc. Amer. Math. Soc.}, year = {2016}, volume = {144}, number = {2}, pages = {459--471}, url = {https://doi.org/10.1090/proc/12667}, DOI = {10.1090/proc/12667}, author = {Bowler, Nathan and Geschke, Stefan} } @Article { MR3451928, title = {The representation type of Jacobian algebras}, journal = {Adv. Math.}, year = {2016}, volume = {290}, pages = {364--452}, url = {https://doi.org/10.1016/j.aim.2015.09.038}, DOI = {10.1016/j.aim.2015.09.038}, author = {Gei{\~A}?, Christof and Labardini-Fragoso, Daniel and Schr{\~A}¶er, Jan} } @Incollection { MR3534727, title = {Better s-t-tours by Gao trees}, year = {2016}, volume = {9682}, pages = {126--137}, url = {https://doi.org/10.1007/978-3-319-33461-5_11}, publisher = {Springer, [Cham]}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Integer programming and combinatorial optimization}, DOI = {10.1007/978-3-319-33461-5_11}, author = {Gottschalk, Corinna and Vygen, Jens} } @Incollection { MR3540830, title = {Identity testing for constant-width, and commutative, read-once oblivious ABPs}, year = {2016}, volume = {50}, pages = {Art. No. 29, 16}, publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern}, series = {LIPIcs. Leibniz Int. Proc. Inform.}, booktitle = {31st Conference on Computational Complexity}, author = {Gurjar, Rohit and Korwar, Arpita and Saxena, Nitin} } @Incollection { MR3675927, title = {The Hairer-Quastel universality result at stationarity}, year = {2016}, pages = {101--115}, publisher = {Res. Inst. Math. Sci. (RIMS), Kyoto}, series = {RIMS K{\~A}´ky{\~A}»roku Bessatsu, B59}, booktitle = {Stochastic analysis on large scale interacting systems}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Article { MR3423232, title = {A BV functional and its relaxation for joint motion estimation and image sequence recovery}, journal = {ESAIM Math. Model. Numer. Anal.}, year = {2015}, volume = {49}, number = {5}, pages = {1463--1487}, url = {https://doi.org/10.1051/m2an/2015036}, DOI = {10.1051/m2an/2015036}, author = {Conti, Sergio and Ginster, Janusz and Rumpf, Martin} } @Article { MR3423232, title = {A BV functional and its relaxation for joint motion estimation and image sequence recovery}, journal = {ESAIM Math. Model. Numer. Anal.}, year = {2015}, volume = {49}, number = {5}, pages = {1463--1487}, url = {https://doi.org/10.1051/m2an/2015036}, DOI = {10.1051/m2an/2015036}, author = {Conti, Sergio and Ginster, Janusz and Rumpf, Martin} } @Article { ContiGladbach2015, title = {A line-tension model of dislocation networks on several slip planes}, journal = {Mechanics of Materials}, year = {2015}, volume = {90}, pages = {140--147}, abstract = {Dislocations in crystals can be studied by a Peierls-Nabarro type model, which couples linear elasticity with a nonconvex term modeling plastic slip.In the limit of small lattice spacing, and for dislocations restricted to planes, we show that it reduces to a line-tension model, with an energy depending on the local orientation and Burgers vector of the dislocation. This model predicts,for specific geometries, spontaneous formation of microstructure, in the sense that straight dislocations are unstable towards a zig-zag pattern.Coupling between dislocations in different planes can lead to microstructures over several length scales.}, url = {/fileadmin/AppAna2/publications/preprints/ContiGladbach2015.pdf}, DOI = {10.1016/j.mechmat.2015.01.013}, author = {Conti, Sergio and Gladbach, Peter} } @Article { MR3379022, title = {A log-det inequality for random matrices}, journal = {SIAM J. Matrix Anal. Appl.}, year = {2015}, volume = {36}, number = {3}, pages = {1164--1179}, url = {https://doi.org/10.1137/140954647}, DOI = {10.1137/140954647}, author = {D{\~A}¶rpinghaus, Meik and Gaffke, Norbert and Imhof, Lorens A. and Mathar, Rudolf} } @Article { Griebel.Klitz:2015, title = {CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems}, year = {2015}, note = {Accepted by Journal of Heat and Mass Transfer. Also available as INS Preprint No. 1505.}, author = {Griebel, M. and Klitz, M.} } @Article { MR3504497, title = {Equivalence of the Brownian and energy representations}, journal = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)}, year = {2015}, volume = {441}, number = {Veroyatnost i Statistika. 22}, pages = {17--44}, url = {https://doi.org/10.1007/s10958-016-3134-1}, DOI = {10.1007/s10958-016-3134-1}, author = {Albeverio, S. and Driver, B. K. and Gordina, M. and Vershik, A. M.} } @Article { MR3435614, title = {Exact solutions to quantum spectral curves by topological string theory}, journal = {J. High Energy Phys.}, year = {2015}, number = {10}, pages = {025, front matter+68}, url = {https://doi.org/10.1007/JHEP10(2015)025}, DOI = {10.1007/JHEP10(2015)025}, author = {Gu, Jie and Klemm, Albrecht and Mari{\~A}±o, Marcos and Reuter, Jonas} } @Article { MR3353136, title = {Hitting-sets for ROABP and sum of set-multilinear circuits}, journal = {SIAM J. Comput.}, year = {2015}, volume = {44}, number = {3}, pages = {669--697}, url = {https://doi.org/10.1137/140975103}, DOI = {10.1137/140975103}, author = {Agrawal, Manindra and Gurjar, Rohit and Korwar, Arpita and Saxena, Nitin} } @Article { Karp:GHK15, title = {Inapproximability of dominating set on power law graphs}, journal = {Theoretical Computer Science}, year = {2015}, volume = {562}, pages = {436-452}, author = {Gast, Mikael and Hauptmann, Mathias and Karpinski, Marek} } @Article { MR3282224, title = {Inapproximability of dominating set on power law graphs}, journal = {Theoret. Comput. Sci.}, year = {2015}, volume = {562}, pages = {436--452}, url = {https://doi.org/10.1016/j.tcs.2014.10.021}, DOI = {10.1016/j.tcs.2014.10.021}, author = {Gast, Mikael and Hauptmann, Mathias and Karpinski, Marek} } @Article { MR3322393, title = {Knot invariants from topological recursion on augmentation varieties}, journal = {Comm. Math. Phys.}, year = {2015}, volume = {336}, number = {2}, pages = {987--1051}, url = {https://doi.org/10.1007/s00220-014-2238-z}, DOI = {10.1007/s00220-014-2238-z}, author = {Gu, Jie and Jockers, Hans and Klemm, Albrecht and Soroush, Masoud} } @Article { RN23, title = {Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation}, journal = {Journal of Biomechanics}, year = {2015}, volume = {48}, number = {16}, pages = {4287-4296}, url = {://WOS:000367858600013}, type = {Journal Article}, ISSN = {0021-9290}, DOI = {10.1016/j.jbiomech.2015.10.043}, author = {Heyden, S. and Nagler, A. and Bertoglio, C. and Biehler, J. and Gee, M. W. and Wall, W. A. and Ortiz, M.} } @Article { MR3396435, title = {Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity}, journal = {Calc. Var. Partial Differential Equations}, year = {2015}, volume = {54}, number = {2}, pages = {1847--1874}, url = {https://doi.org/10.1007/s00526-015-0846-x}, DOI = {10.1007/s00526-015-0846-x}, author = {Conti, Sergio and Garroni, Adriana and Massaccesi, Annalisa} } @Article { Liu.Feld.Xiu.ea:2015, title = {Multi-Core Processors and Graphics Processing Unit Accelerators for Parallel Retrieval of Aerosol Optical Depth from Satellite Data: Implementation, Performance and Energy Efficiency}, journal = {IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing}, year = {2015}, volume = {8}, number = {5}, pages = {2306-2317}, DOI = {10.1109/JSTARS.2015.2438893}, author = {Liu, Jia and Feld, Dustin and Xue, Yong and Garcke, Jochen and Soddemann, Thomas} } @Article { Griebel.Harbrecht.Peters:2015, title = {Multilevel quadrature for elliptic parametric partial differential equations on non-nested meshes}, year = {2015}, note = {INS Preprint No. 1521. Submitted to Stochastic Partial Differential Equations: Analysis and Computations}, author = {Griebel, M. and Harbrecht, H. and Peters, M.} } @Article { MR3327356, title = {Multiscale approximation and reproducing kernel Hilbert space methods}, journal = {SIAM J. Numer. Anal.}, year = {2015}, volume = {53}, number = {2}, pages = {852--873}, url = {https://doi.org/10.1137/130932144}, DOI = {10.1137/130932144}, author = {Griebel, Michael and Rieger, Christian and Zwicknagl, Barbara} } @Article { MR3418825, title = {Nonlinear PDEs with modulated dispersion I: Nonlinear Schr{\~A}¶dinger equations}, journal = {Comm. Partial Differential Equations}, year = {2015}, volume = {40}, number = {11}, pages = {2047--2081}, url = {https://doi.org/10.1080/03605302.2015.1073300}, DOI = {10.1080/03605302.2015.1073300}, author = {Chouk, K. and Gubinelli, M.} } @Article { MR3318378, title = {On a system of PDEs associated to a game with a varying number of players}, journal = {Commun. Math. Sci.}, year = {2015}, volume = {13}, number = {3}, pages = {623--639}, url = {https://doi.org/10.4310/CMS.2015.v13.n3.a2}, DOI = {10.4310/CMS.2015.v13.n3.a2}, author = {Bensoussan, Alain and Frehse, Jens and Gr{\~A}¼n, Christine} } @Article { MR3404008, title = {On the spectral flow for Dirac operators with local boundary conditions}, journal = {Int. Math. Res. Not. IMRN}, year = {2015}, number = {17}, pages = {8036--8051}, url = {https://doi.org/10.1093/imrn/rnu188}, DOI = {10.1093/imrn/rnu188}, author = {Gorokhovsky, Alexander and Lesch, Matthias} } @Article { MR3299559, title = {Optimal scaling parameters for sparse grid discretizations}, journal = {Numer. Linear Algebra Appl.}, year = {2015}, volume = {22}, number = {1}, pages = {76--100}, url = {https://doi.org/10.1002/nla.1939}, DOI = {10.1002/nla.1939}, author = {Griebel, Michael and Hullmann, Alexander and Oswald, Peter} } @Article { MR3406823, title = {Paracontrolled distributions and singular PDEs}, journal = {Forum Math. Pi}, year = {2015}, volume = {3}, pages = {e6, 75}, url = {https://doi.org/10.1017/fmp.2015.2}, DOI = {10.1017/fmp.2015.2}, author = {Gubinelli, Massimiliano and Imkeller, Peter and Perkowski, Nicolas} } @Article { Isaac.Burstedde.Wilcox.ea:2015, title = {Recursive algorithms for distributed forests of octrees}, journal = {SIAM Journal on Scientific Computing}, year = {2015}, volume = {37}, number = {5}, pages = {C497-C531}, DOI = {10.1137/140970963}, author = {Isaac, Tobin and Burstedde, Carsten and C. Wilcox, Lucas and Ghattas, Omar} } @Article { Griebel.Rieger.Zwicknagl:2015*1, title = {Regularized kernel based reconstruction in generalized Besov spaces}, year = {2015}, note = {Accepted for publication in Foundations of Computational Mathematics. Also available as INS Preprint No. 1517}, author = {Griebel, M. and Rieger, C. and Zwicknagl, B.} } @Article { MR3383188, title = {Simulation of the oil storage process in the scopa of specialized bees}, journal = {Comput. \& Fluids}, year = {2015}, volume = {119}, pages = {115--130}, url = {https://doi.org/10.1016/j.compfluid.2015.06.029}, DOI = {10.1016/j.compfluid.2015.06.029}, author = {R{\~A}¼ttgers, A. and Griebel, M. and Pastrik, L. and Schmied, H. and Wittmann, D. and Scherrieble, A. and Dinkelmann, A. and Stegmaier, T.} } @Article { MR3388822, title = {Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering}, journal = {Comput. Methods Appl. Mech. Engrg.}, year = {2015}, volume = {295}, pages = {1--17}, url = {https://doi.org/10.1016/j.cma.2015.06.017}, DOI = {10.1016/j.cma.2015.06.017}, author = {Gallistl, D. and Peterseim, D.} } @Article { MR3375538, title = {The line-tension approximation as the dilute limit of linear-elastic dislocations}, journal = {Arch. Ration. Mech. Anal.}, year = {2015}, volume = {218}, number = {2}, pages = {699--755}, url = {https://doi.org/10.1007/s00205-015-0869-7}, DOI = {10.1007/s00205-015-0869-7}, author = {Conti, Sergio and Garroni, Adriana and Ortiz, Michael} } @Article { MR3375538, title = {The line-tension approximation as the dilute limit of linear-elastic dislocations}, journal = {Arch. Ration. Mech. Anal.}, year = {2015}, volume = {218}, number = {2}, pages = {699--755}, url = {https://doi.org/10.1007/s00205-015-0869-7}, DOI = {10.1007/s00205-015-0869-7}, author = {Conti, Sergio and Garroni, Adriana and Ortiz, Michael} } @Article { RN27, title = {The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations}, journal = {Archive for Rational Mechanics and Analysis}, year = {2015}, volume = {218}, number = {2}, pages = {699-755}, url = {://WOS:000358797700003}, type = {Journal Article}, ISSN = {0003-9527}, DOI = {10.1007/s00205-015-0869-7}, author = {Conti, S. and Garroni, A. and Ortiz, M.} } @Article { Burkow.Griebel:2015, title = {Towards the three-dimensional numerical simulation of fluvial geomorphological processes}, journal = {Zeitschrift f{\~A}¼r Geomorphologie}, year = {2015}, volume = {58}, number = {3}, pages = {15-32}, note = {also available as INS Preprint No. 1502}, DOI = {10.1127/zfg_suppl/2015/S-00215}, author = {Burkow, M. and Griebel, M.} } @Book { MR3445609, title = {Lectures on singular stochastic PDEs}, year = {2015}, volume = {29}, pages = {89}, publisher = {Sociedade Brasileira de Matem{\~A}¡tica, Rio de Janeiro}, series = {Ensaios Matem{\~A}¡ticos [Mathematical Surveys]}, ISBN = {978-85-8337-079-6}, author = {Gubinelli, Massimiliano and Perkowski, Nicolas} } @Incollection { MR3441810, title = {Deterministic identity testing for sum of read-once oblivious arithmetic branching programs}, year = {2015}, volume = {33}, pages = {323--346}, publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern}, series = {LIPIcs. Leibniz Int. Proc. Inform.}, booktitle = {30th Conference on Computational Complexity}, author = {Gurjar, Rohit and Korwar, Arpita and Saxena, Nitin and Thierauf, Thomas} } @Incollection { MR3446413, title = {Improved analysis of complete-linkage clustering}, year = {2015}, volume = {9294}, pages = {656--667}, url = {https://doi.org/10.1007/978-3-662-48350-3_55}, publisher = {Springer, Heidelberg}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Algorithms---ESA 2015}, DOI = {10.1007/978-3-662-48350-3_55}, author = {Gro{\~A}? wendt, Anna and R{\~A}¶glin, Heiko} } @Incollection { MR3356411, title = {Solving totally unimodular LPs with the shadow vertex algorithm}, year = {2015}, volume = {30}, pages = {171--183}, publisher = {Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern}, series = {LIPIcs. Leibniz Int. Proc. Inform.}, booktitle = {32nd International Symposium on Theoretical Aspects of Computer Science}, author = {Brunsch, Tobias and Gro{\~A}? wendt, Anna and R{\~A}¶glin, Heiko} } @Article { MR3150717, title = {2-dimensional convexity numbers and P\(_{4}\)-free graphs}, journal = {Canad. Math. Bull.}, year = {2014}, volume = {57}, number = {1}, pages = {61--71}, url = {https://doi.org/10.4153/CMB-2012-031-5}, DOI = {10.4153/CMB-2012-031-5}, author = {Geschke, Stefan} } @Article { MR3168277, title = {Approximation of bi-variate functions: singular value decomposition versus sparse grids}, journal = {IMA J. Numer. Anal.}, year = {2014}, volume = {34}, number = {1}, pages = {28--54}, url = {https://doi.org/10.1093/imanum/drs047}, DOI = {10.1093/imanum/drs047}, author = {Griebel, Michael and Harbrecht, Helmut} } @Article { MR3171380, title = {Approximation of high-dimensional rank one tensors}, journal = {Constr. Approx.}, year = {2014}, volume = {39}, number = {2}, pages = {385--395}, url = {https://doi.org/10.1007/s00365-013-9219-x}, DOI = {10.1007/s00365-013-9219-x}, author = {Bachmayr, Markus and Dahmen, Wolfgang and DeVore, Ronald and Grasedyck, Lars} } @Article { MR3191513, title = {Beliefs, payoffs, information: on the robustness of the BDP property in models with endogenous beliefs}, journal = {J. Math. Econom.}, year = {2014}, volume = {51}, pages = {136--153}, url = {https://doi.org/10.1016/j.jmateco.2013.10.010}, DOI = {10.1016/j.jmateco.2013.10.010}, author = {Gizatulina, Alia and Hellwig, Martin} } @Article { Altmann2014b, title = {Contractual incompleteness, unemployment, and labour market segmentation}, journal = {Rev. Econ. Stud.}, year = {2014}, volume = {81}, number = {1}, pages = {30--56}, abstract = {This article provides evidence that involuntary unemployment, and the segmentation of labour markets into firms offering ''good'' and ''bad'' jobs, may both arise as a consequence of contractual incompleteness.We provide a simple model that illustrates how unemployment and market segmentation may jointly emerge as part of a market equilibrium in environments where work effort is not third-party verifiable. Using experimental labour markets that differ only in the verifiability of effort, we demonstrate empirically that contractual incompleteness can cause unemployment and segmentation. Our data are also consistent with the key channels through which the model explains the emergence of both phenomena. \textbackslashtextcopyright The Author 2013.}, keywords = {Contractual incompleteness,Dual labour markets,Incentives,Laboratory experiment,Unemployment}, ISSN = {00346527}, DOI = {10.1093/restud/rdt034}, author = {Altmann, Steffen and Falk, Armin and Grunewald, Andreas and Huffman, David} } @Article { MR3174815, title = {Contractual incompleteness, unemployment, and labour market segmentation}, journal = {Rev. Econ. Stud.}, year = {2014}, volume = {81}, number = {1}, pages = {30--56}, url = {https://doi.org/10.1093/restud/rdt034}, DOI = {10.1093/restud/rdt034}, author = {Altmann, Steffen and Falk, Armin and Grunewald, Andreas and Huffman, David} } @Article { MR3213801, title = {Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping}, journal = {SIAM J. Sci. Comput.}, year = {2014}, volume = {36}, number = {3}, pages = {A1027--A1047}, url = {https://doi.org/10.1137/130931382}, DOI = {10.1137/130931382}, author = {Griebel, M. and Hullmann, A.} } @Article { MR3263281, title = {Lower bounds for the average and smoothed number of Pareto-optima}, journal = {Theory Comput.}, year = {2014}, volume = {10}, pages = {237--256}, url = {https://doi.org/10.4086/toc.2014.v010a010}, DOI = {10.4086/toc.2014.v010a010}, author = {Brunsch, Tobias and Goyal, Navin and Rademacher, Luis and R{\~A}¶glin, Heiko} } @Article { Griebel.Ruttgers:2013*1, title = {Multiscale simulations of three-dimensional viscoelastic flows in a square-square contraction}, journal = {Journal of non-Newtonian Fluid Mechanics}, year = {2014}, volume = {205}, pages = {41-63}, note = {also available as INS Preprint No. 1313}, author = {Griebel, M. and R{\~A}¼ttgers, A.} } @Article { Krebs05112014, title = {Optimization of transcription factor binding map accuracy utilizing knockout-mouse models}, journal = {Nucleic Acids Research}, year = {2014}, url = {http://nar.oxfordjournals.org/content/early/2014/11/05/nar.gku1078.abstract}, DOI = {10.1093/nar/gku1078}, author = {Krebs, Wolfgang and Schmidt, Susanne V. and Goren, Alon and De Nardo, Dominic and Labzin, Larisa and Bovier, Anton and Ulas, Thomas and Theis, Heidi and Kraut, Michael and Latz, Eicke and Beyer, Marc and Schultze, Joachim L.} } @Article { MR3230409, title = {Stochastic differential games with a varying number of players}, journal = {Commun. Pure Appl. Anal.}, year = {2014}, volume = {13}, number = {5}, pages = {1719--1736}, url = {https://doi.org/10.3934/cpaa.2014.13.1719}, DOI = {10.3934/cpaa.2014.13.1719}, author = {Bensoussan, Alain and Frehse, Jens and Gr{\~A}¼n, Christine} } @Article { MR3261107, title = {Ultraviolet renormalization of the Nelson Hamiltonian through functional integration}, journal = {J. Funct. Anal.}, year = {2014}, volume = {267}, number = {9}, pages = {3125--3153}, url = {https://doi.org/10.1016/j.jfa.2014.08.002}, DOI = {10.1016/j.jfa.2014.08.002}, author = {Gubinelli, Massimiliano and Hiroshima, Fumio and L\&\#337;rinczi, J{\~A}³zsef} } @Book { MR3616139, title = {Dynamic allocation and pricing: a mechanism design approach}, year = {2014}, pages = {195}, publisher = {MIT Press, Cambridge, MA}, series = {Arne Ryde Memorial Lectures Series}, ISBN = {978-0-262-02840-0}, author = {Gershkov, Alex and Moldovanu, Benny} } @Inbook { Pflueger2014, title = {EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond}, year = {2014}, pages = {565--576}, url = {http://dx.doi.org/10.1007/978-3-319-14313-2_48}, editor = {Lopes, Lu{\~A}­s and Zilinskas, Julius and Costan, Alexandru and Cascella, Roberto G. and Kecskemeti, Gabor and Jeannot, Emmanuel and Cannataro, Mario and Ricci, Laura and Benkner, Siegfried and Petit, Salvador and Scarano, Vittorio and Gracia, Jos{\~A}© and Huno}, publisher = {Springer International Publishing}, address = {Cham}, booktitle = {Euro-Par 2014: Parallel Processing Workshops: Euro-Par 2014 International Workshops, Porto, Portugal, August 25-26, 2014, Revised Selected Papers, Part II}, ISBN = {978-3-319-14313-2}, DOI = {10.1007/978-3-319-14313-2_48}, author = {Pfl{\~A}¼ger, Dirk and Bungartz, Hans-Joachim and Griebel, Michael and Jenko, Frank and Dannert, Tilman and Heene, Mario and Kowitz, Christoph and Hinojosa, Alfredo Parra and Zaspel, Peter} } @Incollection { MR3329339, title = {A bond order dissection ANOVA approach for efficient electronic structure calculations}, year = {2014}, volume = {102}, pages = {211--235}, url = {https://doi.org/10.1007/978-3-319-08159-5_11}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Extraction of quantifiable information from complex systems}, DOI = {10.1007/978-3-319-08159-5_11}, author = {Griebel, Michael and Hamaekers, Jan and Heber, Frederik} } @Incollection { Griebel.Hullmann:2014*1, title = {A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data}, year = {2014}, pages = {51-62}, note = {Also available as INS Preprint No. 1206}, url = {http://dx.doi.org/10.1007/978-3-319-09063-4_5}, editor = {H. Bock and X. Hoang and R. Rannacher and J. Schl{\~A}¶der}, publisher = {Springer International Publishing}, booktitle = {Modeling, Simulation and Optimization of Complex Processes - HPSC 2012}, language = {English}, ISBN = {978-3-319-09062-7}, DOI = {10.1007/978-3-319-09063-4_5}, author = {Griebel, M. and Hullmann, A.} } @Incollection { MR3329337, title = {Adaptive sparse grids in reinforcement learning}, year = {2014}, volume = {102}, pages = {179--194}, url = {https://doi.org/10.1007/978-3-319-08159-5_9}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Extraction of quantifiable information from complex systems}, DOI = {10.1007/978-3-319-08159-5_9}, author = {Garcke, Jochen and Klompmaker, Irene} } @Incollection { Griebel.Oettershagen:2014, title = {Dimension-adaptive sparse grid quadrature for integrals with boundary singularities}, year = {2014}, volume = {97}, pages = {109--136}, note = {Also available as INS Preprint no 1310.}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse grids and Applications}, author = {Griebel, Michael and Oettershagen, Jens} } @Incollection { MR3693087, title = {Dimension-adaptive sparse grid quadrature for integrals with boundary singularities}, year = {2014}, volume = {97}, pages = {109--136}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications---Munich 2012}, author = {Griebel, Michael and Oettershagen, Jens} } @Incollection { Griebel.Hamaekers:2014, title = {Fast Discrete Fourier Transform on Generalized Sparse Grids}, year = {2014}, volume = {97}, number = {1305}, pages = {75--108}, note = {INS Preprint No. 1305}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse grids and Applications}, institution = {Institute for Numerical Simulation, University of Bonn}, type = {Preprint}, author = {Griebel, M. and Hamaekers, J.} } @Incollection { MR3693086, title = {Fast discrete Fourier transform on generalized sparse grids}, year = {2014}, volume = {97}, pages = {75--107}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications---Munich 2012}, author = {Griebel, Michael and Hamaekers, Jan} } @Incollection { MR3205045, title = {On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions}, year = {2014}, pages = {263--296}, url = {https://doi.org/10.1007/978-3-319-00786-1_12}, publisher = {Springer, Cham}, booktitle = {Singular phenomena and scaling in mathematical models}, DOI = {10.1007/978-3-319-00786-1_12}, author = {Griebel, Michael and Hullmann, Alexander} } @Incollection { Griebel.Harbrecht:2014, title = {On the convergence of the combination technique}, year = {2014}, volume = {97}, pages = {55--74}, note = {Also available as INS Preprint No. 1304.}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse grids and Applications}, author = {Griebel, M. and Harbrecht, H.} } @Incollection { MR3693085, title = {On the convergence of the combination technique}, year = {2014}, volume = {97}, pages = {55--74}, publisher = {Springer, Cham}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications---Munich 2012}, author = {Griebel, Michael and Harbrecht, Helmut} } @Incollection { MR3333294, title = {Polynomial kernels and user reductions for the workflow satisfiability problem}, year = {2014}, volume = {8894}, pages = {208--220}, url = {https://doi.org/10.1007/978-3-319-13524-3_18}, publisher = {Springer, Cham}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Parameterized and exact computation}, DOI = {10.1007/978-3-319-13524-3_18}, author = {Gutin, Gregory and Kratsch, Stefan and Wahlstr{\~A}¶m, Magnus} } @Incollection { MR3205046, title = {Simulation of droplet impact with dynamic contact angle boundary conditions}, year = {2014}, pages = {297--325}, url = {https://doi.org/10.1007/978-3-319-00786-1_13}, publisher = {Springer, Cham}, booktitle = {Singular phenomena and scaling in mathematical models}, DOI = {10.1007/978-3-319-00786-1_13}, author = {Griebel, Michael and Klitz, Margrit} } @Incollection { MR3328977, title = {Two-stage stochastic optimization meets two-scale simulation}, year = {2014}, volume = {165}, pages = {193--211}, url = {https://doi.org/10.1007/978-3-319-05083-6_13}, publisher = {Birkh{\~A}¤user/Springer, Cham}, series = {Internat. Ser. Numer. Math.}, booktitle = {Trends in PDE constrained optimization}, DOI = {10.1007/978-3-319-05083-6_13}, author = {Conti, Sergio and Geihe, Benedict and Rumpf, Martin and Schultz, R{\~A}¼diger} } @Incollection { MR3328977, title = {Two-stage stochastic optimization meets two-scale simulation}, year = {2014}, volume = {165}, pages = {193--211}, url = {https://doi.org/10.1007/978-3-319-05083-6_13}, publisher = {Birkh{\~A}¤user/Springer, Cham}, series = {Internat. Ser. Numer. Math.}, booktitle = {Trends in PDE constrained optimization}, DOI = {10.1007/978-3-319-05083-6_13}, author = {Conti, Sergio and Geihe, Benedict and Rumpf, Martin and Schultz, R{\~A}¼diger} } @Inproceedings { Adelsberger.Esser.Griebel.ea:2014, title = {3D incompressible two-phase flow benchmark computations for rising droplets}, year = {2014}, note = {Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, also available as INS Preprint No. 1401 and as IGPM Preprint No. 393}, url = {http://www.wccm-eccm-ecfd2014.org/frontal/Ebook.asp}, author = {Adelsberger, J. and Esser, P. and Griebel, M. and Gro{\~A}?, S. and Klitz, M. and R{\~A}¼ttgers, A.} } @Inproceedings { Garcke.Vanck:2014, title = {Importance Weighted Inductive Transfer Learning for Regression}, year = {2014}, volume = {8724}, pages = {466-481}, keywords = {inductive transfer learning; importance weighting; dataset shift}, editor = {Calders, Toon and Esposito, Floriana and H{\~A}¼llermeier, Eyke and Meo, Rosa}, publisher = {Springer Berlin Heidelberg}, series = {Lecture Notes in Computer Science}, booktitle = {Proceedings of ECMLPKDD 2014, Nancy}, language = {English}, ISBN = {978-3-662-44847-2}, DOI = {10.1007/978-3-662-44848-9_30}, author = {Garcke, Jochen and Vanck, Thomas} } @Inproceedings { Griebel.Ruttgers:2014, title = {Simulation of dilute polymeric fluids in a three-dimensional contraction using a multiscale FENE model}, year = {2014}, volume = {1593}, pages = {539-543}, note = {Proceedings of PPS-29: The 29th International Conference of the Polymer Processing Society, Nuremberg, Germany, also available as INS Preprint No. 1308}, series = {AIP Conference Proceedings}, author = {Griebel, M. and R{\~A}¼ttgers, A.} } @Article { MR3097046, title = {A note on the construction of L-fold sparse tensor product spaces}, journal = {Constr. Approx.}, year = {2013}, volume = {38}, number = {2}, pages = {235--251}, url = {https://doi.org/10.1007/s00365-012-9178-7}, DOI = {10.1007/s00365-012-9178-7}, author = {Griebel, Michael and Harbrecht, Helmut} } @Article { MR3045704, title = {An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations}, journal = {J. Sci. Comput.}, year = {2013}, volume = {55}, number = {3}, pages = {575--605}, url = {https://doi.org/10.1007/s10915-012-9648-x}, DOI = {10.1007/s10915-012-9648-x}, author = {Bokanowski, Olivier and Garcke, Jochen and Griebel, Michael and Klompmaker, Irene} } @Article { MR3045704, title = {An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations}, journal = {J. Sci. Comput.}, year = {2013}, volume = {55}, number = {3}, pages = {575--605}, url = {https://doi.org/10.1007/s10915-012-9648-x}, DOI = {10.1007/s10915-012-9648-x}, author = {Bokanowski, Olivier and Garcke, Jochen and Griebel, Michael and Klompmaker, Irene} } @Article { MR3103769, title = {Bandwidth selection in marker dependent kernel hazard estimation}, journal = {Comput. Statist. Data Anal.}, year = {2013}, volume = {68}, pages = {155--169}, url = {https://doi.org/10.1016/j.csda.2013.06.010}, DOI = {10.1016/j.csda.2013.06.010}, author = {G{\~A}¡miz P{\~A}©rez, Mar\textbackslash'\textbackslashia Luz and Janys, Lena and Mart\textbackslash'\textbackslashinez Miranda, Mar\textbackslash'\textbackslashia Dolores and Nielsen, Jens Perch} } @Article { Gester:2013:BAD:2442087.2442103, title = {BonnRoute: Algorithms and data structures for fast and good VLSI routing}, journal = {ACM Trans. Des. Autom. Electron. Syst.}, year = {2013}, volume = {18}, number = {2}, pages = {32:1--32:24}, keywords = {Global routing, detailed routing, routing optimization}, url = {http://doi.acm.org/10.1145/2442087.2442103}, publisher = {ACM}, address = {New York, NY, USA}, DOI = {10.1145/2442087.2442103}, author = {Gester, Michael and M{\~A}¼ller, Dirk and Nieberg, Tim and Panten, Christian and Schulte, Christian and Vygen, Jens} } @Article { MR3024043, title = {Clopen graphs}, journal = {Fund. Math.}, year = {2013}, volume = {220}, number = {2}, pages = {155--189}, url = {https://doi.org/10.4064/fm220-2-5}, DOI = {10.4064/fm220-2-5}, author = {Geschke, Stefan} } @Article { MR3022762, title = {Cluster algebras in algebraic Lie theory}, journal = {Transform. Groups}, year = {2013}, volume = {18}, number = {1}, pages = {149--178}, url = {https://doi.org/10.1007/s00031-013-9215-z}, DOI = {10.1007/s00031-013-9215-z}, author = {Geiss, Ch. and Leclerc, B. and Schr{\~A}¶er, J.} } @Article { MR3090232, title = {Cluster structures on quantum coordinate rings}, journal = {Selecta Math. (N.S.)}, year = {2013}, volume = {19}, number = {2}, pages = {337--397}, url = {https://doi.org/10.1007/s00029-012-0099-x}, DOI = {10.1007/s00029-012-0099-x}, author = {Gei{\~A}?, C. and Leclerc, B. and Schr{\~A}¶er, J.} } @Article { MR3141754, title = {Convergence of a discontinuous Galerkin multiscale method}, journal = {SIAM J. Numer. Anal.}, year = {2013}, volume = {51}, number = {6}, pages = {3351--3372}, url = {https://doi.org/10.1137/120900113}, DOI = {10.1137/120900113}, author = {Elfverson, Daniel and Georgoulis, Emmanuil H. and M{\~A}¥ lqvist, Axel and Peterseim, Daniel} } @Article { MR3077527, title = {Convergence of clock processes in random environments and ageing in the p-spin SK model}, journal = {Ann. Probab.}, year = {2013}, volume = {41}, number = {2}, pages = {817--847}, url = {https://doi.org/10.1214/11-AOP705}, DOI = {10.1214/11-AOP705}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR3101847, title = {Convergence to extremal processes in random environments and extremal ageing in SK models}, journal = {Probab. Theory Related Fields}, year = {2013}, volume = {157}, number = {1-2}, pages = {251--283}, url = {https://doi.org/10.1007/s00440-012-0456-x}, DOI = {10.1007/s00440-012-0456-x}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Svejda, Ad{\~A}©la} } @Article { MR3064982, title = {Factorial cluster algebras}, journal = {Doc. Math.}, year = {2013}, volume = {18}, pages = {249--274}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR3030707, title = {Fast approximation of the discrete gauss transform in higher dimensions}, journal = {J. Sci. Comput.}, year = {2013}, volume = {55}, number = {1}, pages = {149--172}, url = {https://doi.org/10.1007/s10915-012-9626-3}, DOI = {10.1007/s10915-012-9626-3}, author = {Griebel, Michael and Wissel, Daniel} } @Article { MR3093292, title = {Global solutions of the random vortex filament equation}, journal = {Nonlinearity}, year = {2013}, volume = {26}, number = {9}, pages = {2499--2514}, url = {https://doi.org/10.1088/0951-7715/26/9/2499}, DOI = {10.1088/0951-7715/26/9/2499}, author = {Brze{\'z}niak, Z. and Gubinelli, M. and Neklyudov, M.} } @Article { Altmann2013, title = {Incentives and Information as Driving Forces of Default Effects}, journal = {IZA Discuss. Pap.}, year = {2013}, number = {7610}, pages = {1--39}, abstract = {The behavioral relevance of non-binding default options is well established. While most research has focused on decision makers' responses to a given default, we argue that this individual decision making perspective is incomplete. Instead, a comprehensive understanding of the foundation of default effects requires taking account of the strategic interaction between default setters and decision makers. We provide a theoretical framework to analyze which default options arise in such interactions, and which defaults are more likely to affect behavior. The key drivers are the relative level of information of default setters and decision makers, and their alignment of interests. We show that default effects are more pronounced if interests of the default setter and decision makers are more closely aligned. Moreover, decision makers are more likely to follow default options the less they are privately informed about the relevant decision environment. In the second part of the paper we experimentally test the main predictions of the model. We report evidence that both the alignment of interests as well as the relative level of information are key determinants of default effects. An important policy relevant conclusion is that potential distortions arising from default options are unlikely if decision makers are either well-informed or reflect on the interests of default setters.}, keywords = {C92,D03,D18,D83,behavioral economics,default options,incentives,laboratory experiment,libertarian paternalism}, url = {http://www.eea-esem.com/files/papers/eea-esem/2012/2541/Altmann, Falk, Grunewald, Incentives and Information as Driving Forces of Default Effects.pdf}, address = {Bonn}, series = {Discussion Paper}, institution = {IZA}, author = {Altmann, Steffen and Falk, Armin and Grunewald, Andreas} } @Article { Burstedde.Stadler.Alisic.ea:2013, title = {Large-scale adaptive mantle convection simulation}, journal = {Geophysical Journal International}, year = {2013}, volume = {192}, number = {3}, pages = {889-906}, DOI = {10.1093/gji/ggs070}, author = {Burstedde, Carsten and Stadler, Georg and Alisic, Laura and Wilcox, Lucas C. and Tan, Eh and Gurnis, Michael and Ghattas, Omar} } @Article { Falk2013f, title = {Living in Two Neighborhoods - Social Interaction Effects in the Laboratory}, journal = {Econ. Inq.}, year = {2013}, volume = {51}, number = {1}, pages = {563--578}, abstract = {Field evidence suggests that people belonging to the same group often behave similarly, that is, behavior exhibits social interaction effects. We conduct a laboratory experiment that avoids the identification problem present in the field and allows us to study the behavioral logic of social interaction effects. Our novel design feature is that each subject is simultaneously a member of two randomly assigned and identical groups where only members (''neighbors'') are different. We study behavior in a coordination game with multiple equilibria and a public goods game, which has only one equilibrium in material payoffs. We speak of social interactions if the same subject at the same time makes group-specific decisions that depend on their respective neighbors' decisions. We find that a majority of subjects exhibit social interaction effects both when the game has multiple equilibria in material payoffs and when it only has one equilibrium.}, keywords = {C91,H26,H41,K42}, url = {http://doi.wiley.com/10.1111/j.1465-7295.2010.00332.x}, ISSN = {00952583}, DOI = {10.1111/j.1465-7295.2010.00332.x}, author = {Falk, Armin and Fischbacher, Urs and G{\~A}¤chter, Simon} } @Article { Neuen.Griebel.Hamaekers:2012, title = {Multiscale Simulation of Ion Migration for Battery Systems}, journal = {MRS Online Proceedings Library}, year = {2013}, volume = {1535}, abstract = {In this paper we describe a multi-scale approach to ionmigration processes, which involves a bridging from theatomic scale to the macroscopic scale. To this end, thediffusion coefficient of a material i.e. a macroscopicphysical quantity, will be appropriately determined frommolecular dynamics simulations on the microscale. This way,performance predictions become possible prior to materialsynthesis. However, standard methods produce in generalwrong results for ensemble setups which correspond tobattery or capacitor applications. We introduce a novelmethod to derive correct values also for such problems.These values are then used in a macroscopic system ofpartial differential equation (Poisson-Nernst-Plancksystem) for the numerical simulation of ion migration in abattery.}, note = {Also available as INS Preprint no. 1208}, url = {http://journals.cambridge.org/article_S1946427413004697}, ISSN = {null}, DOI = {10.1557/opl.2013.469}, author = {Neuen, Christian and Griebel, Michael and Hamaekers, Jan} } @Article { MR3001432, title = {Non-Bayesian optimal search and dynamic implementation}, journal = {Econom. Lett.}, year = {2013}, volume = {118}, number = {1}, pages = {121--125}, url = {https://doi.org/10.1016/j.econlet.2012.09.026}, DOI = {10.1016/j.econlet.2012.09.026}, author = {Gershkov, Alex and Moldovanu, Benny} } @Article { MR3008845, title = {On the construction of sparse tensor product spaces}, journal = {Math. Comp.}, year = {2013}, volume = {82}, number = {282}, pages = {975--994}, url = {https://doi.org/10.1090/S0025-5718-2012-02638-X}, DOI = {10.1090/S0025-5718-2012-02638-X}, author = {Griebel, Michael and Harbrecht, Helmut} } @Article { MR3030769, title = {On the equivalence of Bayesian and dominant strategy implementation}, journal = {Econometrica}, year = {2013}, volume = {81}, number = {1}, pages = {197--220}, url = {https://doi.org/10.3982/ECTA10592}, DOI = {10.3982/ECTA10592}, author = {Gershkov, Alex and Goeree, Jacob K. and Kushnir, Alexey and Moldovanu, Benny and Shi, Xianwen} } @Article { MR3327509, title = {Regularization by noise and stochastic Burgers equations}, journal = {Stoch. Partial Differ. Equ. Anal. Comput.}, year = {2013}, volume = {1}, number = {2}, pages = {325--350}, url = {https://doi.org/10.1007/s40072-013-0011-5}, DOI = {10.1007/s40072-013-0011-5}, author = {Gubinelli, M. and Jara, M.} } @Article { MR3097291, title = {Risk averse elastic shape optimization with parametrized fine scale geometry}, journal = {Math. Program.}, year = {2013}, volume = {141}, number = {1-2, Ser. A}, pages = {383--403}, url = {https://doi.org/10.1007/s10107-012-0531-1}, DOI = {10.1007/s10107-012-0531-1}, author = {Geihe, Benedict and Lenz, Martin and Rumpf, Martin and Schultz, R{\~A}¼diger} } @Article { MR3068077, title = {Solving incompressible two-phase flows on multi-GPU clusters}, journal = {Comput. \& Fluids}, year = {2013}, volume = {80}, pages = {356--364}, url = {https://doi.org/10.1016/j.compfluid.2012.01.021}, DOI = {10.1016/j.compfluid.2012.01.021}, author = {Zaspel, Peter and Griebel, Michael} } @Article { MR3085664, title = {The nematic phase of a system of long hard rods}, journal = {Comm. Math. Phys.}, year = {2013}, volume = {323}, number = {1}, pages = {143--175}, url = {https://doi.org/10.1007/s00220-013-1767-1}, DOI = {10.1007/s00220-013-1767-1}, author = {Disertori, Margherita and Giuliani, Alessandro} } @Article { MR2983028, title = {The smoothing effect of integration in \{\textbackslashBbbR\verb=^=d\} and the ANOVA decomposition}, journal = {Math. Comp.}, year = {2013}, volume = {82}, number = {281}, pages = {383--400}, url = {https://doi.org/10.1090/S0025-5718-2012-02578-6}, DOI = {10.1090/S0025-5718-2012-02578-6}, author = {Griebel, Michael and Kuo, Frances Y. and Sloan, Ian H.} } @Article { Garcke.Gerstner.Griebel:2013, title = {Time Series Forecasting using Sparse Grids}, journal = {Computing and Visualization in Science}, year = {2013}, note = {submitted}, author = {Garcke, J. and Gerstner, T. and Griebel, M.} } @Incollection { MR3693069, title = {An adaptive sparse grid approach for time series prediction}, year = {2013}, volume = {88}, pages = {1--30}, publisher = {Springer, Heidelberg}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications}, author = {Bohn, Bastian and Griebel, Michael} } @Incollection { MR3693074, title = {An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model}, year = {2013}, volume = {88}, pages = {121--150}, publisher = {Springer, Heidelberg}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications}, author = {Griebel, Michael and Hullmann, Alexander} } @Incollection { MR3693072, title = {Intraday foreign exchange rate forecasting using sparse grids}, year = {2013}, volume = {88}, pages = {81--105}, publisher = {Springer, Heidelberg}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications}, author = {Garcke, Jochen and Gerstner, Thomas and Griebel, Michael} } @Incollection { MR3693072, title = {Intraday foreign exchange rate forecasting using sparse grids}, year = {2013}, volume = {88}, pages = {81--105}, publisher = {Springer, Heidelberg}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications}, author = {Garcke, Jochen and Gerstner, Thomas and Griebel, Michael} } @Incollection { MR3693071, title = {Sparse grids in a nutshell}, year = {2013}, volume = {88}, pages = {57--80}, url = {https://doi.org/10.1007/978-3-642-31703-3}, publisher = {Springer, Heidelberg}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Sparse grids and applications}, DOI = {10.1007/978-3-642-31703-3}, author = {Garcke, Jochen} } @Inproceedings { Griebel.Hullmann:2012, title = {An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model}, year = {2013}, pages = {121--150}, note = {Also available as INS Preprint No. 1202}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse grids and Applications}, author = {Griebel, M. and Hullmann, A.} } @Article { Martin.Wilcox.Burstedde.ea:2012, title = {A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion}, journal = {SIAM Journal on Scientific Computing}, year = {2012}, volume = {34}, number = {3}, pages = {A1460-A1487}, author = {Martin, James and Wilcox, Lucas C. and Burstedde, Carsten and Ghattas, Omar} } @Article { MR2986335, title = {Friedrich Hirzebruch memorial session at the 6th European Congress of Mathematics. Krak{\~A}³w, July 5th, 2012}, journal = {Eur. Math. Soc. Newsl.}, year = {2012}, number = {85}, pages = {12--20}, author = {Sanz-Sol{\~A}©, Marta and Atiyah, Michael and B{\~A}¤r, Christian and Greuel, Gert-Martin and Manin, Yuri I. and Bourguignon, Jean-Pierre} } @Article { MR2833478, title = {Generic bases for cluster algebras and the Chamber ansatz}, journal = {J. Amer. Math. Soc.}, year = {2012}, volume = {25}, number = {1}, pages = {21--76}, url = {https://doi.org/10.1090/S0894-0347-2011-00715-7}, DOI = {10.1090/S0894-0347-2011-00715-7}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2946344, title = {Greedy and randomized versions of the multiplicative Schwarz method}, journal = {Linear Algebra Appl.}, year = {2012}, volume = {437}, number = {7}, pages = {1596--1610}, url = {https://doi.org/10.1016/j.laa.2012.04.052}, DOI = {10.1016/j.laa.2012.04.052}, author = {Griebel, Michael and Oswald, Peter} } @Article { Karp:GHK12a, title = {Improved Approximation Lower Bounds for Vertex Cover on Power Law Graphs and Some Generalizations}, journal = {CoRR}, year = {2012}, volume = {abs/1210.2698}, author = {Gast, Mikael and Hauptmann, Mathias and Karpinski, Marek} } @Article { RN66, title = {Mesoscopic approach to granular crystal dynamics}, journal = {Physical Review E}, year = {2012}, volume = {85}, number = {1}, url = {://WOS:000299990300007}, type = {Journal Article}, ISSN = {1539-3755}, DOI = {ARTN 01660410.1103/PhysRevE.85.016604}, author = {Gonzalez, M. and Yang, J. Y. and Daraio, C. and Ortiz, M.} } @Article { Alisic.Gurnis.Stadler.ae:2012, title = {Multi-scale dynamics and rheology of mantle flow with plates}, journal = {Journal of Geophysical Research}, year = {2012}, volume = {117}, pages = {B10402}, DOI = {10.1029/2012JB009234}, author = {Alisic, Laura and Gurnis, Michael and Stadler, Georg and Burstedde, Carsten and Ghattas, Omar} } @Article { MR2925571, title = {Non-linear rough heat equations}, journal = {Probab. Theory Related Fields}, year = {2012}, volume = {153}, number = {1-2}, pages = {97--147}, url = {https://doi.org/10.1007/s00440-011-0341-z}, DOI = {10.1007/s00440-011-0341-z}, author = {Deya, A. and Gubinelli, M. and Tindel, S.} } @Article { MR2913247, title = {Optimal search, learning and implementation}, journal = {J. Econom. Theory}, year = {2012}, volume = {147}, number = {3}, pages = {881--909}, url = {https://doi.org/10.1016/j.jet.2012.01.012}, DOI = {10.1016/j.jet.2012.01.012}, author = {Gershkov, Alex and Moldovanu, Benny} } @Article { MR2872762, title = {Optimal seedings in elimination tournaments}, journal = {Econom. Theory}, year = {2012}, volume = {49}, number = {1}, pages = {59--80}, url = {https://doi.org/10.1007/s00199-008-0356-6}, DOI = {10.1007/s00199-008-0356-6}, author = {Groh, Christian and Moldovanu, Benny and Sela, Aner and Sunde, Uwe} } @Article { MR3305566, title = {Remarks on the stochastic transport equation with H{\~A}¶lder drift}, journal = {Rend. Semin. Mat. Univ. Politec. Torino}, year = {2012}, volume = {70}, number = {1}, pages = {53--73}, author = {Flandoli, F. and Gubinelli, M. and Priola, E.} } @Article { MR2861805, title = {Rough solutions for the periodic Korteweg--de Vries equation}, journal = {Commun. Pure Appl. Anal.}, year = {2012}, volume = {11}, number = {2}, pages = {709--733}, url = {https://doi.org/10.3934/cpaa.2012.11.709}, DOI = {10.3934/cpaa.2012.11.709}, author = {Gubinelli, Massimiliano} } @Article { MR2864796, title = {Striped periodic minimizers of a two-dimensional model for martensitic phase transitions}, journal = {Comm. Math. Phys.}, year = {2012}, volume = {309}, number = {2}, pages = {313--339}, url = {https://doi.org/10.1007/s00220-011-1374-y}, DOI = {10.1007/s00220-011-1374-y}, author = {Giuliani, Alessandro and M{\~A}¼ller, Stefan} } @Article { MR3011500, title = {Violating the singular cardinals hypothesis without large cardinals}, journal = {Israel J. Math.}, year = {2012}, volume = {191}, number = {2}, pages = {901--922}, url = {https://doi.org/10.1007/s11856-012-0028-x}, DOI = {10.1007/s11856-012-0028-x}, author = {Gitik, Moti and Koepke, Peter} } @Book { MR2934655, title = {Mathematical physics at Saint-Flour}, year = {2012}, pages = {viii+348}, note = {Reprints of selected lectures from the Summer Schools}, publisher = {Springer, Heidelberg}, series = {Probability at Saint-Flour}, ISBN = {978-3-642-25955-5}, author = {Albeverio, Sergio and F{\~A}¶llmer, Hans and Gross, Leonard and Nelson, Edwin} } @Incollection { Bohn.Griebel:2012, title = {An adaptive sparse grid approach for time series predictions}, year = {2012}, volume = {88}, pages = {1--30}, note = {Also available as INS Preprint no 1201}, editor = {J. Garcke and M. Griebel}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse grids and Applications}, DOI = {10.1007/978-3-642-31703-3_1}, author = {Bohn, Bastian and Griebel, Michael} } @Incollection { MR3060476, title = {On shape optimization with stochastic loadings}, year = {2012}, volume = {160}, pages = {215--243}, url = {https://doi.org/10.1007/978-3-0348-0133-1_12}, publisher = {Birkh{\~A}¤user/Springer Basel AG, Basel}, series = {Internat. Ser. Numer. Math.}, booktitle = {Constrained optimization and optimal control for partial differential equations}, DOI = {10.1007/978-3-0348-0133-1_12}, author = {Atwal, Pradeep and Conti, Sergio and Geihe, Benedict and Pach, Martin and Rumpf, Martin and Schultz, R{\~A}¼diger} } @Incollection { MR3060476, title = {On shape optimization with stochastic loadings}, year = {2012}, volume = {160}, pages = {215--243}, url = {https://doi.org/10.1007/978-3-0348-0133-1_12}, publisher = {Birkh{\~A}¤user/Springer Basel AG, Basel}, series = {Internat. Ser. Numer. Math.}, booktitle = {Constrained optimization and optimal control for partial differential equations}, DOI = {10.1007/978-3-0348-0133-1_12}, author = {Atwal, Pradeep and Conti, Sergio and Geihe, Benedict and Pach, Martin and Rumpf, Martin and Schultz, R{\~A}¼diger} } @Incollection { MR2950121, title = {Safe approximation and its relation to kernelization}, year = {2012}, volume = {7112}, pages = {169--180}, url = {https://doi.org/10.1007/978-3-642-28050-4_14}, publisher = {Springer, Heidelberg}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Parameterized and exact computation}, DOI = {10.1007/978-3-642-28050-4_14}, author = {Guo, Jiong and Kanj, Iyad and Kratsch, Stefan} } @Inproceedings { 6241546, title = {Algorithms and data structures for fast and good VLSI routing}, year = {2012}, pages = {459--464}, booktitle = {Design Automation Conference (DAC), 2012 49th ACM/EDAC/IEEE}, author = {Gester, M. and Muller, D. and Nieberg, T. and Panten, C. and Schulte, C. and Vygen, J.} } @Inproceedings { ThanhBursteddeGhattasEtAl12, title = {Extreme-scale UQ for Bayesian inverse problems governed by PDEs}, year = {2012}, booktitle = {SC12: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis}, author = {Bui-Thanh, Tan and Burstedde, Carsten and Ghattas, Omar and Martin, James and Stadler, Georg and C. Wilcox, Lucas} } @Inproceedings { Garcke.Gerstner.Griebel:2012, title = {Intraday Foreign Exchange Rate Forecasting using Sparse Grids}, year = {2012}, volume = {88}, pages = {81--106}, abstract = {We present a machine learning approach using the sparsegrid combination technique for the forecasting of intradayforeign exchange rates. The aim is to learn the impact oftrading rules used by technical analysts just from theempirical behaviour of the market. To this end, the problemof analyzing a time series of transaction tick data istransformed by delay embedding into a D-dimensionalregression problem using derived measurements from severaldifferent exchange rates. Then, a grid-based approach isused to discretize the resulting high-dimensional featurespace. To cope with the curse of dimensionality we employsparse grids in the form of the combination technique.Here, the problem is discretized and solved for acollection of conventional grids. The sparse grid solutionis then obtained by linear combination of the solutions onthese grids. We give the results of this approach to FXforecasting using real historical exchange data of theEuro, the US dollar, the Japanese Yen, the Swiss Franc andthe British Pound from 2001 to 2005.}, note = {also available as INS Preprint No. 1006}, editor = {J. Garcke and M. Griebel}, series = {Lecture Notes in Computational Science and Engineering}, booktitle = {Sparse Grids and Applications}, author = {Garcke, J. and Gerstner, T. and Griebel, M.} } @Inproceedings { Isaac.Burstedde.Ghattas:2012, title = {Low-Cost Parallel Algorithms for 2:1 Octree Balance}, year = {2012}, booktitle = {Proceedings of the 26th IEEE International Parallel \& Distributed Processing Symposium}, author = {Isaac, Tobin and Burstedde, Carsten and Ghattas, Omar} } @Inproceedings { Paprotny.Garcke:2012, title = {On a Connection between Maximum Variance Unfolding, Shortest Path Problems and IsoMap}, year = {2012}, pages = {859-867}, address = {La Palma, Canary Islands, Spain}, booktitle = {15th International Conference on Artificial Intelligence and Statistics (AISTATS 2012)}, author = {Paprotny, Alexander and Garcke, Jochen} } @Inproceedings { Sundar.Biros.Burstedde.ea:2012, title = {Parallel Geometric-Algebraic Multigrid on Unstructured Forests of Octrees}, year = {2012}, booktitle = {SC12: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis}, author = {Sundar, Hari and Biros, George and Burstedde, Carsten and Rudi, Johann and Ghattas, Omar and Stadler, Georg} } @Article { MR2802011, title = {A multigrid method for constrained optimal control problems}, journal = {J. Comput. Appl. Math.}, year = {2011}, volume = {235}, number = {15}, pages = {4368--4388}, url = {https://doi.org/10.1016/j.cam.2011.04.002}, DOI = {10.1016/j.cam.2011.04.002}, author = {Engel, M. and Griebel, M.} } @Article { Griebel.Harbrecht:2011*1, title = {Approximation of two-variate functions: Singular value decomposition versus sparse grids}, year = {2011}, note = {accepted by IMA Journal of Numerical Analysis, also available as INS Preprint No. 1109}, author = {Griebel, M. and Harbrecht, H.} } @Article { MR2755085, title = {Basis theorems for continuous n-colorings}, journal = {J. Combin. Theory Ser. A}, year = {2011}, volume = {118}, number = {4}, pages = {1334--1349}, url = {https://doi.org/10.1016/j.jcta.2010.12.006}, DOI = {10.1016/j.jcta.2010.12.006}, author = {Frick, Stefanie and Geschke, Stefan} } @Article { Griebel.Hamaekers.Heber:2011, title = {BOSSANOVA - A bond order dissection approach for efficient electronic structure calculations}, journal = {Oberwolfach Report}, year = {2011}, volume = {32}, pages = {1804--1808}, DOI = {10.4171/OWR/2011/32}, author = {Griebel, M. and Hamaekers, J. and Heber, F.} } @Article { MR2834535, title = {Five-brane superpotentials, blow-up geometries and SU(3) structure manifolds}, journal = {J. High Energy Phys.}, year = {2011}, number = {5}, pages = {113, i, 82}, url = {https://doi.org/10.1007/JHEP05(2011)113}, DOI = {10.1007/JHEP05(2011)113}, author = {Grimm, Thomas W. and Klemm, Albrecht and Klevers, Denis} } @Article { MR2802460, title = {Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations}, journal = {Stochastic Process. Appl.}, year = {2011}, volume = {121}, number = {7}, pages = {1445--1463}, url = {https://doi.org/10.1016/j.spa.2011.03.004}, DOI = {10.1016/j.spa.2011.03.004}, author = {Flandoli, F. and Gubinelli, M. and Priola, E.} } @Article { KL:Geschke2011b, title = {How to drive our families mad}, journal = {Archive for Mathematical Logic}, year = {2011}, author = {Geschke, S. and Fuchino, S. and Soukup, L.} } @Article { MR2822235, title = {Kac-Moody groups and cluster algebras}, journal = {Adv. Math.}, year = {2011}, volume = {228}, number = {1}, pages = {329--433}, url = {https://doi.org/10.1016/j.aim.2011.05.011}, DOI = {10.1016/j.aim.2011.05.011}, author = {Gei{\~A}?, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { Burstedde.Wilcox.Ghattas:2011, title = {p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees}, journal = {SIAM Journal on Scientific Computing}, year = {2011}, volume = {33}, number = {3}, pages = {1103-1133}, DOI = {10.1137/100791634}, author = {Burstedde, Carsten and C. Wilcox, Lucas and Ghattas, Omar} } @Article { MR3079111, title = {Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver}, journal = {Comput. Vis. Sci.}, year = {2011}, volume = {14}, number = {8}, pages = {371--383}, url = {https://doi.org/10.1007/s00791-013-0188-1}, DOI = {10.1007/s00791-013-0188-1}, author = {Zaspel, Peter and Griebel, Michael} } @Article { Zaspel.Griebel:2011*2, title = {Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver}, journal = {Computing and Visualization in Science}, year = {2011}, volume = {14}, number = {8}, pages = {371-383}, keywords = {Photorealistic visualization; Computational fluid dynamics; User interface; Multi-phase flows; Water; Animation}, url = {http://dx.doi.org/10.1007/s00791-013-0188-3}, publisher = {Springer Berlin Heidelberg}, ISSN = {1432-9360}, DOI = {10.1007/s00791-013-0188-1}, author = {Zaspel, Peter and Griebel, Michael} } @Article { Stadler.Burstedde.Gurnis:2011, title = {Plattentektonik im Supercomputer}, journal = {Spektrum der Wissenschaft}, year = {2011}, note = {Invited article}, author = {Stadler, Georg and Burstedde, Carsten and Gurnis, Michael} } @Article { Abeler2011d, title = {Reference Points and Effort Provision}, journal = {Am. Econ. Rev.}, year = {2011}, volume = {101}, number = {2}, pages = {470--492}, abstract = {A key open question for theories of reference-dependent preferences is: what determines the reference point? One candidate is expectations: what people expect could affect how they feel about what actually occurs. In a real-effort experiment, we manipulate the rational expectations of subjects and check whether this manipulation influences their effort provision. We find that effort provision is significantly different between treatments in the way predicted by models of expectation-based, reference-dependent preferences: if expectations are high, subjects work longer and earn more money than if expectations are low.}, keywords = {D12,D84,J22}, url = {http://www.ingentaconnect.com/content/aea/aer/2011/00000101/00000002/art00002 http://pubs.aeaweb.org/doi/abs/10.1257/aer.101.2.470}, ISSN = {0002-8282}, DOI = {10.1257/aer.101.2.470}, author = {Abeler, Johannes and Falk, Armin and Goette, Lorenz and Huffman, David} } @Article { MR2945113, title = {Revenue maximization in the dynamic knapsack problem}, journal = {Theor. Econ.}, year = {2011}, volume = {6}, number = {2}, pages = {157--184}, url = {https://doi.org/10.3982/TE700}, DOI = {10.3982/TE700}, author = {Dizdar, Deniz and Gershkov, Alex and Moldovanu, Benny} } @Article { MR2771667, title = {Singular kernels, multiscale decomposition of microstructure, and dislocation models}, journal = {Arch. Ration. Mech. Anal.}, year = {2011}, volume = {199}, number = {3}, pages = {779--819}, url = {https://doi.org/10.1007/s00205-010-0333-7}, DOI = {10.1007/s00205-010-0333-7}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR2771667, title = {Singular kernels, multiscale decomposition of microstructure, and dislocation models}, journal = {Arch. Ration. Mech. Anal.}, year = {2011}, volume = {199}, number = {3}, pages = {779--819}, url = {https://doi.org/10.1007/s00205-010-0333-7}, DOI = {10.1007/s00205-010-0333-7}, author = {Conti, Sergio and Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR2844796, title = {Symmetrized induced Ramsey theory}, journal = {Graphs Combin.}, year = {2011}, volume = {27}, number = {6}, pages = {851--864}, url = {https://doi.org/10.1007/s00373-010-1006-x}, DOI = {10.1007/s00373-010-1006-x}, author = {Geschke, Stefan and Kojman, Menachem} } @Article { Dolado.Griebel.Hamaekers.ea:2011, title = {The Nano-branched Structure of Cementitious Calcium-Silicate-Hydrate Gel}, journal = {Journal of Materials Chemistry}, year = {2011}, volume = {21}, pages = {4445--4449}, DOI = {10.1039/C0JM04185H}, author = {S. Dolado, J. and Griebel, M. and Hamaekers, J. and Heber, F.} } @Article { MR2783203, title = {Uncoordinated two-sided matching markets}, journal = {SIAM J. Comput.}, year = {2011}, volume = {40}, number = {1}, pages = {92--106}, url = {https://doi.org/10.1137/090753498}, DOI = {10.1137/090753498}, author = {Ackermann, Heiner and Goldberg, Paul W. and Mirrokni, Vahab S. and R{\~A}¶glin, Heiko and V{\~A}¶cking, Berthold} } @Article { MR2779703, title = {Weak Borel chromatic numbers}, journal = {MLQ Math. Log. Q.}, year = {2011}, volume = {57}, number = {1}, pages = {5--13}, url = {https://doi.org/10.1002/malq.201010001}, DOI = {10.1002/malq.201010001}, author = {Geschke, Stefan} } @Incollection { MR2790306, title = {Abstract integration, combinatorics of trees and differential equations}, year = {2011}, volume = {539}, pages = {135--151}, url = {https://doi.org/10.1090/conm/539/10632}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Combinatorics and physics}, DOI = {10.1090/conm/539/10632}, author = {Gubinelli, Massimiliano} } @Incollection { MR2777752, title = {The coinitialities of Efimov spaces}, year = {2011}, volume = {533}, pages = {259--265}, url = {https://doi.org/10.1090/conm/533/10511}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Set theory and its applications}, DOI = {10.1090/conm/533/10511}, author = {Geschke, Stefan} } @Inproceedings { Zaspel.Griebel:2011*1, title = {Massively Parallel Fluid Simulations on Amazon's HPC Cloud}, year = {2011}, pages = {73 -78}, abstract = {In this paper, we report on the results of numericalexperiments in the field of computational fluid dynamics(CFD) on Amazon's HPC cloud. To this end, we benchmarkedour MPI-parallel fluid solver NaSt3DGPF on several HPCcompute nodes of the cloud system. Our solver can use CPUsand GPUs to calculate the simulation results. With apre-requested number of instances we observe for both, CPUsand GPUs, good scalability even for a larger number ofparallel processes, provided that the GPUs run in thenon-ECC mode. Furthermore, we see a high potential formedium sized parallel compute problems which are typicallypresent in industrial engineering applications.}, booktitle = {Network Cloud Computing and Applications (NCCA), 2011 First International Symposium on}, DOI = {10.1109/NCCA.2011.19}, author = {Zaspel, Peter and Griebel, Michael} } @Unpublished { Garcke.Gerstner.Griebel:2011, title = {Intraday Foreign Exchange Rate Forecasting using Sparse Grids}, year = {2011}, note = {submitted to Journal of Scientific Computing, also available as INS Preprint No. 1006}, author = {Garcke, J. and Gerstner, T. and Griebel, M.} } @Unpublished { Garcke.Gerstner.Griebel:2011, title = {Intraday Foreign Exchange Rate Forecasting using Sparse Grids}, year = {2011}, note = {submitted to Journal of Scientific Computing, also available as INS Preprint No. 1006}, author = {Garcke, J. and Gerstner, T. and Griebel, M.} } @Article { MR2595057, title = {A finite element method for density estimation with Gaussian process priors}, journal = {SIAM J. Numer. Anal.}, year = {2010}, volume = {47}, number = {6}, pages = {4759--4792}, url = {https://doi.org/10.1137/080736478}, DOI = {10.1137/080736478}, author = {Griebel, Michael and Hegland, Markus} } @Article { Wilcox.Stadler.Burstedde.ea:2010, title = {A High-Order Discontinuous Galerkin Method for Wave Propagation through Coupled Elastic-Acoustic Media}, journal = {Journal of Computational Physics}, year = {2010}, volume = {229}, number = {24}, pages = {9373-9396}, author = {Wilcox, Lucas C. and Stadler, Georg and Burstedde, Carsten and Ghattas, Omar} } @Article { Griebel.Zaspel:2010, title = {A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations}, journal = {Computer Science - Research and Development}, year = {2010}, volume = {25}, number = {1--2}, pages = {65--73}, DOI = {10.1007/s00450-010-0111-7}, author = {Griebel, M. and Zaspel, P.} } @Article { MR2646987, title = {An upper bound for the cellularity of the phase space of a minimal dynamical system}, journal = {Topology Proc.}, year = {2010}, volume = {36}, pages = {393--398}, author = {Geschke, Stefan} } @Article { MR2673107, title = {Computing brane and flux superpotentials in F-theory compactifications}, journal = {J. High Energy Phys.}, year = {2010}, number = {4}, pages = {015, 65}, url = {https://doi.org/10.1007/JHEP04(2010)015}, DOI = {10.1007/JHEP04(2010)015}, author = {Grimm, Thomas W. and Ha, Tae-Won and Klemm, Albrecht and Klevers, Denis} } @Article { MR2744805, title = {Corrigendum to {\^a}??Non-periodic finite-element formulation of orbital-free density functional theory{\^a}?? [Journal of the Mechanics and Physics of Solids 55 (2007) 669--696] [MR2318929]}, journal = {J. Mech. Phys. Solids}, year = {2010}, volume = {58}, number = {11}, pages = {1834}, url = {https://doi.org/10.1016/j.jmps.2010.08.003}, DOI = {10.1016/j.jmps.2010.08.003}, author = {Gavini, Vikram and Knap, Jaroslaw and Bhattacharya, Kaushik and Ortiz, Michael} } @Article { MR2719643, title = {Dimension-wise integration of high-dimensional functions with applications to finance}, journal = {J. Complexity}, year = {2010}, volume = {26}, number = {5}, pages = {455--489}, url = {https://doi.org/10.1016/j.jco.2010.06.001}, DOI = {10.1016/j.jco.2010.06.001}, author = {Griebel, Michael and Holtz, Markus} } @Article { MR2577383, title = {Efficient sequential assignment with incomplete information}, journal = {Games Econom. Behav.}, year = {2010}, volume = {68}, number = {1}, pages = {144--154}, url = {https://doi.org/10.1016/j.geb.2009.06.005}, DOI = {10.1016/j.geb.2009.06.005}, author = {Gershkov, Alex and Moldovanu, Benny} } @Article { MR2640682, title = {Energy-stepping integrators in Lagrangian mechanics}, journal = {Internat. J. Numer. Methods Engrg.}, year = {2010}, volume = {82}, number = {2}, pages = {205--241}, url = {https://doi.org/10.1002/nme.2753}, DOI = {10.1002/nme.2753}, author = {Gonzalez, M. and Schmidt, B. and Ortiz, M.} } @Article { RN93, title = {Energy-stepping integrators in Lagrangian mechanics}, journal = {International Journal for Numerical Methods in Engineering}, year = {2010}, volume = {82}, number = {2}, pages = {205-241}, url = {://WOS:000276818900004}, type = {Journal Article}, ISSN = {0029-5981}, DOI = {10.1002/nme.2753}, author = {Gonzalez, M. and Schmidt, B. and Ortiz, M.} } @Article { Steffens.Becker.Sander.ea:2009, title = {Feasible and successful: Genome-wide Interaction Analysis (GWIA) involving all 1.9x10\(^{11 pair-wise interaction tests}\)}, journal = {Human Heredity}, year = {2010}, volume = {69}, pages = {268--284}, author = {Steffens, M. and Becker, T. and Sander, T. and Fimmers, R. and Herold, C. and Holler, D. and Leu, C. and Herms, S. and Cichon, S. and Bohn, B. and Gerstner, T. and Griebel, M. and N{\~A}¶then, M. and Wienker, T. and Baur, M.} } @Article { MR2661817, title = {Five-brane superpotentials and heterotic/F-theory duality}, journal = {Nuclear Phys. B}, year = {2010}, volume = {838}, number = {3}, pages = {458--491}, url = {https://doi.org/10.1016/j.nuclphysb.2010.06.011}, DOI = {10.1016/j.nuclphysb.2010.06.011}, author = {Grimm, Thomas W. and Ha, Tae-Won and Klemm, Albrecht and Klevers, Denis} } @Article { MR2651899, title = {Flow of diffeomorphisms for SDEs with unbounded H{\~A}¶lder continuous drift}, journal = {Bull. Sci. Math.}, year = {2010}, volume = {134}, number = {4}, pages = {405--422}, url = {https://doi.org/10.1016/j.bulsci.2010.02.003}, DOI = {10.1016/j.bulsci.2010.02.003}, author = {Flandoli, F. and Gubinelli, M. and Priola, E.} } @Article { MR2778001, title = {Force-stepping integrators in Lagrangian mechanics}, journal = {Internat. J. Numer. Methods Engrg.}, year = {2010}, volume = {84}, number = {12}, pages = {1407--1450}, url = {https://doi.org/10.1002/nme.2942}, DOI = {10.1002/nme.2942}, author = {Gonzalez, M. and Schmidt, B. and Ortiz, M.} } @Article { RN82, title = {Force-stepping integrators in Lagrangian mechanics}, journal = {International Journal for Numerical Methods in Engineering}, year = {2010}, volume = {84}, number = {12}, pages = {1407-1450}, url = {://WOS:000285261100001}, type = {Journal Article}, ISSN = {0029-5981}, DOI = {10.1002/nme.2942}, author = {Gonzalez, M. and Schmidt, B. and Ortiz, M.} } @Article { Griebel.Klitz:2009, title = {Homogenisation and Numerical Simulation of Flow in Geometries with Textile Microstructures}, journal = {SIAM MMS}, year = {2010}, volume = {8}, number = {4}, note = {Also available as SFB611 preprint no 404 / 2008}, DOI = {10.1137/09077059X}, author = {Griebel, M. and Klitz, M.} } @Article { MR2718267, title = {Homogenization and numerical simulation of flow in geometries with textile microstructures}, journal = {Multiscale Model. Simul.}, year = {2010}, volume = {8}, number = {4}, pages = {1439--1460}, url = {https://doi.org/10.1137/09077059X}, DOI = {10.1137/09077059X}, author = {Griebel, M. and Klitz, M.} } @Article { MR2888866, title = {Informational smallness and the scope for limiting information rents}, journal = {J. Econom. Theory}, year = {2010}, volume = {145}, number = {6}, pages = {2260--2281}, url = {https://doi.org/10.1016/j.jet.2010.07.007}, DOI = {10.1016/j.jet.2010.07.007}, author = {Gizatulina, Alia and Hellwig, Martin} } @Article { MR2641772, title = {Large scale behavior of semiflexible heteropolymers}, journal = {Ann. Inst. Henri Poincar{\~A}© Probab. Stat.}, year = {2010}, volume = {46}, number = {1}, pages = {97--118}, url = {https://doi.org/10.1214/08-AIHP310}, DOI = {10.1214/08-AIHP310}, author = {Caravenna, Francesco and Giacomin, Giambattista and Gubinelli, Massimiliano} } @Article { MR2649224, title = {Non-periodic finite-element formulation of Kohn-Sham density functional theory}, journal = {J. Mech. Phys. Solids}, year = {2010}, volume = {58}, number = {2}, pages = {256--280}, url = {https://doi.org/10.1016/j.jmps.2009.10.002}, DOI = {10.1016/j.jmps.2009.10.002}, author = {Suryanarayana, Phanish and Gavini, Vikram and Blesgen, Thomas and Bhattacharya, Kaushik and Ortiz, Michael} } @Article { RN96, title = {Non-periodic finite-element formulation of Kohn-Sham density functional theory}, journal = {Journal of the Mechanics and Physics of Solids}, year = {2010}, volume = {58}, number = {2}, pages = {256-280}, url = {://WOS:000274551200012}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {10.1016/j.jmps.2009.10.002}, author = {Suryanarayana, P. and Gavini, V. and Blesgen, T. and Bhattacharya, K. and Ortiz, M.} } @Article { RN84, title = {Non-periodic finite-element formulation of orbital-free density functional theory (vol 55, pg 669, 2007)}, journal = {Journal of the Mechanics and Physics of Solids}, year = {2010}, volume = {58}, number = {11}, pages = {1834-1834}, url = {://WOS:000283901400005}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {10.1016/j.jmps.2010.08.003}, author = {Gavini, V. and Knap, J. and Bhattacharya, K. and Ortiz, M.} } @Article { MR2643198, title = {Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensions}, journal = {Internat. J. Numer. Methods Fluids}, year = {2010}, volume = {62}, number = {9}, pages = {963--993}, url = {https://doi.org/10.1002/fld.2051}, DOI = {10.1002/fld.2051}, author = {Croce, Roberto and Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR2643198, title = {Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensions}, journal = {Internat. J. Numer. Methods Fluids}, year = {2010}, volume = {62}, number = {9}, pages = {963--993}, url = {https://doi.org/10.1002/fld.2051}, DOI = {10.1002/fld.2051}, author = {Croce, Roberto and Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR2870191, title = {On the numerical solution of the chemical master equation with sums of rank one tensors}, journal = {ANZIAM J. Electron. Suppl.}, year = {2010}, volume = {52}, number = {(C)}, pages = {C628--C643}, author = {Hegland, Markus and Garcke, Jochen} } @Article { MR2608554, title = {Point perturbations in constant curvature spaces}, journal = {Internat. J. Theoret. Phys.}, year = {2010}, volume = {49}, number = {4}, pages = {728--758}, url = {https://doi.org/10.1007/s10773-010-0252-2}, DOI = {10.1007/s10773-010-0252-2}, author = {Albeverio, Sergio and Geyler, Vladimir A. and Grishanov, Evgeniy N. and Ivanov, Dmitriy A.} } @Article { MR2646382, title = {Quantum information and entanglement}, journal = {Adv. Math. Phys.}, year = {2010}, pages = {Art. ID 657878, 3}, url = {https://doi.org/10.1155/2010/657878}, DOI = {10.1155/2010/657878}, author = {Fei, Shao-Ming and Albeverio, Sergio and Cabello, Adan and Jing, Naihuan and Goswami, Debashish} } @Article { MR2578445, title = {Ramification of rough paths}, journal = {J. Differential Equations}, year = {2010}, volume = {248}, number = {4}, pages = {693--721}, url = {https://doi.org/10.1016/j.jde.2009.11.015}, DOI = {10.1016/j.jde.2009.11.015}, author = {Gubinelli, Massimiliano} } @Article { MR2599193, title = {Rough evolution equations}, journal = {Ann. Probab.}, year = {2010}, volume = {38}, number = {1}, pages = {1--75}, url = {https://doi.org/10.1214/08-AOP437}, DOI = {10.1214/08-AOP437}, author = {Gubinelli, Massimiliano and Tindel, Samy} } @Article { RN100, title = {Shock-induced subgrain microstructures as possible homogenous sources of hot spots and initiation sites in energetic polycrystals}, journal = {Physical Review B}, year = {2010}, volume = {81}, number = {1}, url = {://WOS:000274001800031}, type = {Journal Article}, ISSN = {1098-0121}, DOI = {ARTN 01411210.1103/PhysRevB.81.014112}, author = {Rimoli, J. J. and Gurses, E. and Ortiz, M.} } @Article { Alisic.Gurnis.Stadler.ea:2010, title = {Slab Stress and Strain Rate as Constraints on Global Mantle Flow}, journal = {Geophysical Research Letters}, year = {2010}, volume = {37}, pages = {L22308}, author = {Alisic, Laura and Gurnis, Michael and Stadler, Georg and Burstedde, Carsten and C. Wilcox, Lucas and Ghattas, Omar} } @Article { Griebel.Hamaekers:2009, title = {Tensor Product Multiscale Many-Particle Spaces with Finite-Order Weights for the Electronic Schr{\~A}¶dinger Equation}, journal = {Zeitschrift f{\~A}¼r Physikalische Chemie}, year = {2010}, volume = {224}, pages = {527--543}, author = {Griebel, M. and Hamaekers, J.} } @Article { Stadler.Gurnis.Burstedde.ea:2010, title = {The Dynamics of Plate Tectonics and Mantle Flow: From Local to Global Scales}, journal = {Science}, year = {2010}, volume = {329}, number = {5995}, pages = {1033-1038}, author = {Stadler, Georg and Gurnis, Michael and Burstedde, Carsten and C. Wilcox, Lucas and Alisic, Laura and Ghattas, Omar} } @Article { MR2666764, title = {The mixing time of Glauber dynamics for coloring regular trees}, journal = {Random Structures Algorithms}, year = {2010}, volume = {36}, number = {4}, pages = {464--476}, url = {https://doi.org/10.1002/rsa.20303}, DOI = {10.1002/rsa.20303}, author = {Goldberg, Leslie Ann and Jerrum, Mark and Karpinski, Marek} } @Article { MR2719646, title = {The smoothing effect of the ANOVA decomposition}, journal = {J. Complexity}, year = {2010}, volume = {26}, number = {5}, pages = {523--551}, url = {https://doi.org/10.1016/j.jco.2010.04.003}, DOI = {10.1016/j.jco.2010.04.003}, author = {Griebel, Michael and Kuo, Frances Y. and Sloan, Ian H.} } @Article { MR2593276, title = {Well-posedness of the transport equation by stochastic perturbation}, journal = {Invent. Math.}, year = {2010}, volume = {180}, number = {1}, pages = {1--53}, url = {https://doi.org/10.1007/s00222-009-0224-4}, DOI = {10.1007/s00222-009-0224-4}, author = {Flandoli, F. and Gubinelli, M. and Priola, E.} } @Incollection { MR2985085, title = {Does noise improve well-posedness of fluid dynamic equations?}, year = {2010}, volume = {25}, pages = {139--155}, publisher = {Dept. Math., Seconda Univ. Napoli, Caserta}, series = {Quad. Mat.}, booktitle = {Stochastic partial differential equations and applications}, author = {Flandoli, Franco and Gubinelli, Massimiliano and Priola, Enrico} } @Incollection { MR2725602, title = {Factorization of a 768-bit RSA modulus}, year = {2010}, volume = {6223}, pages = {333--350}, url = {https://doi.org/10.1007/978-3-642-14623-7_18}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Advances in cryptology---CRYPTO 2010}, DOI = {10.1007/978-3-642-14623-7_18}, author = {Kleinjung, Thorsten and Aoki, Kazumaro and Franke, Jens and Lenstra, Arjen K. and Thom{\~A}©, Emmanuel and Bos, Joppe W. and Gaudry, Pierrick and Kruppa, Alexander and Montgomery, Peter L. and Osvik, Dag Arne and te Riele, Herman and Timofeev, Andrey and Zimmermann, Paul} } @Incollection { Gerstner.Griebel:2008, title = {Sparse Grids}, year = {2010}, url = {http://www.wiley.com//legacy/wileychi/eqf/index.html}, editor = {R. Cont}, publisher = {John Wiley and Sons}, booktitle = {Encyclopedia of Quantitative Finance}, author = {Gerstner, T. and Griebel, M.} } @Incollection { Griebel.Hamaekers:2010, title = {Tensor Product Multiscale Many-Particle Spaces with Finite-Order Weights for the Electronic Schr{\~A}¶dinger Equation}, year = {2010}, volume = {3}, pages = {237--253}, editor = {M. Dolg}, publisher = {Oldenbourg Wissenschaftsverlag GmbH}, address = {M{\~A}¼nchen}, series = {Progress in Physical Chemistry}, booktitle = {Modern and Universal First-principles Methods for Many-electron Systems in Chemistry and Physics}, ISBN = {978-3-486-59827-8}, author = {Griebel, M. and Hamaekers, J.} } @Inproceedings { Burstedde.Ghattas.Gurnis.ea:2010, title = {Extreme-Scale AMR}, year = {2010}, booktitle = {SC10: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis}, author = {Burstedde, Carsten and Ghattas, Omar and Gurnis, Michael and Isaac, Tobin and Stadler, Georg and Warburton, Tim and C. Wilcox, Lucas} } @Article { Griebel.Heber:2009, title = {A molecular dynamics study on fullerene--implanted carbon nanotori as electronmagnetic sensing and emitting devices}, year = {2009}, note = {INS Preprint no 0912}, author = {Griebel, M. and Heber, F.} } @Article { Griebel.Hamaekers.Heber:2007, title = {A molecular dynamics study on the impact of defects and functionalization on the Young modulus of boron-nitride nanotubes}, journal = {Computational Materials Science}, year = {2009}, volume = {45}, number = {4}, pages = {1097--1103}, author = {Griebel, M. and Hamaekers, J. and Heber, F.} } @Article { Burstedde.Ghattas:2009, title = {Algorithmic strategies for full waveform inversion: 1D experiments}, journal = {Geophysics}, year = {2009}, volume = {74}, number = {6}, pages = {WCC37-WCC46}, keywords = {seismic inversion}, author = {Burstedde, Carsten and Ghattas, Omar} } @Article { Burstedde.Burtscher.Ghattas.ea:2009, title = {ALPS: A framework for parallel adaptive PDE solution}, journal = {Journal of Physics: Conference Series}, year = {2009}, volume = {180}, pages = {012009}, booktitle = {Journal of Physics: Conference Series}, organization = {Institute of Physics Publishing}, author = {Burstedde, Carsten and Burtscher, Martin and Ghattas, Omar and Stadler, Georg and Tu, Tiankai and Wilcox, Lucas C.} } @Article { MR2519087, title = {Efficient deterministic numerical simulation of stochastic asset-liability management models in life insurance}, journal = {Insurance Math. Econom.}, year = {2009}, volume = {44}, number = {3}, pages = {434--446}, url = {https://doi.org/10.1016/j.insmatheco.2008.12.003}, DOI = {10.1016/j.insmatheco.2008.12.003}, author = {Gerstner, Thomas and Griebel, Michael and Holtz, Markus} } @Article { MR2551896, title = {Exact results for perturbative Chern-Simons theory with complex gauge group}, journal = {Commun. Number Theory Phys.}, year = {2009}, volume = {3}, number = {2}, pages = {363--443}, url = {https://doi.org/10.4310/CNTP.2009.v3.n2.a4}, DOI = {10.4310/CNTP.2009.v3.n2.a4}, author = {Dimofte, Tudor and Gukov, Sergei and Lenells, Jonatan and Zagier, Don} } @Article { MR2491820, title = {Fitting multidimensional data using gradient penalties and the sparse grid combination technique}, journal = {Computing}, year = {2009}, volume = {84}, number = {1-2}, pages = {1--25}, url = {https://doi.org/10.1007/s00607-009-0027-x}, DOI = {10.1007/s00607-009-0027-x}, author = {Garcke, Jochen and Hegland, Markus} } @Article { MR2460265, title = {Gibbs measures on Brownian currents}, journal = {Comm. Pure Appl. Math.}, year = {2009}, volume = {62}, number = {1}, pages = {1--56}, url = {https://doi.org/10.1002/cpa.20260}, DOI = {10.1002/cpa.20260}, author = {Gubinelli, Massimiliano and L{\~A}¶rinczi, J{\~A}³zsef} } @Article { MR2485861, title = {J-self-adjoint operators with C-symmetries: an extension theory approach}, journal = {J. Phys. A}, year = {2009}, volume = {42}, number = {10}, pages = {105205, 22}, url = {https://doi.org/10.1088/1751-8113/42/10/105205}, DOI = {10.1088/1751-8113/42/10/105205}, author = {Albeverio, S. and G{\~A}¼nther, U. and Kuzhel, S.} } @Article { gershkov2009learning, title = {Learning About The Future and Dynamic Efficiency}, journal = {Am. Econ. Rev.}, year = {2009}, volume = {99}, number = {4}, pages = {1576--1588}, publisher = {American Economic Association}, author = {Gershkov, Alex and Moldovanu, Benny} } @Article { MR2499706, title = {Low-distortion embeddings of infinite metric spaces into the real line}, journal = {Ann. Pure Appl. Logic}, year = {2009}, volume = {157}, number = {2-3}, pages = {148--160}, url = {https://doi.org/10.1016/j.apal.2008.09.014}, DOI = {10.1016/j.apal.2008.09.014}, author = {Geschke, Stefan} } @Article { MR2491548, title = {Multivariate regression and machine learning with sums of separable functions}, journal = {SIAM J. Sci. Comput.}, year = {2009}, volume = {31}, number = {3}, pages = {1840--1857}, url = {https://doi.org/10.1137/070710524}, DOI = {10.1137/070710524}, author = {Beylkin, Gregory and Garcke, Jochen and Mohlenkamp, Martin J.} } @Article { MR2558696, title = {On a constructive proof of Kolmogorov's superposition theorem}, journal = {Constr. Approx.}, year = {2009}, volume = {30}, number = {3}, pages = {653--675}, url = {https://doi.org/10.1007/s00365-009-9054-2}, DOI = {10.1007/s00365-009-9054-2}, author = {Braun, J{\~A}¼rgen and Griebel, Michael} } @Article { MR2521413, title = {On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model}, journal = {Ann. Inst. Henri Poincar{\~A}© Probab. Stat.}, year = {2009}, volume = {45}, number = {2}, pages = {545--576}, url = {https://doi.org/10.1214/08-AIHP174}, DOI = {10.1214/08-AIHP174}, author = {Flandoli, Franco and Gubinelli, Massimiliano and Russo, Francesco} } @Article { MR2521287, title = {Optimized general sparse grid approximation spaces for operator equations}, journal = {Math. Comp.}, year = {2009}, volume = {78}, number = {268}, pages = {2223--2257}, url = {https://doi.org/10.1090/S0025-5718-09-02248-0}, DOI = {10.1090/S0025-5718-09-02248-0}, author = {Griebel, M. and Knapek, S.} } @Article { Burstedde.Ghattas.Stadler.ea:2009, title = {Parallel scalable adjoint-based adaptive solution for variable-viscosity Stokes flows}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2009}, volume = {198}, pages = {1691-1700}, author = {Burstedde, Carsten and Ghattas, Omar and Stadler, Georg and Tu, Tiankai and Wilcox, Lucas C.} } @Article { MR2511187, title = {Preface [Cherednik algebras]}, journal = {Selecta Math. (N.S.)}, year = {2009}, volume = {14}, number = {3-4}, pages = {323}, url = {https://doi.org/10.1007/s00029-009-0510-4}, DOI = {10.1007/s00029-009-0510-4}, author = {Baur, Karin and Ginzburg, Victor and Gordon, Iain and Parker, Alison and Stroppel, Catharina} } @Article { MR2529609, title = {Principal manifold learning by sparse grids}, journal = {Computing}, year = {2009}, volume = {85}, number = {4}, pages = {267--299}, url = {https://doi.org/10.1007/s00607-009-0045-8}, DOI = {10.1007/s00607-009-0045-8}, author = {Feuers{\~A}¤nger, Christian and Griebel, Michael} } @Article { MR2524502, title = {The D5-brane effective action and superpotential in N=1 compactifications}, journal = {Nuclear Phys. B}, year = {2009}, volume = {816}, number = {1-2}, pages = {139--184}, url = {https://doi.org/10.1016/j.nuclphysb.2009.03.008}, DOI = {10.1016/j.nuclphysb.2009.03.008}, author = {Grimm, Thomas W. and Ha, Tae-Won and Klemm, Albrecht and Klevers, Denis} } @Article { Tromel.Simmer.Braun.ea:2008, title = {Towards the use of Integral Radar Volume Descriptors for quantitative areal precipitation estimation - results from pseudo-radar observations}, journal = {Journal of Atmospheric and Oceanic Technology}, year = {2009}, volume = {26}, number = {9}, pages = {1798-1813}, url = {http://journals.ametsoc.org/doi/abs/10.1175/2009JTECHA1203.1}, DOI = {10.1175/2009JTECHA1203.1}, author = {Tr{\~A}¶mel, S. and Simmer, C. and Braun, J. and Gerstner, T. and Griebel, M.} } @Incollection { Garcke.Griebel.Thess:2008, title = {Data-Mining f{\~A}¼r die Angebotsoptimierung im Handel}, year = {2009}, pages = {111--123}, note = {We also offer an english translation, see `Data Mining for the category management in the retail market'}, editor = {M. Gr{\~A}¶tschel and K. Lucas and V. Mehrmann}, publisher = {acatech, Springer}, address = {Berlin, Heidelberg}, booktitle = {Produktionsfaktor Mathematik}, ISBN = {978-3-540-89434-6}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Incollection { Garcke.Griebel.Thess:2008, title = {Data-Mining f{\~A}¼r die Angebotsoptimierung im Handel}, year = {2009}, pages = {111--123}, note = {We also offer an english translation, see `Data Mining for the category management in the retail market'}, editor = {M. Gr{\~A}¶tschel and K. Lucas and V. Mehrmann}, publisher = {acatech, Springer}, address = {Berlin, Heidelberg}, booktitle = {Produktionsfaktor Mathematik}, ISBN = {978-3-540-89434-6}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Proceedings { Klitz.Griebel.Verleye.ea:2009, title = {Homogenisation and Numerical Simulation of Flow Problems in Geometries with Textile Microstructures}, year = {2009}, organization = {Mathematisches Forschungsinstitut Oberwolfach}, DOI = {10.4171/OWR/2009/12}, author = {Klitz, Margrit and Griebel, Michael and Verleye, Bart and Roose, Dirk and Vladimirovitch Lomov, Stepan} } @Inproceedings { Karp:GKN09, title = {Low-Memory Adaptive Prefix Coding}, year = {2009}, pages = {13--22}, publisher = {IEEE Computer Society}, booktitle = {Proceeding of the 19th Data Compression Conference (DCC)}, DOI = {10.1109/DCC.2009.61}, author = {Gagie, Travis and Karpinski, Marek and Nekrich, Yakov} } @Techreport { Garcke.Griebel.Thess:2009, title = {Data Mining for the category management in the retail market}, year = {2009}, note = {This is the english version of the German scholarly book `Garcke, Griebel, Thess: Data-Mining f{\~A}¼r die Angebotsoptimierung im Handel, 2009'}, institution = {Institut f{\~A}¼r Numerische Simulation, Rheinische Friedrich-Wilhelms-Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Techreport { Garcke.Griebel.Thess:2009, title = {Data Mining for the category management in the retail market}, year = {2009}, note = {This is the english version of the German scholarly book `Garcke, Griebel, Thess: Data-Mining f{\~A}¼r die Angebotsoptimierung im Handel, 2009'}, institution = {Institut f{\~A}¼r Numerische Simulation, Rheinische Friedrich-Wilhelms-Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Article { Gerstner.Griebel.Holtz.ea:2006, title = {A General Asset-Liability Management Model for the Efficient Simulation of Portfolios of Life Insurance Policies}, journal = {Insurance: Math. Economics}, year = {2008}, volume = {42}, number = {2}, pages = {704-716}, abstract = {New regulations and a stronger competition have increasedthe importance of stochastic asset-liability managementmodels for insurance companies in recent years. In thispaper, we propose a discrete time asset-liabilitymanagement model for the simulation of simplified balancesheets of life insurance products. The model incorporatesthe most important life insurance product characteristics,the surrender of contracts, a reserve-dependent surplusdeclaration, a dynamic asset allocation and a two-factorstochastic capital market. All arising terms in the modelcan be calculated recursively which allows an easyimplementation and efficient simulation. Furthermore, themodel is designed to have a modular organisation whichpermits straightforward modifications and extensions tohandle specific requirements. In a sensitivity analysis forexample portfolios and parameters we investigate the impactof the most important product and management parameters onthe risk exposure of the insurance company and show thatthe model captures the main behaviour patterns of thebalance sheet development of life insurance products.}, author = {Gerstner, T. and Griebel, M. and Holtz, M. and Goschnick, R. and Haep, M.} } @Article { Manzano.Dolado.Griebel.Hamaekers:2007, title = {A molecular dynamics study of the aluminosilicate chains structure in Al-rich calcium silicate hydrated (C-S-H) gels}, journal = {physica status solidi (a) - applications and materials science}, year = {2008}, volume = {205}, number = {6}, pages = {1324--1329}, note = {Also as INS Preprint No. 0707}, url = {http://www3.interscience.wiley.com/journal/119052819/abstract?CRETRY=1\&SRETRY=0}, DOI = {10.1002/pssa.200778175}, author = {Manzano, H. and Dolado, J. and Griebel, M. and Hamaekers, J.} } @Article { MR2604971, title = {A unified approach to congestion games and two-sided markets}, journal = {Internet Math.}, year = {2008}, volume = {5}, number = {4}, pages = {439--457 (2009)}, url = {http://projecteuclid.org/euclid.im/1265033174}, author = {Ackermann, Heiner and Goldberg, Paul W. and Mirrokni, Vahab S. and R{\~A}¶glin, Heiko and V{\~A}¶cking, Berthold} } @Article { MR2461602, title = {Atoms of all channels, unite! Average case analysis of multi-channel sparse recovery using greedy algorithms}, journal = {J. Fourier Anal. Appl.}, year = {2008}, volume = {14}, number = {5-6}, pages = {655--687}, url = {https://doi.org/10.1007/s00041-008-9044-y}, DOI = {10.1007/s00041-008-9044-y}, author = {Gribonval, R{\~A}©mi and Rauhut, Holger and Schnass, Karin and Vandergheynst, Pierre} } @Article { MR2379091, title = {Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions}, journal = {J. Algebra}, year = {2008}, volume = {319}, number = {3}, pages = {1007--1034}, url = {https://doi.org/10.1016/j.jalgebra.2007.10.026}, DOI = {10.1016/j.jalgebra.2007.10.026}, author = {Brown, K. A. and Gordon, I. G. and Stroppel, C. H.} } @Article { MR2458263, title = {Functions for which all points are local extrema}, journal = {Real Anal. Exchange}, year = {2008}, volume = {33}, number = {2}, pages = {467--470}, url = {http://projecteuclid.org/euclid.rae/1229619424}, author = {Behrends, Ehrhard and Geschke, Stefan and Natkaniec, Tomasz} } @Article { Kaenders27-2008, title = {Neugierig auf Mathematik: Wiskunde B-dag}, journal = {Beitr{\~A}¤ge zum Mathematikunterricht, GDM Tagung E{\~A}¶tv{\~A}¶s Lor{\~A}¡nd Universit{\~A}¤t, Martin Stein Verlag, M{\~A}¼nster}, year = {2008}, editor = {Eva V{\~A} s{\~A} rhelyi}, author = {Goris, Tom and Kaenders, Rainer} } @Article { MR2427512, title = {Partial flag varieties and preprojective algebras}, journal = {Ann. Inst. Fourier (Grenoble)}, year = {2008}, volume = {58}, number = {3}, pages = {825--876}, url = {http://aif.cedram.org/item?id=AIF_2008__58_3_825_0}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2434735, title = {Potential continuity of colorings}, journal = {Arch. Math. Logic}, year = {2008}, volume = {47}, number = {6}, pages = {567--578}, url = {https://doi.org/10.1007/s00153-008-0097-z}, DOI = {10.1007/s00153-008-0097-z}, author = {Geschke, Stefan} } @Article { MR2367196, title = {Rigorous remarks about scaling laws in turbulent fluids}, journal = {Comm. Math. Phys.}, year = {2008}, volume = {278}, number = {1}, pages = {1--29}, url = {https://doi.org/10.1007/s00220-007-0398-9}, DOI = {10.1007/s00220-007-0398-9}, author = {Flandoli, F. and Gubinelli, M. and Hairer, M. and Romito, M.} } @Article { Griebel.Jager:2008, title = {The BGY3dM model for the approximation of solvent densities}, journal = {J. Chem. Phys.}, year = {2008}, volume = {129}, number = {17}, abstract = {We present a new approach for the approximation of solventdensities around solutes of arbitrary shape. Our modelrepresents a three-dimensional 3d Born Green Yvon BGYequation for an arbitrary solute immersed into a molecularM solvent, the BGY3dM model. It comprises the famousKirkwood approximation as closure relation. The moleculesof the solvent are modeled as rigid bodies by taking thelimit of an infinite restoring force for the intramolecularinteractions. Furthermore, short-range potentials as wellas the long-range Coulomb interaction are taken intoaccount. The resulting integro-differential equations areefficiently solved by a Picard iteration and a solution ofthe linearized equations using Fourier transformations. Wecompare the results obtained from the presented BGY3dMmethod with results obtained by extensive moleculardynamics simulations for a HCl-like model solvent.Furthermore, we apply the method to carbon disulfide assolvent. The overall performance of the method ispromising.}, note = {Copyright 2008 American Institute of Physics. This articlemay be downloaded for personal use only. Any other userequires prior permission of the author and the AmericanInstitute of Physics. A preprint is also available as SFB611 Preprint No. 403}, url = {http://link.aip.org/link/?JCP/129/174511}, DOI = {10.1063/1.2991296}, author = {Griebel, M. and Jager, L.} } @Article { MR2387936, title = {The number of openly generated Boolean algebras}, journal = {J. Symbolic Logic}, year = {2008}, volume = {73}, number = {1}, pages = {151--164}, url = {https://doi.org/10.2178/jsl/1208358746}, DOI = {10.2178/jsl/1208358746}, author = {Geschke, Stefan and Shelah, Saharon} } @Article { MR2452968, title = {U(1) mediation of flux supersymmetry breaking}, journal = {J. High Energy Phys.}, year = {2008}, number = {10}, pages = {077, 53}, url = {https://doi.org/10.1088/1126-6708/2008/10/077}, DOI = {10.1088/1126-6708/2008/10/077}, author = {Grimm, Thomas W. and Klemm, Albrecht} } @Incollection { MR2766697, title = {Fitting multidimensional data using gradient penalties and combination techniques}, year = {2008}, pages = {235--248}, url = {https://doi.org/10.1007/978-3-540-79409-7_15}, publisher = {Springer, Berlin}, booktitle = {Modeling, simulation and optimization of complex processes}, DOI = {10.1007/978-3-540-79409-7_15}, author = {Garcke, Jochen and Hegland, Markus} } @Incollection { MR2450757, title = {Micro structures in thin coating layers: micro structure evolution and macroscopic contact angle}, year = {2008}, pages = {75--97}, url = {https://doi.org/10.1007/978-3-540-77203-3_7}, publisher = {Springer, Berlin}, booktitle = {Mathematics---key technology for the future}, DOI = {10.1007/978-3-540-77203-3_7}, author = {Dohmen, Julia and Grunewald, Natalie and Otto, Felix and Rumpf, Martin} } @Incollection { MR2450746, title = {Numerical simulation for asset-liability management in life insurance}, year = {2008}, pages = {319--341}, url = {https://doi.org/10.1007/978-3-540-77203-3_20}, publisher = {Springer, Berlin}, booktitle = {Mathematics---key technology for the future}, DOI = {10.1007/978-3-540-77203-3_20}, author = {Gerstner, Thomas and Griebel, Michael and Holtz, Markus and Goschnick, Ralf and Haep, Marcus} } @Incollection { MR2484728, title = {Preprojective algebras and cluster algebras}, year = {2008}, pages = {253--283}, url = {https://doi.org/10.4171/062-1/6}, publisher = {Eur. Math. Soc., Z{\~A}¼rich}, series = {EMS Ser. Congr. Rep.}, booktitle = {Trends in representation theory of algebras and related topics}, DOI = {10.4171/062-1/6}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Inproceedings { Griebel.Metsch.Schweitzer:2008, title = {Coarse Grid Classification: AMG on Parallel Computers}, year = {2008}, volume = {39}, pages = {299--306}, note = {Also available as SFB 611 preprint No. 368, Universit{\~A}¤t Bonn, 2008}, editor = {Gernot M{\~A}¼nster and Dietrich Wolf and Manfred Kremer}, series = {NIC Series}, booktitle = {NIC Symposium 2008}, author = {Griebel, Michael and Metsch, Bram and Alexander Schweitzer, Marc} } @Inproceedings { Griebel.Metsch.Schweitzer:2008, title = {Coarse Grid Classification: AMG on Parallel Computers}, year = {2008}, volume = {39}, pages = {299--306}, note = {Also available as SFB 611 preprint No. 368, Universit{\~A}¤t Bonn, 2008}, editor = {Gernot M{\~A}¼nster and Dietrich Wolf and Manfred Kremer}, series = {NIC Series}, booktitle = {NIC Symposium 2008}, author = {Griebel, Michael and Metsch, Bram and Alexander Schweitzer, Marc} } @Inproceedings { Verleye.Croce.Griebel.ea:2008, title = {Permeability of textile reinforcements: simulation, influence of shear, validation}, year = {2008}, volume = {68}, number = {13}, pages = {2804-2810}, abstract = {The permeability of textile reinforcements is a crucialinput for the simulation of the impregnation stage of acomposite material fabrication process. In this paper, wepresent a fast and accurate simulation method for thepermeability of a textile reinforcement, based on a finitedifference discretisation of the Stokes equations. Resultsfor single layer, multi-layer and sheared models arediscussed. The influence of intra-yarn flow and periodic orwall boundary conditions are considered. We compare thenumerically computed permeability values with experimentaldata.}, publisher = {Elsevier Applied Science Publishers}, booktitle = {Composites science and technology}, author = {Verleye, B. and Croce, R. and Griebel, M. and Klitz, M. and Lomov, S.V. and Morren, G. and Sol, H. and Verpoest, I. and Roose, D.} } @Inproceedings { Verleye.Croce.Griebel.ea:2008*1, title = {Permeability of textile reinforcements:simulation; influence of shear, nesting and boundary conditions; validation}, year = {2008}, volume = {9}, abstract = {A fast an accurate simulation tool for the permeability oftextiles is presented, based on a finite differencediscretisation of the Stokes equations. Results for singlelayer, multi layer and sheared models are discussed. Theinfluence of intrayarn flow and periodic respectively wallboundary conditions are considered. Simulated permeabilityvalues are compared with experimental data. For thecreation of the textile model the WiseTex software is used,which implements a generalised description of internalstructure of textile reinforcements on the unit cell level.A finite difference Navier-Stokes solver, NaSt3DGP, wasdeveloped at the Institute for Numerical Simulation at theUniversity of Bonn. The flow solver employs a Chorinprojection on a staggered grid for the solution of theNavier-Stokes. In the staggered grid approach, the pressureis discretised at the centre of the cells, while thevelocities are discretised on the edges. Thisdiscretisation leads to a strong coupling between pressureand velocities, and therefore avoids the occurrence ofunphysical oscillations in the pressure. The experimentalvalidation is performed with a highly automated centralinjection rig PIERS.}, publisher = {International Conference on Flow Processes in Composite Materials edition}, address = {Qu{\~A}©bec}, booktitle = {Proceedings of the 9th International Conference on Flow Processes in Composite Materials}, author = {Verleye, B. and Croce, R. and Griebel, M. and Klitz, M. and Lomov, S.V. and Morren, G. and Sol, H. and Verpoest, I. and Roose, D.} } @Inproceedings { Burstedde.Ghattas.Gurnis.ea:2008, title = {Scalable adaptive mantle convection simulation on petascale supercomputers}, year = {2008}, booktitle = {SC08: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis}, ISBN = {978-1-4244-2835-9}, author = {Burstedde, Carsten and Ghattas, Omar and Gurnis, Michael and Tan, Eh and Tu, Tiankai and Stadler, Georg and C. Wilcox, Lucas and Zhong, Shijie} } @Inproceedings { Burstedde.Ghattas.Stadler.ea:2008, title = {Towards Adaptive Mesh PDE Simulations on Petascale Computers}, year = {2008}, note = {Winner, NSF TeraGrid Capability Computing Challenge}, booktitle = {Proceedings of Teragrid '08}, author = {Burstedde, Carsten and Ghattas, Omar and Stadler, Georg and Tu, Tiankai and C. Wilcox, Lucas} } @Techreport { Griebel.Hamaekers.Heber:2008, title = {BOSSANOVA: A bond order dissection approach for efficient electronic structure calculations}, year = {2008}, number = {0704}, institution = {Institut f{\~A}¼r Numerische Simulation, Universit{\~A}¤t Bonn}, type = {INS Preprint}, author = {Griebel, M. and Hamaekers, J. and Heber, F.} } @Techreport { Croce.Griebel.Schweitzer:2008, title = {Numerical Simulation of Droplet-Deformation by a Level Set Approach with Surface Tension}, year = {2008}, number = {395}, address = {Bonn, Germany}, institution = {Sonderforschungsbereich 611, Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Croce, R. and Griebel, M. and A. Schweitzer, M.} } @Article { Dolado.Griebel.Hamaekers:2007, title = {A Molecular Dynamics Study of Cementitious Silicate Hydrate (C-S-H) Gels}, journal = {Journal of the American Ceramic Society}, year = {2007}, volume = {90}, number = {12}, pages = {3938--3942}, note = {Also as INS Preprint No. 0701}, author = {S. Dolado, J. and Griebel, M. and Hamaekers, J.} } @Article { MR2375285, title = {A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing}, journal = {SIAM J. Appl. Math.}, year = {2007}, volume = {68}, number = {3}, pages = {599--618}, url = {https://doi.org/10.1137/060677409}, DOI = {10.1137/060677409}, author = {Preusser, T. and Droske, M. and Garbe, C. S. and Telea, A. and Rumpf, M.} } @Article { MR2369419, title = {A sparse grid space-time discretization scheme for parabolic problems}, journal = {Computing}, year = {2007}, volume = {81}, number = {1}, pages = {1--34}, url = {https://doi.org/10.1007/s00607-007-0241-3}, DOI = {10.1007/s00607-007-0241-3}, author = {Griebel, M. and Oeltz, D.} } @Article { MR2352732, title = {Auslander algebras and initial seeds for cluster algebras}, journal = {J. Lond. Math. Soc. (2)}, year = {2007}, volume = {75}, number = {3}, pages = {718--740}, url = {https://doi.org/10.1112/jlms/jdm017}, DOI = {10.1112/jlms/jdm017}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2316190, title = {Convolutions of distributions of random variables with independent binary digits}, journal = {Random Oper. Stoch. Equ.}, year = {2007}, volume = {15}, number = {1}, pages = {89--104}, url = {https://doi.org/10.1515/ROSE.2007.006}, DOI = {10.1515/ROSE.2007.006}, author = {Albeverio, S. and Goncharenko, Ya. and Pratsiovytyi, M. and Torbin, G.} } @Article { MR2342055, title = {Direct integration of the topological string}, journal = {J. High Energy Phys.}, year = {2007}, number = {8}, pages = {058, 78}, url = {https://doi.org/10.1088/1126-6708/2007/08/058}, DOI = {10.1088/1126-6708/2007/08/058}, author = {Grimm, Thomas W. and Klemm, Albrecht and Mari{\~A}±o, Marcos and Weiss, Marlene} } @Article { MR2334924, title = {Embedding point sets into plane graphs of small dilation}, journal = {Internat. J. Comput. Geom. Appl.}, year = {2007}, volume = {17}, number = {3}, pages = {201--230}, url = {https://doi.org/10.1142/S0218195907002318}, DOI = {10.1142/S0218195907002318}, author = {Ebbers-Baumann, Annette and Gr{\~A}¼ne, Ansgar and Klein, Rolf and Karpinski, Marek and Knauer, Christian and Lingas, Andrzej} } @Article { MR2292116, title = {Injective and projective T-Boolean algebras}, journal = {J. Pure Appl. Algebra}, year = {2007}, volume = {209}, number = {1}, pages = {1--36}, url = {https://doi.org/10.1016/j.jpaa.2006.05.004}, DOI = {10.1016/j.jpaa.2006.05.004}, author = {Ball, Richard N. and Geschke, Stefan and Hagler, James N.} } @Article { MR2372464, title = {L{\~A}©vy processes and their subordination in matrix Lie groups}, journal = {Bull. Sci. Math.}, year = {2007}, volume = {131}, number = {8}, pages = {738--760}, url = {https://doi.org/10.1016/j.bulsci.2006.11.004}, DOI = {10.1016/j.bulsci.2006.11.004}, author = {Albeverio, Sergio and Gordina, Maria} } @Article { MR2396220, title = {Local equivalence of rank-2 quantum mixed states}, journal = {J. Phys. A}, year = {2007}, volume = {40}, number = {36}, pages = {11113--11117}, url = {https://doi.org/10.1088/1751-8113/40/36/011}, DOI = {10.1088/1751-8113/40/36/011}, author = {Albeverio, Sergio and Fei, Shao-Ming and Goswami, Debashish} } @Article { MR2318620, title = {Metric Baumgartner theorems and universality}, journal = {Math. Res. Lett.}, year = {2007}, volume = {14}, number = {2}, pages = {215--226}, url = {https://doi.org/10.4310/MRL.2007.v14.n2.a5}, DOI = {10.4310/MRL.2007.v14.n2.a5}, author = {Geschke, Stefan and Kojman, Menachem} } @Article { Griebel.Hamaekers:2005, title = {Molecular dynamics simulations of boron-nitride nanotubes embedded in amorphous Si-B-N}, journal = {Computational Materials Science}, year = {2007}, volume = {39}, number = {3}, pages = {502--517}, note = {Also as INS Preprint No. 0501}, author = {Griebel, M. and Hamaekers, J.} } @Article { MR2318929, title = {Non-periodic finite-element formulation of orbital-free density functional theory}, journal = {J. Mech. Phys. Solids}, year = {2007}, volume = {55}, number = {4}, pages = {669--696}, url = {https://doi.org/10.1016/j.jmps.2006.09.011}, DOI = {10.1016/j.jmps.2006.09.011}, author = {Gavini, Vikram and Knap, Jaroslaw and Bhattacharya, Kaushik and Ortiz, Michael} } @Article { RN133, title = {Non-periodic finite-element formulation of orbital-free density functional theory}, journal = {Journal of the Mechanics and Physics of Solids}, year = {2007}, volume = {55}, number = {4}, pages = {669-696}, url = {://WOS:000246501200001}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {10.1016/j.jmps.2006.09.011}, author = {Gavini, V. and Knap, J. and Bhattacharya, K. and Ortiz, M.} } @Article { MR2276358, title = {On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows}, journal = {Comm. Math. Phys.}, year = {2007}, volume = {269}, number = {3}, pages = {693--713}, url = {https://doi.org/10.1007/s00220-006-0142-x}, DOI = {10.1007/s00220-006-0142-x}, author = {Berselli, Luigi C. and Gubinelli, Massimiliano} } @Article { MR2318930, title = {Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation}, journal = {J. Mech. Phys. Solids}, year = {2007}, volume = {55}, number = {4}, pages = {697--718}, url = {https://doi.org/10.1016/j.jmps.2007.01.012}, DOI = {10.1016/j.jmps.2007.01.012}, author = {Gavini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael} } @Article { RN132, title = {Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation}, journal = {Journal of the Mechanics and Physics of Solids}, year = {2007}, volume = {55}, number = {4}, pages = {697-718}, url = {://WOS:000246501200002}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {10.1016/j.jmps.2007.01.012}, author = {Gavini, V. and Bhattacharya, K. and Ortiz, M.} } @Article { MR2287910, title = {Rayleigh scattering at atoms with dynamical nuclei}, journal = {Comm. Math. Phys.}, year = {2007}, volume = {271}, number = {2}, pages = {387--430}, url = {https://doi.org/10.1007/s00220-006-0134-x}, DOI = {10.1007/s00220-006-0134-x}, author = {Fr{\~A}¶hlich, J. and Griesemer, M. and Schlein, B.} } @Article { Kaenders25-2007, title = {Rijk aan betekenis - Visie op vernieuwd Wiskundeonderwijs}, journal = {Commissie Toekomst Wiskunde Onderwijs, cTWO}, year = {2007}, author = {van Asselt, R. and Beukers, F. and Blankespoor, J. and Broer, H. and Drijvers, P. and Garst, S. and van den Giessen, C. and Kaenders, R. and Kleijne, W. and Kollenveld, M. and Peletier, M. and Siersma, D. and van Streun, A. and Zaal, C.} } @Article { MR2299769, title = {Robust norm equivalencies for diffusion problems}, journal = {Math. Comp.}, year = {2007}, volume = {76}, number = {259}, pages = {1141--1161}, url = {https://doi.org/10.1090/S0025-5718-07-01973-4}, DOI = {10.1090/S0025-5718-07-01973-4}, author = {Griebel, Michael and Scherer, Karl and Schweitzer, Alexander} } @Article { MR2299769, title = {Robust norm equivalencies for diffusion problems}, journal = {Math. Comp.}, year = {2007}, volume = {76}, number = {259}, pages = {1141--1161}, url = {https://doi.org/10.1090/S0025-5718-07-01973-4}, DOI = {10.1090/S0025-5718-07-01973-4}, author = {Griebel, Michael and Scherer, Karl and Schweitzer, Alexander} } @Article { MR2360317, title = {Semicanonical bases and preprojective algebras. II. A multiplication formula}, journal = {Compos. Math.}, year = {2007}, volume = {143}, number = {5}, pages = {1313--1334}, url = {https://doi.org/10.1112/S0010437X07002977}, DOI = {10.1112/S0010437X07002977}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2339626, title = {Sparse grids for the Schr{\~A}¶dinger equation}, journal = {M2AN Math. Model. Numer. Anal.}, year = {2007}, volume = {41}, number = {2}, pages = {215--247}, url = {https://doi.org/10.1051/m2an:2007015}, DOI = {10.1051/m2an:2007015}, author = {Griebel, Michael and Hamaekers, Jan} } @Article { MR2278207, title = {The combination technique and some generalisations}, journal = {Linear Algebra Appl.}, year = {2007}, volume = {420}, number = {2-3}, pages = {249--275}, url = {https://doi.org/10.1016/j.laa.2006.07.014}, DOI = {10.1016/j.laa.2006.07.014}, author = {Hegland, Markus and Garcke, Jochen and Challis, Vivien} } @Article { RN127, title = {Vacancy clustering and prismatic dislocation loop formation in aluminum}, journal = {Physical Review B}, year = {2007}, volume = {76}, number = {18}, url = {://WOS:000251326700001}, type = {Journal Article}, ISSN = {1098-0121}, DOI = {ARTN 18010110.1103/PhysRevB.76.180101}, author = {Gavini, V. and Bhattacharya, K. and Ortiz, M.} } @Article { MR2308801, title = {Vanishing of beta function of non-commutative {\^I}¦\(_{4}\)\(^{4}\) theory to all orders}, journal = {Phys. Lett. B}, year = {2007}, volume = {649}, number = {1}, pages = {95--102}, url = {https://doi.org/10.1016/j.physletb.2007.04.007}, DOI = {10.1016/j.physletb.2007.04.007}, author = {Disertori, Margherita and Gurau, Razvan and Magnen, Jacques and Rivasseau, Vincent} } @Book { MR2341653, title = {Numerical simulation in molecular dynamics}, year = {2007}, volume = {5}, pages = {xii+470}, note = {Numerics, algorithms, parallelization, applications}, publisher = {Springer, Berlin}, series = {Texts in Computational Science and Engineering}, ISBN = {978-3-540-68094-9}, author = {Griebel, Michael and Knapek, Stephan and Zumbusch, Gerhard} } @Conference { Burstedde.Ghattas:2007, title = {Algorithmic Strategies for Full Waveform Inversion: 1D Experiments}, year = {2007}, pages = {1913-1917}, series = {Expanded Abstracts}, booktitle = {77th Annual International Meeting}, author = {Burstedde, Carsten and Ghattas, Omar} } @Incollection { MR2293516, title = {A particle-partition of unity method. VII. Adaptivity}, year = {2007}, volume = {57}, pages = {121--147}, url = {https://doi.org/10.1007/978-3-540-46222-4_8}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations III}, DOI = {10.1007/978-3-540-46222-4_8}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Incollection { MR2293516, title = {A particle-partition of unity method. VII. Adaptivity}, year = {2007}, volume = {57}, pages = {121--147}, url = {https://doi.org/10.1007/978-3-540-46222-4_8}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations III}, DOI = {10.1007/978-3-540-46222-4_8}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Inproceedings { Boerm.Garcke:2007, title = {Approximating Gaussian Processes with H\verb=^=2-matrices}, year = {2007}, volume = {4701}, pages = {42--53}, editor = {Joost N. Kok and Jacek Koronacki and Ramon Lopez de Mantaras and Stan Matwin and Dunja Mladen and Andrzej Skowron}, booktitle = {Proceedings of 18th European Conference on Machine Learning, Warsaw, Poland, September 17-21, 2007. ECML 2007}, DOI = {10.1007/978-3-540-74958-5_8}, author = {B{\~A}¶rm, S. and Garcke, J.} } @Inproceedings { Verleye.Croce.Griebel.ea:2007, title = {Finite difference computation of the permeability of textile reinforcements with a fast Stokes solver and new validation examples}, year = {2007}, volume = {907}, pages = {945--950}, editor = {Cueto, E. and Chinesta, F.}, booktitle = {AIP Conference Proceedings}, author = {Verleye, B. and Croce, R. and Griebel, M. and Klitz, M. and Lomov, S. and Verpoest, I. and Roose, D.} } @Inproceedings { Gerstner.Griebel.Holtz:2007, title = {The Effective Dimension of Asset-Liability Management Problems in Life Insurance}, year = {2007}, pages = {148--153}, editor = {C. Fernandes and H. Schmidli and N. Kolev}, booktitle = {Proc. Third Brazilian Conference on Statistical Modelling in Insurance and Finance}, author = {Gerstner, T. and Griebel, M. and Holtz, M.} } @Inproceedings { Hegland.Griebel:2007, title = {Variational problems in machine learning and their solution with finite elements}, year = {2007}, volume = {48}, pages = {C364--C379}, url = {http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/90}, editor = {Wayne Read and A. J. Roberts}, series = {ANZIAM J.}, booktitle = {Proceedings of the 13th Biennial Computational Techniques and Applications Conference, CTAC-2006}, author = {Hegland, M. and Griebel, M.} } @Article { MR2366325, title = {A dimension adaptive sparse grid combination technique for machine learning}, journal = {ANZIAM J.}, year = {2006}, volume = {48}, number = {(C)}, pages = {C725--C740 (2009)}, url = {https://doi.org/10.1017/S1446181100003382}, DOI = {10.1017/S1446181100003382}, author = {Garcke, Jochen} } @Article { MR2224047, title = {A dual open coloring axiom}, journal = {Ann. Pure Appl. Logic}, year = {2006}, volume = {140}, number = {1-3}, pages = {40--51}, url = {https://doi.org/10.1016/j.apal.2005.09.003}, DOI = {10.1016/j.apal.2005.09.003}, author = {Geschke, Stefan} } @Article { MR2213950, title = {A numerical approach to copolymers at selective interfaces}, journal = {J. Stat. Phys.}, year = {2006}, volume = {122}, number = {4}, pages = {799--832}, url = {https://doi.org/10.1007/s10955-005-8081-z}, DOI = {10.1007/s10955-005-8081-z}, author = {Caravenna, Francesco and Giacomin, Giambattista and Gubinelli, Massimiliano} } @Article { MR2231783, title = {A variational model for dislocations in the line tension limit}, journal = {Arch. Ration. Mech. Anal.}, year = {2006}, volume = {181}, number = {3}, pages = {535--578}, url = {https://doi.org/10.1007/s00205-006-0432-7}, DOI = {10.1007/s00205-006-0432-7}, author = {Garroni, Adriana and M{\~A}¼ller, Stefan} } @Article { MR2209433, title = {Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods}, journal = {Numer. Linear Algebra Appl.}, year = {2006}, volume = {13}, number = {2-3}, pages = {193--214}, url = {https://doi.org/10.1002/nla.482}, DOI = {10.1002/nla.482}, author = {Griebel, Michael and Metsch, Bram and Oeltz, Daniel and Schweitzer, Marc Alexander} } @Article { MR2209433, title = {Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods}, journal = {Numer. Linear Algebra Appl.}, year = {2006}, volume = {13}, number = {2-3}, pages = {193--214}, url = {https://doi.org/10.1002/nla.482}, DOI = {10.1002/nla.482}, author = {Griebel, Michael and Metsch, Bram and Oeltz, Daniel and Schweitzer, Marc Alexander} } @Article { Fassbender.Griebel.Holtz.ea:2006, title = {Curriculum vitae of Friedrich Ludwig Bauer}, journal = {Linear Algebra and its Applications}, year = {2006}, volume = {417}, number = {2-3, SI}, pages = {299--300}, type = {Biographical-Item}, DOI = {10.1016/j.laa.2006.07.001}, author = {Fassbender, H. and Griebel, M. and Holtz, O. and Stewart, G.W. and Zenger, C.} } @Article { MR2195898, title = {Flow simulation on moving boundary-fitted grids and application to fluid-structure interaction problems}, journal = {Internat. J. Numer. Methods Fluids}, year = {2006}, volume = {50}, number = {4}, pages = {437--468}, url = {https://doi.org/10.1002/fld.1067}, DOI = {10.1002/fld.1067}, author = {Engel, Martin and Griebel, Michael} } @Article { MR2284401, title = {Gibbs measures for self-interacting Wiener paths}, journal = {Markov Process. Related Fields}, year = {2006}, volume = {12}, number = {4}, pages = {747--766}, author = {Gubinelli, M.} } @Article { MR2269312, title = {Jessen-Wintner type random variables and fractional properties of their distributions}, journal = {Math. Nachr.}, year = {2006}, volume = {279}, number = {15}, pages = {1619--1633}, url = {https://doi.org/10.1002/mana.200310441}, DOI = {10.1002/mana.200310441}, author = {Albeverio, Sergio and Gontcharenko, Yana and Pratsiovytyi, Mykola and Torbin, Grygoriy} } @Article { Arndt.Griebel.Novak.Roubicek.Sittner:2005, title = {Martensitic Transformation in NiMnGa Single Crystals: Numerical Simulation and Experiments}, journal = {International Journal of Plasticity}, year = {2006}, volume = {22}, number = {10}, pages = {1943--1961}, abstract = {In this article, we develop a continuum mechanical model to simulate deformation and phase transformation processes in shape memory alloys. The model is based on a detailed description of the stored energy. Furthermore, the energy dissipation due to phase transformations is taken into account via the maximum-dissipation principle. The results from the 3D numerical simulations of stress induced transformations from the cubic to the tetragonal phase and martensitic variant reorientations in NiMnGa are compared with laboratory experiments on NiMnGa [001]-oriented single crystals.}, author = {Arndt, Marcel and Griebel, Michael and Nov{\~A}¡k, V{\~A}¡clav and Roub{\~A}­cek, Tom{\~A}¡s and Sittner, Petr} } @Article { MR2219028, title = {On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation}, journal = {Math. Comp.}, year = {2006}, volume = {75}, number = {255}, pages = {1259--1286}, url = {https://doi.org/10.1090/S0025-5718-06-01865-5}, DOI = {10.1090/S0025-5718-06-01865-5}, author = {Griebel, Michael and Wo{\'z}niakowski, Henryk} } @Article { MR2263181, title = {Parallelisation of sparse grids for large scale data analysis}, journal = {ANZIAM J.}, year = {2006}, volume = {48}, number = {1}, pages = {11--22}, url = {https://doi.org/10.1017/S1446181100003382}, DOI = {10.1017/S1446181100003382}, author = {Garcke, Jochen and Hegland, Markus and Nielsen, Ole} } @Article { MR2250311, title = {Preface. Curriculum vitae of Friedrich Ludwig Bauer}, journal = {Linear Algebra Appl.}, year = {2006}, volume = {417}, number = {2-3}, pages = {299--300}, url = {https://doi.org/10.1016/j.laa.2006.07.001}, DOI = {10.1016/j.laa.2006.07.001}, author = {Fassbender, Heike and Griebel, Michael and Holtz, Olga and Stewart, G. W. and Zenger, Christoph} } @Article { MR2242628, title = {Rigid modules over preprojective algebras}, journal = {Invent. Math.}, year = {2006}, volume = {165}, number = {3}, pages = {589--632}, url = {https://doi.org/10.1007/s00222-006-0507-y}, DOI = {10.1007/s00222-006-0507-y}, author = {Gei{\~A}?, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2227041, title = {Rooted trees for 3D Navier-Stokes equation}, journal = {Dyn. Partial Differ. Equ.}, year = {2006}, volume = {3}, number = {2}, pages = {161--172}, url = {https://doi.org/10.4310/DPDE.2006.v3.n2.a3}, DOI = {10.4310/DPDE.2006.v3.n2.a3}, author = {Gubinelli, Massimiliano} } @Article { MR2231727, title = {Space-time approximation with sparse grids}, journal = {SIAM J. Sci. Comput.}, year = {2006}, volume = {28}, number = {2}, pages = {701--727}, url = {https://doi.org/10.1137/050629252}, DOI = {10.1137/050629252}, author = {Griebel, Michael and Oeltz, Daniel and Vassilevski, Panayot} } @Article { MR2346169, title = {Variational problems in machine learning and their solution with finite elements}, journal = {ANZIAM J.}, year = {2006}, volume = {48}, number = {(C)}, pages = {C381--C396 (2009)}, author = {Hegland, M. and Griebel, M.} } @Article { MR2235343, title = {Verma modules and preprojective algebras}, journal = {Nagoya Math. J.}, year = {2006}, volume = {182}, pages = {241--258}, url = {https://doi.org/10.1017/S002776300002688X}, DOI = {10.1017/S002776300002688X}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2255351, title = {Young integrals and SPDEs}, journal = {Potential Anal.}, year = {2006}, volume = {25}, number = {4}, pages = {307--326}, url = {https://doi.org/10.1007/s11118-006-9013-5}, DOI = {10.1007/s11118-006-9013-5}, author = {Gubinelli, Massimiliano and Lejay, Antoine and Tindel, Samy} } @Incollection { MR2275738, title = {A wavelet based sparse grid method for the electronic Schr{\~A}¶dinger equation}, year = {2006}, pages = {1473--1506}, publisher = {Eur. Math. Soc., Z{\~A}¼rich}, booktitle = {International Congress of Mathematicians. Vol. III}, author = {Griebel, Michael and Hamaekers, Jan} } @Incollection { MR2208210, title = {Double zeta values and modular forms}, year = {2006}, pages = {71--106}, url = {https://doi.org/10.1142/9789812774415_0004}, publisher = {World Sci. Publ., Hackensack, NJ}, booktitle = {Automorphic forms and zeta functions}, DOI = {10.1142/9789812774415_0004}, author = {Gangl, Herbert and Kaneko, Masanobu and Zagier, Don} } @Incollection { Griebel.Hamaekers:2005b, title = {Molecular Dynamics Simulations of the Mechanical Properties of Polyethylene-Carbon Nanotube Composites}, year = {2006}, volume = {9}, pages = {409--454}, note = {Also as INS Preprint No. 0502}, editor = {M. Rieth and W. Schommers}, publisher = {American Scientific Publishers}, chapter = {8}, booktitle = {Handbook of Theoretical and Computational Nanotechnology}, author = {Griebel, M. and Hamaekers, J.} } @Incollection { MR2275161, title = {Multiple scales in phase separating systems with elastic misfit}, year = {2006}, pages = {153--178}, url = {https://doi.org/10.1007/3-540-35657-6_6}, publisher = {Springer, Berlin}, booktitle = {Analysis, modeling and simulation of multiscale problems}, DOI = {10.1007/3-540-35657-6_6}, author = {Garcke, Harald and Lenz, Martin and Niethammer, Barbara and Rumpf, Martin and Weikard, Ulrich} } @Incollection { MR2275161, title = {Multiple scales in phase separating systems with elastic misfit}, year = {2006}, pages = {153--178}, url = {https://doi.org/10.1007/3-540-35657-6_6}, publisher = {Springer, Berlin}, booktitle = {Analysis, modeling and simulation of multiscale problems}, DOI = {10.1007/3-540-35657-6_6}, author = {Garcke, Harald and Lenz, Martin and Niethammer, Barbara and Rumpf, Martin and Weikard, Ulrich} } @Incollection { MR2277104, title = {Sparse grids and related approximation schemes for higher dimensional problems}, year = {2006}, volume = {331}, pages = {106--161}, url = {https://doi.org/10.1017/CBO9780511721571.004}, publisher = {Cambridge Univ. Press, Cambridge}, series = {London Math. Soc. Lecture Note Ser.}, booktitle = {Foundations of computational mathematics, Santander 2005}, DOI = {10.1017/CBO9780511721571.004}, author = {Griebel, Michael} } @Incollection { MR2280670, title = {The coinitiality of a compact space}, journal = {Topology Proc.}, year = {2006}, volume = {30}, number = {1}, pages = {237--250}, note = {Spring Topology and Dynamical Systems Conference}, author = {Geschke, Stefan} } @Inproceedings { Verleye.Klitz.Croce.ea:2006, title = {Predicting the permeability of textile reinforcements via a hybrid Navier-Stokes/Brinkman solver}, year = {2006}, pages = {65--72}, editor = {Binetruy}, address = {Ecole des Mines de Douai, Douai}, booktitle = {Proceedings of the 8th International Conference on Flow Processes in Composite Materials (FPCM-8)}, author = {Verleye, B. and Klitz, M. and Croce, R. and Griebel, M. and Lomov, S.V. and Roose, D. and Verpoest, I.} } @Techreport { Griebel.Metsch.Schweitzer:2006, title = {Coarse grid classification--Part II: Automatic coarse grid agglomeration for parallel AMG}, year = {2006}, number = {271}, abstract = {Multigrid methods (MG) are known to be optimal solvers forlarge sparse linear systems arising from the finiteelement, finite difference or finite volume discretizationof a partial differential equation (PDE). Algebraicmultigrid methods (AMG) extend this approach to wide aclass of problems, e.g. anisotropic operators orunstructured grids. However, the parallelization of AMG,especially the construction of the coarse grids, is achallenging task. In this paper, we present an extension ofthe coarse grid classification scheme (CGC) for parallelAMG coarsening. Our new approach allows coarsening ratesthat are (essentially) independent of the number ofprocessors. This consequently means that the presentedscheme can coarsen a grid down to a single pointindependent of the number of processors, i.e. our schemecan be interpreted as an automatic coarse gridagglomeration scheme. The results of our numericalexperiments in two and three space dimensions indicate thatthe presented scheme gives robust coarsening ratesindependent of the number of processors and provides smalloperator and grid complexities.}, institution = {Sonderforschungsbereich 611, Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Griebel, Michael and Metsch, Bram and Alexander Schweitzer, Marc} } @Article { MR2181024, title = {A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum}, journal = {Appl. Math.}, year = {2005}, volume = {50}, number = {6}, pages = {527--541}, url = {https://doi.org/10.1007/s10492-005-0035-x}, DOI = {10.1007/s10492-005-0035-x}, author = {Frehse, Jens and Goj, Sonja and M{\~A}¡lek, Josef} } @Article { MR2141959, title = {A zero theorem for the transfer of coherent Witt groups}, journal = {Math. Nachr.}, year = {2005}, volume = {278}, number = {7-8}, pages = {815--823}, url = {https://doi.org/10.1002/mana.200310274}, DOI = {10.1002/mana.200310274}, author = {Gille, Stefan and Hornbostel, Jens} } @Article { MR2190324, title = {Courbes de genre 5 munies d'une involution sans point fixe}, journal = {J. London Math. Soc. (2)}, year = {2005}, volume = {72}, number = {3}, pages = {545--570}, url = {https://doi.org/10.1112/S0024610705006988}, DOI = {10.1112/S0024610705006988}, author = {d'Almeida, Jean and Gruson, Laurent and Perrin, Nicolas} } @Article { MR2162866, title = {Derivation of higher order gradient continuum models from atomistic models for crystalline solids}, journal = {Multiscale Model. Simul.}, year = {2005}, volume = {4}, number = {2}, pages = {531--562}, url = {https://doi.org/10.1137/040608738}, DOI = {10.1137/040608738}, author = {Arndt, M. and Griebel, M.} } @Article { MR2115084, title = {Extension-orthogonal components of preprojective varieties}, journal = {Trans. Amer. Math. Soc.}, year = {2005}, volume = {357}, number = {5}, pages = {1953--1962}, url = {https://doi.org/10.1090/S0002-9947-04-03555-X}, DOI = {10.1090/S0002-9947-04-03555-X}, author = {Geiss, Christof and Schr{\~A}¶er, Jan} } @Article { MR2155188, title = {Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries}, journal = {Regul. Chaotic Dyn.}, year = {2005}, volume = {10}, number = {3}, pages = {285--306}, url = {https://doi.org/10.1070/RD2005v010n03ABEH000316}, DOI = {10.1070/RD2005v010n03ABEH000316}, author = {Albeverio, S. and Galperin, G. and Nizhnik, I. L. and Nizhnik, L. P.} } @Article { MR2178227, title = {{\^I}?-limit of a phase-field model of dislocations}, journal = {SIAM J. Math. Anal.}, year = {2005}, volume = {36}, number = {6}, pages = {1943--1964}, url = {https://doi.org/10.1137/S003614100343768X}, DOI = {10.1137/S003614100343768X}, author = {Garroni, A. and M{\~A}¼ller, S.} } @Article { MR2130943, title = {L\(^{p}\)-estimates for the Navier-Stokes equations for steady compressible flow}, journal = {Manuscripta Math.}, year = {2005}, volume = {116}, number = {3}, pages = {265--275}, url = {https://doi.org/10.1007/s00229-004-0513-6}, DOI = {10.1007/s00229-004-0513-6}, author = {Frehse, Jens and Goj, Sonja and Steinhauer, Mark} } @Article { MR2134440, title = {Local invariants for a class of mixed states}, journal = {Phys. Lett. A}, year = {2005}, volume = {340}, number = {1-4}, pages = {37--42}, url = {https://doi.org/10.1016/j.physleta.2005.04.005}, DOI = {10.1016/j.physleta.2005.04.005}, author = {Albeverio, Sergio and Fei, Shao-Ming and Goswami, Debashish} } @Article { MR2180971, title = {Matrix model eigenvalue integrals and twist fields in the su(2)-WZW model}, journal = {J. High Energy Phys.}, year = {2005}, number = {10}, pages = {107, 35}, url = {https://doi.org/10.1088/1126-6708/2005/10/107}, DOI = {10.1088/1126-6708/2005/10/107}, author = {Gaberdiel, Matthias R. and Klemm, Albrecht and Runkel, Ingo} } @Article { MR2120991, title = {Metastability in reversible diffusion processes. II. Precise asymptotics for small eigenvalues}, journal = {J. Eur. Math. Soc. (JEMS)}, year = {2005}, volume = {7}, number = {1}, pages = {69--99}, url = {https://doi.org/10.4171/JEMS/22}, DOI = {10.4171/JEMS/22}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Klein, Markus} } @Article { MR2111936, title = {More on convexity numbers of closed sets in \textbackslashBbb R\verb=^=n}, journal = {Proc. Amer. Math. Soc.}, year = {2005}, volume = {133}, number = {5}, pages = {1307--1315}, url = {https://doi.org/10.1090/S0002-9939-04-07685-3}, DOI = {10.1090/S0002-9939-04-07685-3}, author = {Geschke, Stefan} } @Article { MR2139449, title = {On a Stokes-like system for mixtures of fluids}, journal = {SIAM J. Math. Anal.}, year = {2005}, volume = {36}, number = {4}, pages = {1259--1281}, url = {https://doi.org/10.1137/S0036141003433425}, DOI = {10.1137/S0036141003433425}, author = {Frehse, Jens and Goj, Sonja and M{\~A}¡lek, Josef} } @Article { MR2183111, title = {On the computational power of probabilistic and quantum branching program}, journal = {Inform. and Comput.}, year = {2005}, volume = {203}, number = {2}, pages = {145--162}, url = {https://doi.org/10.1016/j.ic.2005.04.003}, DOI = {10.1016/j.ic.2005.04.003}, author = {Ablayev, Farid and Gainutdinova, Aida and Karpinski, Marek and Moore, Cristopher and Pollett, Christopher} } @Article { MR2144987, title = {Semicanonical bases and preprojective algebras}, journal = {Ann. Sci. {\~A}?cole Norm. Sup. (4)}, year = {2005}, volume = {38}, number = {2}, pages = {193--253}, url = {https://doi.org/10.1016/j.ansens.2004.12.001}, DOI = {10.1016/j.ansens.2004.12.001}, author = {Geiss, Christof and Leclerc, Bernard and Schr{\~A}¶er, Jan} } @Article { MR2164032, title = {Statistics of a vortex filament model}, journal = {Electron. J. Probab.}, year = {2005}, volume = {10}, pages = {no. 25, 865--900}, url = {https://doi.org/10.1214/EJP.v10-267}, DOI = {10.1214/EJP.v10-267}, author = {Flandoli, Franco and Gubinelli, Massimiliano} } @Article { MR2158261, title = {Stochastic currents}, journal = {Stochastic Process. Appl.}, year = {2005}, volume = {115}, number = {9}, pages = {1583--1601}, url = {https://doi.org/10.1016/j.spa.2005.04.007}, DOI = {10.1016/j.spa.2005.04.007}, author = {Flandoli, Franco and Gubinelli, Massimiliano and Giaquinta, Mariano and Tortorelli, Vincenzo M.} } @Article { MR2133631, title = {Systems of classical particles in the grand canonical ensemble, scaling limits and quantum field theory}, journal = {Rev. Math. Phys.}, year = {2005}, volume = {17}, number = {2}, pages = {175--226}, url = {https://doi.org/10.1142/S0129055X05002327}, DOI = {10.1142/S0129055X05002327}, author = {Albeverio, Sergio and Gottschalk, Hanno and Yoshida, Minoru W.} } @Article { MR2165581, title = {The evolution of a random vortex filament}, journal = {Ann. Probab.}, year = {2005}, volume = {33}, number = {5}, pages = {1825--1855}, url = {https://doi.org/10.1214/009117905000000323}, DOI = {10.1214/009117905000000323}, author = {Bessaih, Hakima and Gubinelli, Massimiliano and Russo, Francesco} } @Book { MR2105735, title = {Solvable models in quantum mechanics}, year = {2005}, pages = {xiv+488}, note = {With an appendix by Pavel Exner}, publisher = {AMS Chelsea Publishing, Providence, RI}, edition = {Second}, ISBN = {0-8218-3624-2}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Holden, H.} } @Incollection { MR2278264, title = {A particle-partition of unity method. VI. A p-robust multilevel solver}, year = {2005}, volume = {43}, pages = {71--92}, url = {https://doi.org/10.1007/3-540-27099-X_5}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations II}, DOI = {10.1007/3-540-27099-X_5}, author = {Griebel, Michael and Oswald, Peter and Schweitzer, Marc Alexander} } @Incollection { MR2278264, title = {A particle-partition of unity method. VI. A p-robust multilevel solver}, year = {2005}, volume = {43}, pages = {71--92}, url = {https://doi.org/10.1007/3-540-27099-X_5}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations II}, DOI = {10.1007/3-540-27099-X_5}, author = {Griebel, Michael and Oswald, Peter and Schweitzer, Marc Alexander} } @Incollection { MR2258083, title = {Embedding point sets into plane graphs of small dilation}, year = {2005}, volume = {3827}, pages = {5--16}, url = {https://doi.org/10.1007/11602613_3}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Algorithms and computation}, DOI = {10.1007/11602613_3}, author = {Ebbers-Baumann, Annette and Gr{\~A}¼ne, Ansgar and Karpinski, Marek and Klein, Rolf and Knauer, Christian and Lingas, Andrzej} } @Inproceedings { Griebel.Hamaekers.Wildenhues:2005, title = {Molecular dynamics simulations of the influence of chemical cross-links on the elastic moduli of polymer-carbon nanotube composites}, year = {2005}, note = {Also as INS Preprint No. 0503}, editor = {J. Sanchez}, address = {LABEIN, Bilbao, Spain}, booktitle = {Proceedings 1st Nanoc-Workshop}, author = {Griebel, M. and Hamaekers, J. and Wildenhues, R.} } @Inproceedings { Griebel.Schweitzer:2005, title = {Particle-Partition of Unity Methods in Elasticity}, year = {2005}, publisher = {Springer}, booktitle = {Proceedings of the International Conference on Computational Methods}, author = {Griebel, M. and A. Schweitzer, M.} } @Inproceedings { Garcke.Griebel:2005, title = {Semi-supervised learning with sparse grids}, year = {2005}, pages = {19--28}, abstract = {Sparse grids were recently introduced for classication andregression problems. In this article we apply the sparsegrid approach to semi-supervised classication. We formulatethe semi-supervised learning problem by a regularizationapproach. Here, besides a regression formulation for thelabeled data, an additional term is involved which is basedon the graph Laplacian for an adjacency graph of all,labeled and unlabeled data points. It re ects the intrinsicgeometric structure of the data distribution. We discretizethe resulting problem in function space by the sparse gridmethod and solve the arising equations using the so-calledcombination technique. In contrast to recently proposedkernel based methods which currently scale cubic in regardto the number of overall data, our method scales onlylinear, provided that a sparse graph Laplacian is used.This allows to deal with huge data sets which involvemillions of points. We show experimental results with thenew approach.}, editor = {M.-R. Amini and O. Chapelle and R. Ghani}, booktitle = {Proceedings of ICML, Workshop on Learning with Partially Classified Training Data}, author = {Garcke, J. and Griebel, M.} } @Techreport { Griebel.Jager.Voigt:2004b, title = {Computing Diffusion Coefficients of Intrinsic Point Defects by Atomistic Simulations}, year = {2005}, abstract = {We present a new method to identify and track intrinsicpoint defects in a silicon crystal in a molecular dynamicssimulation. If the canonical ensemble is employed, theresulting trajectory can be used to compute the diffusioncoefficients of defects for a prescribed temperature. A fitof these values for different temperatures to anArrhenius--type function gives the temperature dependenceof the diffusion coefficient over the whole range ofinterest. For this purpose, we performed simulationsemploying the Stillinger--Weber potential as well as theTersoff potential. We were able to improve the accuracy ofthe approximation of the diffusion coefficients forself-interstitials and vacancies computed by Sinno (1998)and Tang et al. (1997).}, institution = {Institute for Numerical Simulation, University of Bonn}, author = {Griebel, M. and Jager, L. and Voigt, A.} } @Article { MR2105909, title = {A representation of the Belavkin equation via phase space Feynman path integrals}, journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.}, year = {2004}, volume = {7}, number = {4}, pages = {507--526}, url = {https://doi.org/10.1142/S0219025704001748}, DOI = {10.1142/S0219025704001748}, author = {Albeverio, S. and Guatteri, G. and Mazzucchi, S.} } @Article { MR2104885, title = {Asymptotic completeness for Compton scattering}, journal = {Comm. Math. Phys.}, year = {2004}, volume = {252}, number = {1-3}, pages = {415--476}, url = {https://doi.org/10.1007/s00220-004-1180-x}, DOI = {10.1007/s00220-004-1180-x}, author = {Fr{\~A}¶hlich, J. and Griesemer, M. and Schlein, B.} } @Article { MR2114964, title = {Continuous Ramsey theory on Polish spaces and covering the plane by functions}, journal = {J. Math. Log.}, year = {2004}, volume = {4}, number = {2}, pages = {109--145}, url = {https://doi.org/10.1142/S0219061304000334}, DOI = {10.1142/S0219061304000334}, author = {Geschke, Stefan and Goldstern, Martin and Kojman, Menachem} } @Article { MR2091358, title = {Controlling rough paths}, journal = {J. Funct. Anal.}, year = {2004}, volume = {216}, number = {1}, pages = {86--140}, url = {https://doi.org/10.1016/j.jfa.2004.01.002}, DOI = {10.1016/j.jfa.2004.01.002}, author = {Gubinelli, M.} } @Article { MR2073314, title = {Covering \textbackslashBbb R\(^{n+1}\) by graphs of n-ary functions and long linear orderings of Turing degrees}, journal = {Proc. Amer. Math. Soc.}, year = {2004}, volume = {132}, number = {11}, pages = {3367--3377}, url = {https://doi.org/10.1090/S0002-9939-04-07422-2}, DOI = {10.1090/S0002-9939-04-07422-2}, author = {Abraham, Uri and Geschke, Stefan} } @Article { Clarenz.Griebel.Rumpf.ea:2004, title = {Feature Sensitive Multiscale Editing on Surfaces}, journal = {The Visual Computer}, year = {2004}, number = {20}, pages = {329--343}, note = {Also as Preprint No.\verb=~=89, SFB 611, Universit{\~A}¤t Bonn, Germany}, author = {Clarenz, U. and Griebel, M. and Rumpf, M. and Schweitzer, M. and Telea, A.} } @Article { Clarenz.Griebel.Rumpf.ea:2004, title = {Feature Sensitive Multiscale Editing on Surfaces}, journal = {The Visual Computer}, year = {2004}, number = {20}, pages = {329--343}, note = {Also as Preprint No.erb=\verb=~==89, SFB 611, Universit{\~A}¤t Bonn, Germany}, author = {Clarenz, U. and Griebel, M. and Rumpf, M. and Schweitzer, M. and Telea, A.} } @Article { Clarenz.Griebel.Rumpf.ea:2004, title = {Feature Sensitive Multiscale Editing on Surfaces}, journal = {The Visual Computer}, year = {2004}, number = {20}, pages = {329--343}, note = {Also as Preprint No.\verb=~=89, SFB 611, Universit{\~A}¤t Bonn, Germany}, author = {Clarenz, U. and Griebel, M. and Rumpf, M. and Schweitzer, M. and Telea, A.} } @Article { MR2070097, title = {Finite-size scaling in the driven lattice gas}, journal = {J. Statist. Phys.}, year = {2004}, volume = {115}, number = {1-2}, pages = {281--322}, url = {https://doi.org/10.1023/B:JOSS.0000019824.34397.1d}, DOI = {10.1023/B:JOSS.0000019824.34397.1d}, author = {Caracciolo, Sergio and Gambassi, Andrea and Gubinelli, Massimiliano and Pelissetto, Andrea} } @Article { MR2094397, title = {Metastability in reversible diffusion processes. I. Sharp asymptotics for capacities and exit times}, journal = {J. Eur. Math. Soc. (JEMS)}, year = {2004}, volume = {6}, number = {4}, pages = {399--424}, url = {https://doi.org/10.4171/JEMS/14}, DOI = {10.4171/JEMS/14}, author = {Bovier, Anton and Eckhoff, Michael and Gayrard, V{\~A}©ronique and Klein, Markus} } @Article { MR2069435, title = {Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites}, journal = {Comput. Methods Appl. Mech. Engrg.}, year = {2004}, volume = {193}, number = {17-20}, pages = {1773--1788}, url = {https://doi.org/10.1016/j.cma.2003.12.025}, DOI = {10.1016/j.cma.2003.12.025}, author = {Griebel, Michael and Hamaekers, Jan} } @Article { MR2004120, title = {Multiple {\^I}¶-motives and moduli spaces \{M\(_{0,n\}}\)}, journal = {Compos. Math.}, year = {2004}, volume = {140}, number = {1}, pages = {1--14}, url = {https://doi.org/10.1112/S0010437X03000125}, DOI = {10.1112/S0010437X03000125}, author = {Goncharov, A. B. and Manin, Yu. I.} } @Article { MR2153483, title = {On knots with trivial Alexander polynomial}, journal = {J. Differential Geom.}, year = {2004}, volume = {67}, number = {1}, pages = {167--193}, url = {http://projecteuclid.org/euclid.jdg/1099587731}, author = {Garoufalidis, Stavros and Teichner, Peter} } @Article { Griebel.Jager.Voigt:2004, title = {Predicting material parameters for intrinsic point defect diffusion in silicon crystal growth}, journal = {Solid State Phenomena}, year = {2004}, volume = {95-96}, pages = {35-40}, author = {Griebel, M. and Jager, L. and Voigt, A.} } @Article { MR2091947, title = {Reply to: {\^a}??Comment on: `Transverse fluctuations in the driven lattice gas'\textbackslash,{\^a}?? [J. Phys. A \emph{37}(2004), no. 33, 8189--8191; MR2091946] by E. V. Albano}, journal = {J. Phys. A}, year = {2004}, volume = {37}, number = {33}, pages = {8193--8195}, url = {https://doi.org/10.1088/0305-4470/37/33/N02}, DOI = {10.1088/0305-4470/37/33/N02}, author = {Caracciolo, Sergio and Gambassi, Andrea and Gubinelli, Massimiliano and Pelissetto, Andrea} } @Article { MR2099602, title = {Some combinatorial principles defined in terms of elementary submodels}, journal = {Fund. Math.}, year = {2004}, volume = {181}, number = {3}, pages = {233--255}, url = {https://doi.org/10.4064/fm181-3-3}, DOI = {10.4064/fm181-3-3}, author = {Fuchino, Saka{\~A}© and Geschke, Stefan} } @Article { MR2249147, title = {Sparse grids}, journal = {Acta Numer.}, year = {2004}, volume = {13}, pages = {147--269}, url = {https://doi.org/10.1017/S0962492904000182}, DOI = {10.1017/S0962492904000182}, author = {Bungartz, Hans-Joachim and Griebel, Michael} } @Book { Bungartz.Griebel.Zenger:2004, title = {Introduction to Computer Graphics}, year = {2004}, abstract = {In this essential guide to programming computer graphics,the authors begin with the basics of generating images fromscratch on a computer screen, taking the first chapter todiscuss coordinate systems and transformations, rudimentaryshapes, and the representation of grays and colors. Thebook then moves into ways to model and then represent athree-dimensional figure, covering mathematical models, thevef graph, Euler operators, Bezier curves, and thenthree-dimensional clipping, lighting effects/shading,visualization, and ray tracing. The final chapter addressesspecific applications of techniques such as mapping,stereography, and image processing, explaining their use inrepresenting natural objects as well as in virtual realityprogramming. This book can be used as a reference forprofessionals in the computer graphics field and a textbookfor students of computer graphics programming.Key features:* Provides a comprehensive introduction to the field ofcomputer graphics and a solid foundation for further study* Covers the generation, modeling, and presentation of 3Dgraphics* Includes three appendixes covering interfaces andstandards, overviews of graphical software such as OpenGLand 3D Modeler, and exercises for additional practice* Provides tables for programming color codes for easyreference}, publisher = {Charles River Media}, address = {Hingham, Massachusetts}, author = {Bungartz, H.-J. and Griebel, M. and Zenger, C.} } @Incollection { MR2138273, title = {A note on minimal dynamical systems}, journal = {Acta Univ. Carolin. Math. Phys.}, year = {2004}, volume = {45}, number = {2}, pages = {35--43}, note = {32nd Winter School on Abstract Analysis}, author = {Geschke, Stefan} } @Incollection { MR2057566, title = {Interval and band estimation for curves with jumps}, journal = {J. Appl. Probab.}, year = {2004}, volume = {41A}, pages = {65--79}, note = {Stochastic methods and their applications}, url = {https://doi.org/10.1239/jap/1082552191}, DOI = {10.1239/jap/1082552191}, author = {Gijbels, Ir{\~A}¨ne and Hall, Peter and Kneip, Alo\textbackslash''\textbackslashis} } @Incollection { MR2155534, title = {On Sacks forcing and the Sacks property}, year = {2004}, volume = {23}, pages = {95--139}, url = {https://doi.org/10.1007/978-1-4020-2776-5_7}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {Trends Log. Stud. Log. Libr.}, booktitle = {Classical and new paradigms of computation and their complexity hierarchies}, DOI = {10.1007/978-1-4020-2776-5_7}, author = {Geschke, Stefan and Quickert, Sandra} } @Incollection { MR2096285, title = {Random currents and probabilistic models of vortex filaments}, year = {2004}, volume = {58}, pages = {129--139}, publisher = {Birkh{\~A}¤user, Basel}, series = {Progr. Probab.}, booktitle = {Seminar on Stochastic Analysis, Random Fields and Applications IV}, author = {Flandoli, Franco and Gubinelli, Massimiliano} } @Inproceedings { Griebel.Preusser.Rumpf.ea:2004, title = {Flow Field Clustering via Algebraic Multigrid}, year = {2004}, pages = {35--42}, booktitle = {Proceedings of the IEEE Visualization 2004}, author = {Griebel, M. and Preusser, T. and Rumpf, M. and A. Schweitzer, M. and Telea, A.} } @Inproceedings { Arndt.Griebel:2004b, title = {Higher order gradient continuum description of atomistic models for crystalline solids}, year = {2004}, abstract = {We propose an upscaling scheme for the passage fromatomistic to continuum mechanical models of crystallinesolids. It is based on a Taylor expansion of thedeformation function up to a given order and describes thematerial properties to a higher extent than commonly usedcontinuum mechanical models. In particular, thediscreteness effects of the underlying atomistic model arecaptured. The qualitative properties of the technique arenumerically analyzed for the model problem of aone-dimensional atomic chain. The approach is then appliedto the real three-dimensional physical example of a siliconcrystal. The resulting approximation properties are studiedin a stationary setting. Finally, a numerical simulation ofthe time evolution of the elastic response of crystalsilicon is presented.}, editor = {P. Neittaanm{\~A}¤ki and others}, booktitle = {Proceedings of the Fourth European Congress on Computational Methods in Applied Sciences and Engineering, Jyv{\~A}¤skyl{\~A}¤, Finland}, author = {Arndt, M. and Griebel, M.} } @Inproceedings { Griebel.Hamaekers:2004b, title = {Molecular Dynamics of Mechanical Properties of Boron-Nitride Nanotubes Embedded in Si-B-N Ceramics}, year = {2004}, pages = {51--55}, editor = {N. M. Ghoniem}, address = {Mechanical and Aerospace Engineering Department, University of California Los Angeles}, booktitle = {Conference Proceedings, Second International Conference on Multiscale Materials Modeling}, author = {Griebel, M. and Hamaekers, J.} } @Techreport { Croce.Griebel.Schweitzer:2004, title = {A Parallel Level-Set Approach for Two-Phase Flow Problems with Surface Tension in Three Space Dimensions}, year = {2004}, number = {157}, institution = {Sonderforschungsbereich 611, Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Croce, R. and Griebel, M. and A. Schweitzer, M.} } @Techreport { Griebel.Scherer.Schweitzer:2004, title = {Robust Norm Equivalencies and Optimal Preconditioners for Diffusion Problems}, year = {2004}, number = {154}, institution = {Sonderforschungsbereich 611, Universit{\~A}¤t Bonn}, type = {Preprint}, author = {Griebel, M. and Scherer, K. and A. Schweitzer, M.} } @Article { MR1964458, title = {A representation of the Belavkin equation via Feynman path integrals}, journal = {Probab. Theory Related Fields}, year = {2003}, volume = {125}, number = {3}, pages = {365--380}, url = {https://doi.org/10.1007/s00440-002-0231-5}, DOI = {10.1007/s00440-002-0231-5}, author = {Albeverio, S. and Guatteri, G. and Mazzucchi, S.} } @Article { MR2058066, title = {An algebraic multigrid method for linear elasticity}, journal = {SIAM J. Sci. Comput.}, year = {2003}, volume = {25}, number = {2}, pages = {385--407}, url = {https://doi.org/10.1137/S1064827502407810}, DOI = {10.1137/S1064827502407810}, author = {Griebel, Michael and Oeltz, Daniel and Schweitzer, Marc Alexander} } @Article { MR2058066, title = {An algebraic multigrid method for linear elasticity}, journal = {SIAM J. Sci. Comput.}, year = {2003}, volume = {25}, number = {2}, pages = {385--407}, url = {https://doi.org/10.1137/S1064827502407810}, DOI = {10.1137/S1064827502407810}, author = {Griebel, Michael and Oeltz, Daniel and Schweitzer, Marc Alexander} } @Article { MR1971258, title = {Concentration phenomena for the volume functional in unbounded domains: identification of concentration points}, journal = {J. Funct. Anal.}, year = {2003}, volume = {199}, number = {2}, pages = {386--410}, url = {https://doi.org/10.1016/S0022-1236(02)00062-9}, DOI = {10.1016/S0022-1236(02)00062-9}, author = {Garroni, A. and M{\~A}¼ller, S.} } @Article { MR1952399, title = {Convergence almost everywhere of certain partial sums of Fourier integrals}, journal = {Bull. London Math. Soc.}, year = {2003}, volume = {35}, number = {2}, pages = {225--228}, url = {https://doi.org/10.1112/S0024609302001728}, DOI = {10.1112/S0024609302001728}, author = {Carbery, Anthony and Gorges, Dirk and Marletta, Gianfranco and Thiele, Christoph} } @Article { MR2009651, title = {Dimension-adaptive tensor-product quadrature}, journal = {Computing}, year = {2003}, volume = {71}, number = {1}, pages = {65--87}, url = {https://doi.org/10.1007/s00607-003-0015-5}, DOI = {10.1007/s00607-003-0015-5}, author = {Gerstner, T. and Griebel, M.} } @Article { MR1974509, title = {Glauber dynamics of the random energy model. I. Metastable motion on the extreme states}, journal = {Comm. Math. Phys.}, year = {2003}, volume = {235}, number = {3}, pages = {379--425}, url = {https://doi.org/10.1007/s00220-003-0798-4}, DOI = {10.1007/s00220-003-0798-4}, author = {Ben Arous, G{\~A}©rard and Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR1977880, title = {Glauber dynamics of the random energy model. II. Aging below the critical temperature}, journal = {Comm. Math. Phys.}, year = {2003}, volume = {236}, number = {1}, pages = {1--54}, url = {https://doi.org/10.1007/s00220-003-0799-3}, DOI = {10.1007/s00220-003-0799-3}, author = {Ben Arous, G{\~A}©rard and Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR2016498, title = {Modelling and numerical simulation of martensitic transformation in shape memory alloys}, journal = {Contin. Mech. Thermodyn.}, year = {2003}, volume = {15}, number = {5}, pages = {463--485}, url = {https://doi.org/10.1007/s00161-003-0127-3}, DOI = {10.1007/s00161-003-0127-3}, author = {Arndt, M. and Griebel, M. and Roub{\~A}­cek, T.} } @Article { MR2000501, title = {Some notes concerning the homogeneity of Boolean algebras and Boolean spaces}, journal = {Topology Appl.}, year = {2003}, volume = {133}, number = {3}, pages = {241--253}, url = {https://doi.org/10.1016/S0166-8641(03)00103-2}, DOI = {10.1016/S0166-8641(03)00103-2}, author = {Geschke, Stefan and Shelah, Saharon} } @Article { MR1985486, title = {Transverse fluctuations in the driven lattice gas}, journal = {J. Phys. A}, year = {2003}, volume = {36}, number = {21}, pages = {L315--L320}, url = {https://doi.org/10.1088/0305-4470/36/21/101}, DOI = {10.1088/0305-4470/36/21/101}, author = {Caracciolo, Sergio and Gambassi, Andrea and Gubinelli, Massimiliano and Pelissetto, Andrea} } @Article { MR1967418, title = {Varieties of modules over tubular algebras}, journal = {Colloq. Math.}, year = {2003}, volume = {95}, number = {2}, pages = {163--183}, url = {https://doi.org/10.4064/cm95-2-2}, DOI = {10.4064/cm95-2-2}, author = {Geiss, Christof and Schr{\~A}¶er, Jan} } @Book { MR1963559, title = {Calabi-Yau manifolds and related geometries}, year = {2003}, pages = {viii+239}, note = {Lectures from the Summer School held in Nordfjordeid, June 2001}, url = {https://doi.org/10.1007/978-3-642-19004-9}, publisher = {Springer-Verlag, Berlin}, series = {Universitext}, ISBN = {3-540-44059-3}, DOI = {10.1007/978-3-642-19004-9}, author = {Gross, M. and Huybrechts, D. and Joyce, D.} } @Book { MR1950475, title = {Methods of homological algebra}, year = {2003}, pages = {xx+372}, url = {https://doi.org/10.1007/978-3-662-12492-5}, publisher = {Springer-Verlag, Berlin}, series = {Springer Monographs in Mathematics}, edition = {Second}, ISBN = {3-540-43583-2}, DOI = {10.1007/978-3-662-12492-5}, author = {Gelfand, Sergei I. and Manin, Yuri I.} } @Book { Griebel.Knapek.Zumbusch.ea:2003, title = {Numerische Simulation in der Molek{\~A}¼ldynamik. Numerik, Algorithmen, Parallelisierung, Anwendungen}, year = {2003}, publisher = {Springer}, address = {Berlin, Heidelberg}, author = {Griebel, M. and Knapek, S. and Zumbusch, G. and Caglar, A.} } @Incollection { MR2003437, title = {A particle-partition of unity method. IV. Parallelization}, year = {2003}, volume = {26}, pages = {161--192}, url = {https://doi.org/10.1007/978-3-642-56103-0_12}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations (Bonn, 2001)}, DOI = {10.1007/978-3-642-56103-0_12}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Incollection { MR2003437, title = {A particle-partition of unity method. IV. Parallelization}, year = {2003}, volume = {26}, pages = {161--192}, url = {https://doi.org/10.1007/978-3-642-56103-0_12}, publisher = {Springer, Berlin}, series = {Lect. Notes Comput. Sci. Eng.}, booktitle = {Meshfree methods for partial differential equations (Bonn, 2001)}, DOI = {10.1007/978-3-642-56103-0_12}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Incollection { MR2008354, title = {A particle-partition of unity method. V. Boundary conditions}, year = {2003}, pages = {519--542}, publisher = {Springer, Berlin}, booktitle = {Geometric analysis and nonlinear partial differential equations}, author = {Griebel, M. and Schweitzer, M. A.} } @Incollection { MR2008354, title = {A particle-partition of unity method. V. Boundary conditions}, year = {2003}, pages = {519--542}, publisher = {Springer, Berlin}, booktitle = {Geometric analysis and nonlinear partial differential equations}, author = {Griebel, M. and Schweitzer, M. A.} } @Inproceedings { Griebel.Jager.Voigt:2003, title = {Computing diffusion coefficients of intrinsic point defects in crystalline silicon}, year = {2003}, pages = {487--488}, editor = {D. Hui}, address = {College of Engineering, University of New Orleans}, booktitle = {ICCE-10}, organization = {International Community for Composites Engineering}, author = {Griebel, M. and Jager, L. and Voigt, A.} } @Inproceedings { Griebel.Hamaekers:2003*2, title = {Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites}, year = {2003}, pages = {213--214}, editor = {D. Hui}, address = {College of Engineering, University of New Orleans}, booktitle = {ICCE-10}, organization = {International Community for Composites Engineering}, author = {Griebel, M. and Hamaekers, J.} } @Inproceedings { Griebel.Koster:2003, title = {Multiscale Methods for the Simulation of Turbulent Flows}, year = {2003}, volume = {82}, pages = {203-214}, abstract = {In this paper we apply the finite difference method onadaptive sparse grids [griebel:98] to the simulation ofturbulent flows. This method combines the flexibility andefficiency of finite difference schemes with the advantagesof an adaptive approximation by tensor product multiscalebases. We shortly discuss the method. Then, we presentnumerical results for a simple linear convection problemfor a validation of our scheme. Finally, results forthree-dimensional turbulent shear layers are shown.}, editor = {E.H. Hirschel}, publisher = {Springer-Verlag}, series = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design}, booktitle = {Numerical Flow Simulation III}, author = {Griebel, M. and Koster, F.} } @Article { RN203, title = {A multiscale approach for modeling crystalline solids}, journal = {Journal of Computer-Aided Materials Design}, year = {2002}, volume = {8}, number = {2-3}, pages = {127-149}, url = {://WOS:000177293400005}, type = {Journal Article}, ISSN = {0928-1045}, author = {Cuitino, A. M. and Stainier, L. and Wang, G. F. and Strachan, A. and Cagin, T. and Goddard, W. A. and Ortiz, M.} } @Article { MR1885078, title = {A particle-partition of unity method. II. Efficient cover construction and reliable integration}, journal = {SIAM J. Sci. Comput.}, year = {2002}, volume = {23}, number = {5}, pages = {1655--1682}, url = {https://doi.org/10.1137/S1064827501391588}, DOI = {10.1137/S1064827501391588}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR1885078, title = {A particle-partition of unity method. II. Efficient cover construction and reliable integration}, journal = {SIAM J. Sci. Comput.}, year = {2002}, volume = {23}, number = {5}, pages = {1655--1682}, url = {https://doi.org/10.1137/S1064827501391588}, DOI = {10.1137/S1064827501391588}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR1951047, title = {A particle-partition of unity method. III. A multilevel solver}, journal = {SIAM J. Sci. Comput.}, year = {2002}, volume = {24}, number = {2}, pages = {377--409}, url = {https://doi.org/10.1137/S1064827501395252}, DOI = {10.1137/S1064827501395252}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR1951047, title = {A particle-partition of unity method. III. A multilevel solver}, journal = {SIAM J. Sci. Comput.}, year = {2002}, volume = {24}, number = {2}, pages = {377--409}, url = {https://doi.org/10.1137/S1064827501395252}, DOI = {10.1137/S1064827501395252}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR1953743, title = {A remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras}, journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.}, year = {2002}, volume = {5}, number = {4}, pages = {571--579}, url = {https://doi.org/10.1142/S0219025702001012}, DOI = {10.1142/S0219025702001012}, author = {Albeverio, Sergio and Goswami, Debashish} } @Article { MR1949487, title = {Asymptotic behaviour (t{\^a}??\textbackslash!+\textbackslash 0) of the interface for the critical case of undercooled Stefan problem}, journal = {Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.}, year = {2002}, volume = {13}, number = {2}, pages = {143--148}, author = {G{\~A}¶tz, Ivan G. and Primicerio, Mario and Vel{\~A}¡zquez, Juan J. L.} } @Article { MR1891841, title = {Asymptotic completeness for Rayleigh scattering}, journal = {Ann. Henri Poincar{\~A}©}, year = {2002}, volume = {3}, number = {1}, pages = {107--170}, url = {https://doi.org/10.1007/s00023-002-8614-9}, DOI = {10.1007/s00023-002-8614-9}, author = {Fr{\~A}¶hlich, J. and Griesemer, M. and Schlein, B.} } @Article { Garcke.Griebel:2002, title = {Classification with sparse grids using simplicial basis functions}, journal = {Intelligent Data Analysis}, year = {2002}, volume = {6}, number = {6}, pages = {483--502}, note = {(shortened version appeared in KDD 2001, Proc. of the Seventh ACM SIGKDD, F. Provost and R. Srikant (eds.), pages 87-96, ACM, 2001)}, author = {Garcke, J. and Griebel, M.} } @Article { Garcke.Griebel:2002, title = {Classification with sparse grids using simplicial basis functions}, journal = {Intelligent Data Analysis}, year = {2002}, volume = {6}, number = {6}, pages = {483--502}, note = {(shortened version appeared in KDD 2001, Proc. of the Seventh ACM SIGKDD, F. Provost and R. Srikant (eds.), pages 87-96, ACM, 2001)}, author = {Garcke, J. and Griebel, M.} } @Article { MR1911826, title = {Concentration of low energy extremals: identification of concentration points}, journal = {Calc. Var. Partial Differential Equations}, year = {2002}, volume = {14}, number = {4}, pages = {483--516}, url = {https://doi.org/10.1007/s005260100112}, DOI = {10.1007/s005260100112}, author = {Flucher, M. and Garroni, A. and M{\~A}¼ller, S.} } @Article { MR1942314, title = {Convex decompositions in the plane and continuous pair colorings of the irrationals}, journal = {Israel J. Math.}, year = {2002}, volume = {131}, pages = {285--317}, url = {https://doi.org/10.1007/BF02785863}, DOI = {10.1007/BF02785863}, author = {Geschke, S. and Kojman, M. and Kubis, W. and Schipperus, R.} } @Article { MR1908910, title = {Convexity numbers of closed sets in \textbackslashBbb R\verb=^=n}, journal = {Proc. Amer. Math. Soc.}, year = {2002}, volume = {130}, number = {10}, pages = {2871--2881}, url = {https://doi.org/10.1090/S0002-9939-02-06437-7}, DOI = {10.1090/S0002-9939-02-06437-7}, author = {Geschke, Stefan and Kojman, Menachem} } @Article { MR1912261, title = {Correctors and error estimates in the homogenization of a Mullins-Sekerka problem}, journal = {Ann. Inst. H. Poincar{\~A}© Anal. Non Lin{\~A}©aire}, year = {2002}, volume = {19}, number = {4}, pages = {371--393}, url = {https://doi.org/10.1016/S0294-1449(01)00085-3}, DOI = {10.1016/S0294-1449(01)00085-3}, author = {Garroni, Adriana and Niethammer, Barbara} } @Article { MR1903384, title = {Folding energetics in thin-film diaphragms}, journal = {R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.}, year = {2002}, volume = {458}, number = {2021}, pages = {1223--1229}, url = {https://doi.org/10.1098/rspa.2001.0921}, DOI = {10.1098/rspa.2001.0921}, author = {Gioia, G. and DeSimone, A. and Ortiz, M. and Cuiti{\~A}±o, A. M.} } @Article { RN195, title = {Folding energetics in thin-film diaphragms}, journal = {Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences}, year = {2002}, volume = {458}, number = {2021}, pages = {1223-1229}, url = {://WOS:000175395300011}, type = {Journal Article}, ISSN = {1364-5021}, author = {Gioia, G. and DeSimone, A. and Ortiz, M. and Cuitino, A. M.} } @Article { MR1943903, title = {Local intersection cohomology of Baily-Borel compactifications}, journal = {Compositio Math.}, year = {2002}, volume = {134}, number = {3}, pages = {243--268}, url = {https://doi.org/10.1023/A:1020995202727}, DOI = {10.1023/A:1020995202727}, author = {Goresky, M. and Harder, G. and MacPherson, R. and Nair, A.} } @Article { MR1911735, title = {Metastability and low lying spectra in reversible Markov chains}, journal = {Comm. Math. Phys.}, year = {2002}, volume = {228}, number = {2}, pages = {219--255}, url = {https://doi.org/10.1007/s002200200609}, DOI = {10.1007/s002200200609}, author = {Bovier, Anton and Eckhoff, Michael and Gayrard, V{\~A}©ronique and Klein, Markus} } @Article { Frankland.Caglar.Brenner.ea:2002, title = {Molecular simulation of the influence of chemical crosslinks on the shear strength of carbon nanotube-polymer interfaces}, journal = {Journal of Physical Chemistry B}, year = {2002}, volume = {106}, number = {12}, pages = {3046--3048}, author = {Frankland, S. J. V. and Caglar, A. and Brenner, D. W. and Griebel, M.} } @Article { MR1944550, title = {On the L\(^{2}\)-Stokes theorem and Hodge theory for singular algebraic varieties}, journal = {Math. Nachr.}, year = {2002}, volume = {246/247}, pages = {68--82}, url = {https://doi.org/10.1002/1522-2616(200212)246:1<68::AID-MANA68>3.0.CO;2-Y}, DOI = {10.1002/1522-2616(200212)246:1<68::AID-MANA68>3.0.CO;2-Y}, author = {Grieser, Daniel and Lesch, Matthias} } @Article { MR1901734, title = {On tightly {\^I}º-filtered Boolean algebras}, journal = {Algebra Universalis}, year = {2002}, volume = {47}, number = {1}, pages = {69--93}, url = {https://doi.org/10.1007/s00012-002-8176-1}, DOI = {10.1007/s00012-002-8176-1}, author = {Geschke, Stefan} } @Article { MR1902454, title = {Phase space Feynman path integrals}, journal = {J. Math. Phys.}, year = {2002}, volume = {43}, number = {6}, pages = {2847--2857}, url = {https://doi.org/10.1063/1.1470705}, DOI = {10.1063/1.1470705}, author = {Albeverio, S. and Guatteri, G. and Mazzucchi, S.} } @Article { MR1936943, title = {Recursive generation of partitionable graphs}, journal = {J. Graph Theory}, year = {2002}, volume = {41}, number = {4}, pages = {259--285}, url = {https://doi.org/10.1002/jgt.10067}, DOI = {10.1002/jgt.10067}, author = {Boros, E. and Gurvich, V. and Hougardy, S.} } @Article { MR1909563, title = {Representing Euclidean quantum fields as scaling limit of particle systems}, journal = {J. Statist. Phys.}, year = {2002}, volume = {108}, number = {1-2}, pages = {361--369}, url = {https://doi.org/10.1023/A:1015456005923}, DOI = {10.1023/A:1015456005923}, author = {Albeverio, Sergio and Gottschalk, Hanno and Yoshida, Minoru W.} } @Article { Gachter2002a, title = {Reputation and Reciprocity: Consequences for the Labour Relation}, journal = {Scand. J. Econ.}, year = {2002}, volume = {104}, number = {1}, pages = {1--26}, abstract = {Recent evidence highlights the importance of social norms in many economic relations. However, many of these relationships are long term and provide repeated game incentives for performance. We experimentally investigate interaction effects of reciprocity and repeated game incentives in two treatments (one-shot and repeated) of a gift-exchange game. In both treatments we observe reciprocity, which is strengthened in the repeated game. A detailed analysis shows that, in the repeated game, some subjects imitate reciprocity. Thus, reciprocity and repeated game incentives reinforce each other. Observed behaviour is robust against experience. We conclude that long-term interaction is a ''reciprocity-compatible'' contract enforcement device.}, keywords = {c 91,cation,incomplete contracts,j 30,jel classi,reciprocity,repeated games,reputation}, ISBN = {0347-0520}, ISSN = {03470520}, DOI = {10.2307/3441139}, author = {G{\~A}¤chter, Simon and Falk, Armin} } @Article { MR1912628, title = {Steiner trees in uniformly quasi-bipartite graphs}, journal = {Inform. Process. Lett.}, year = {2002}, volume = {83}, number = {4}, pages = {195--200}, url = {https://doi.org/10.1016/S0020-0190(01)00335-0}, DOI = {10.1016/S0020-0190(01)00335-0}, author = {Gr{\~A}¶pl, Clemens and Hougardy, Stefan and Nierhoff, Till and Pr{\~A}¶mel, Hans J{\~A}¼rgen} } @Article { MR1892850, title = {The Gibbs ensemble of a vortex filament}, journal = {Probab. Theory Related Fields}, year = {2002}, volume = {122}, number = {3}, pages = {317--340}, url = {https://doi.org/10.1007/s004400100163}, DOI = {10.1007/s004400100163}, author = {Flandoli, Franco and Gubinelli, Massimiliano} } @Book { MR1959641, title = {Einf{\~A}¼hrung in die Computergraphik}, year = {2002}, pages = {xiv+302+xxiv}, note = {Grundlagen, Geometrische Modellierung, Algorithmen. [Foundations, geometric modeling, algorithms]}, url = {https://doi.org/10.1007/978-3-663-01614-4}, publisher = {Friedr. Vieweg \& Sohn, Braunschweig}, series = {Mathematische Grundlagen der Informatik. [Mathematical Foundations of Computer Science]}, edition = {Second}, ISBN = {3-528-16769-6}, DOI = {10.1007/978-3-663-01614-4}, author = {Bungartz, Hans-Joachim and Griebel, Michael and Zenger, Christoph} } @Incollection { MR2008981, title = {A finite volume scheme for surfactant driven thin film flow}, year = {2002}, pages = {553--560}, publisher = {Hermes Sci. Publ., Paris}, booktitle = {Finite volumes for complex applications, III (Porquerolles, 2002)}, author = {Gr{\~A}¼n, G{\~A}¼nther and Lenz, Martin and Rumpf, Martin} } @Incollection { MR1971993, title = {A Stokes-like system for mixtures}, year = {2002}, volume = {2}, pages = {119--136}, url = {https://doi.org/10.1007/978-1-4615-0701-7_7}, publisher = {Kluwer/Plenum, New York}, series = {Int. Math. Ser. (N. Y.)}, booktitle = {Nonlinear problems in mathematical physics and related topics, II}, DOI = {10.1007/978-1-4615-0701-7_7}, author = {Frehse, Jens and Goj, Sonja and M{\~A}¡lek, Josef} } @Incollection { MR1950041, title = {Applications of elementary submodels in general topology}, journal = {Synthese}, year = {2002}, volume = {133}, number = {1-2}, pages = {31--41}, note = {Foundations of the formal sciences, 1 (Berlin, 1999)}, url = {https://doi.org/10.1023/A:1020819407308}, DOI = {10.1023/A:1020819407308}, author = {Geschke, Stefan} } @Incollection { MR1948194, title = {Numerical methods for fourth order nonlinear degenerate diffusion problems}, journal = {Appl. Math.}, year = {2002}, volume = {47}, number = {6}, pages = {517--543}, note = {Mathematical theory in fluid mechanics (Paseky, 2001)}, url = {https://doi.org/10.1023/B:APOM.0000034537.55985.44}, DOI = {10.1023/B:APOM.0000034537.55985.44}, author = {Becker, J{\~A}¼rgen and Gr{\~A}¼n, G{\~A}¼nther and Lenz, Martin and Rumpf, Martin} } @Incollection { MR1919500, title = {SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix}, year = {2002}, volume = {227}, pages = {21--38}, publisher = {Dekker, New York}, series = {Lecture Notes in Pure and Appl. Math.}, booktitle = {Stochastic partial differential equations and applications (Trento, 2002)}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Inproceedings { Gerstner.Meetschen.Crewell.Griebel.Simmer:2002, title = {A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements}, year = {2002}, pages = {533--536}, note = {(also as SFB 256 report 45, University of Bonn, 2001)}, editor = {Pfister, H. and Bailey, M.}, publisher = {IEEE Computer Society Press}, booktitle = {Proceedings IEEE Visualization 2002}, author = {Gerstner, T. and Meetschen, D. and Crewell, S. and Griebel, M. and Simmer, C.} } @Inproceedings { Griebel.Zumbusch:2002, title = {Hash based adaptive parallel multilevel methods with space-filling curves}, year = {2002}, volume = {9}, pages = {479--492}, abstract = {The solution of partial differential equations on aparallel computer usually follows the data parallelparadigm. The grid is partitioned and mapped onto theprocessors. In this paper a parallelisable and cheap methodbased on space-filling curves is proposed. The partitioningis embedded into the parallel solution algorithm usingmultilevel iterative solvers and adaptive grid refinement.Numerical experiments on two massively parallel computersprove the efficiency of this approach.}, editor = {Horst Rollnik and Dietrich Wolf}, publisher = {Forschungszentrum J{\~A}¼lich}, address = {Germany}, series = {NIC Series, ISBN 3-00-009055-X}, booktitle = {NIC Symposium 2001}, author = {Griebel, M. and Zumbusch, G.} } @Article { MR1878286, title = {Asymptotic electromagnetic fields in models of quantum-mechanical matter interacting with the quantized radiation field}, journal = {Adv. Math.}, year = {2001}, volume = {164}, number = {2}, pages = {349--398}, url = {https://doi.org/10.1006/aima.2001.2026}, DOI = {10.1006/aima.2001.2026}, author = {Fr{\~A}¶hlich, J. and Griesemer, M. and Schlein, B.} } @Article { MR1872655, title = {Data mining with sparse grids}, journal = {Computing}, year = {2001}, volume = {67}, number = {3}, pages = {225--253}, url = {https://doi.org/10.1007/s006070170007}, DOI = {10.1007/s006070170007}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Article { MR1872655, title = {Data mining with sparse grids}, journal = {Computing}, year = {2001}, volume = {67}, number = {3}, pages = {225--253}, url = {https://doi.org/10.1007/s006070170007}, DOI = {10.1007/s006070170007}, author = {Garcke, J. and Griebel, M. and Thess, M.} } @Article { MR1845795, title = {Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane}, journal = {Lett. Math. Phys.}, year = {2001}, volume = {55}, number = {1}, pages = {9--16}, url = {https://doi.org/10.1023/A:1010943228970}, DOI = {10.1023/A:1010943228970}, author = {Albeverio, S. A. and Exner, P. and Geyler, V. A.} } @Article { MR1813041, title = {Metastability in stochastic dynamics of disordered mean-field models}, journal = {Probab. Theory Related Fields}, year = {2001}, volume = {119}, number = {1}, pages = {99--161}, url = {https://doi.org/10.1007/PL00012740}, DOI = {10.1007/PL00012740}, author = {Bovier, Anton and Eckhoff, Michael and Gayrard, V{\~A}©ronique and Klein, Markus} } @Article { MR1928725, title = {On the Markovian behavior of p-adic random dynamical systems}, journal = {Russ. J. Math. Phys.}, year = {2001}, volume = {8}, number = {2}, pages = {135--152}, author = {Albeverio, S. and Gundlach, M. and Khrennikov, A. and Lindahl, K.-O.} } @Article { MR1857892, title = {On the paths H{\~A}¶lder continuity in models of Euclidean quantum field theory}, journal = {Stochastic Anal. Appl.}, year = {2001}, volume = {19}, number = {5}, pages = {677--702}, url = {https://doi.org/10.1081/SAP-120000217}, DOI = {10.1081/SAP-120000217}, author = {Albeverio, Sergio and Gielerak, Roman and Russo, Francesco} } @Article { MR1846760, title = {On the weak Freese-Nation property of complete Boolean algebras}, journal = {Ann. Pure Appl. Logic}, year = {2001}, volume = {110}, number = {1-3}, pages = {89--105}, url = {https://doi.org/10.1016/S0168-0072(01)00023-9}, DOI = {10.1016/S0168-0072(01)00023-9}, author = {Fuchino, Saka{\~A}© and Geschke, Stefan and Shelah, Saharon and Soukup, Lajos} } @Article { MR1854894, title = {On the weak Freese-Nation property of \{P({\"I}?)\}}, journal = {Arch. Math. Logic}, year = {2001}, volume = {40}, number = {6}, pages = {425--435}, url = {https://doi.org/10.1007/PL00003847}, DOI = {10.1007/PL00003847}, author = {Fuchino, Saka{\~A}© and Geschke, Stefan and Soukup, Lajos} } @Article { MR1815715, title = {Scattering theory for quantum fields with indefinite metric}, journal = {Comm. Math. Phys.}, year = {2001}, volume = {216}, number = {3}, pages = {491--513}, url = {https://doi.org/10.1007/s002200000332}, DOI = {10.1007/s002200000332}, author = {Albeverio, Sergio and Gottschalk, Hanno} } @Article { MR1851596, title = {Separability of rank two quantum states}, journal = {Phys. Lett. A}, year = {2001}, volume = {286}, number = {2-3}, pages = {91--96}, url = {https://doi.org/10.1016/S0375-9601(01)00413-3}, DOI = {10.1016/S0375-9601(01)00413-3}, author = {Albeverio, Sergio and Fei, Shao-Ming and Goswami, Debashish} } @Article { MR1853754, title = {Stochastic dynamics of fluctuations in classical continuous systems}, journal = {J. Funct. Anal.}, year = {2001}, volume = {185}, number = {1}, pages = {129--154}, url = {https://doi.org/10.1006/jfan.2001.3747}, DOI = {10.1006/jfan.2001.3747}, author = {Albeverio, Sergio and Grothaus, Martin and Kondratiev, Yuri G. and R{\~A}¶ckner, Michael} } @Article { MR1805080, title = {The Cahn-Hilliard equation with elasticity---finite element approximation and qualitative studies}, journal = {Interfaces Free Bound.}, year = {2001}, volume = {3}, number = {1}, pages = {101--118}, url = {https://doi.org/10.4171/IFB/34}, DOI = {10.4171/IFB/34}, author = {Garcke, Harald and Rumpf, Martin and Weikard, Ulrich} } @Article { Boeker.Wittkowski.Wallenfang.ea:2001, title = {Tracermessungen zur Validierung von Geruchsmodellen}, journal = {Landtechnik-net}, year = {2001}, volume = {2}, note = {refereed electronical journal}, author = {Boeker, P. and Wittkowski, M. and Wallenfang, O. and Koster, F. and Griebel, M. and Diekmann, B. and Schulze-Lammers, P.} } @Article { Boeker.Koster.Croce.Griebel.ea:2001, title = {Tracerverfahren zur Validierung von Ausbreitungsmodellen f{\~A}¼r Geruchsemissionen}, journal = {Agrartechnische Forschung, Landtechnik-net}, year = {2001}, pages = {92--97}, note = {refereed electronical journal}, author = {Boeker, P. and Wittkowski, M. and Wallenfang, O. and Koster, F. and Croce, R. and Griebel, M. and Diekmann, B. and Schulze-Lammers, P.} } @Incollection { MR1886029, title = {Adaptive wavelet methods for the Navier-Stokes equations}, year = {2001}, volume = {75}, pages = {303--318}, publisher = {Springer, Berlin}, series = {Notes Numer. Fluid Mech.}, booktitle = {Numerical flow simulation, II}, author = {Schneider, K. and Farge, M. and Koster, F. and Griebel, M.} } @Incollection { MR1945815, title = {Approximation algorithms for the Steiner tree problem in graphs}, year = {2001}, volume = {11}, pages = {235--279}, url = {https://doi.org/10.1007/978-1-4613-0255-1_7}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {Comb. Optim.}, booktitle = {Steiner trees in industry}, DOI = {10.1007/978-1-4613-0255-1_7}, author = {Gr{\~A}¶pl, Clemens and Hougardy, Stefan and Nierhoff, Till and Pr{\~A}¶mel, Hans J{\~A}¼rgen} } @Incollection { MR1905634, title = {Lower bounds for approximation algorithms for the Steiner tree problem}, year = {2001}, volume = {2204}, pages = {217--228}, url = {https://doi.org/10.1007/3-540-45477-2_20}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Graph-theoretic concepts in computer science (Boltenhagen, 2001)}, DOI = {10.1007/3-540-45477-2_20}, author = {Gr{\~A}¶pl, Clemens and Hougardy, Stefan and Nierhoff, Till and Pr{\~A}¶mel, Hans J{\~A}¼rgen} } @Incollection { MR1914097, title = {On computational power of quantum branching programs}, year = {2001}, volume = {2138}, pages = {59--70}, url = {https://doi.org/10.1007/3-540-44669-9_8}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Fundamentals of computation theory (Riga, 2001)}, DOI = {10.1007/3-540-44669-9_8}, author = {Ablayev, Farid and Gainutdinova, Aida and Karpinski, Marek} } @Incollection { MR1936040, title = {Simulation of singularities and instabilities arising in thin film flow}, journal = {European J. Appl. Math.}, year = {2001}, volume = {12}, number = {3}, pages = {293--320}, note = {The dynamics of thin fluid films}, url = {https://doi.org/10.1017/S0956792501004429}, DOI = {10.1017/S0956792501004429}, author = {Gr{\~A}¼n, G{\~A}¼nther and Rumpf, Martin} } @Inproceedings { Garcke.Griebel:2001, title = {Data mining with sparse grids using simplicial basis functions}, year = {2001}, pages = {87--96}, note = {also as SFB 256 Preprint 713, Universit{\~A}¤t Bonn, 2001}, editor = {F. Provost and R. Srikant}, booktitle = {Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, USA}, author = {Garcke, J. and Griebel, M.} } @Inproceedings { Garcke.Griebel:2001, title = {Data mining with sparse grids using simplicial basis functions}, year = {2001}, pages = {87--96}, note = {also as SFB 256 Preprint 713, Universit{\~A}¤t Bonn, 2001}, editor = {F. Provost and R. Srikant}, booktitle = {Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, USA}, author = {Garcke, J. and Griebel, M.} } @Inproceedings { Garcke.Griebel:2001*1, title = {On the parallelization of the sparse grid approach for data mining}, year = {2001}, volume = {2179}, pages = {22-32}, note = {also as SFB 256 Preprint 721, Universit{\~A}¤t Bonn, 2001}, editor = {S. Margenov and J. Wasniewski and P. Yalamov}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, booktitle = {Large-Scale Scientific Computations, Third International Conference, LSSC 2001, Sozopol, Bulgaria}, author = {Garcke, J. and Griebel, M.} } @Inproceedings { Garcke.Griebel:2001*1, title = {On the parallelization of the sparse grid approach for data mining}, year = {2001}, volume = {2179}, pages = {22-32}, note = {also as SFB 256 Preprint 721, Universit{\~A}¤t Bonn, 2001}, editor = {S. Margenov and J. Wasniewski and P. Yalamov}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, booktitle = {Large-Scale Scientific Computations, Third International Conference, LSSC 2001, Sozopol, Bulgaria}, author = {Garcke, J. and Griebel, M.} } @Inproceedings { Wallenfang.Boeker.Koster.ea:2001, title = {Zeitaufl{\~A}¶sendes Ausbreitungsmodell f{\~A}¼r Geruchsemissionen}, year = {2001}, pages = {86--91}, address = {Hohenheim}, booktitle = {Proceedings: 5. Int. Tagung Bau, Technik und Umwelt}, author = {Wallenfang, O. and Boeker, P. and Koster, F. and Croce, R. and Griebel, M. and Diekmann, B. and Schulze-Lammers, P.} } @Techreport { Griebel.Kiefer:2001, title = {Generalized Hierarchical Basis Multigrid Methods for Convection-Diffusion Problems}, year = {2001}, abstract = {We consider the efficient solution of discreteconvection-diffusion problems with dominating convection.It is well known that the standard hierarchical basismultigrid method (HBMG) leads neither to optimal (w.r.t.mesh size) nor to robust solvers for discrete operatorsarising from singularly perturbed convection-diffusionproblems. Its performance is strongly dependent on thecoefficients in the differential equation (e.g. strength ofconvection) \textbackslashem and\textbackslash, the mesh size. (Pre-)Waveletsplittings of the underlying function spaces allow forefficient algorithms which can be viewed as generalizedHBMG methods. They can be interpreted as ordinary multigridmethods which employ a special kind of multiscale smootherand show an optimal convergence behavior for the respectivenon-perturbed equations similar to classical multigrid.Here, we present a general Petrov--Galerkin multiscaleapproach which makes use of problem-dependent coarseningstrategies known from robust multigrid techniques(matrix-dependent prolongations, algebraic coarsening)together with certain (pre-)wavelet-like and hierarchicalmultiscale decompositions of the trial and test spaces onthe finest grid. The presented numerical results show thatby this choice generalized HBMG methods can be constructedwhich result in robust yet efficient solvers.}, institution = {Sonderforschungsbereich 256, Institut f{\~A}¼r Angewandte Mathematik, Universit{\~A}¤t Bonn}, type = {SFB Preprint 720}, author = {Griebel, M. and Kiefer, F.} } @Article { MR1785338, title = {A particle-partition of unity method for the solution of elliptic, parabolic, and hyperbolic PDEs}, journal = {SIAM J. Sci. Comput.}, year = {2000}, volume = {22}, number = {3}, pages = {853--890}, url = {https://doi.org/10.1137/S1064827599355840}, DOI = {10.1137/S1064827599355840}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { MR1785338, title = {A particle-partition of unity method for the solution of elliptic, parabolic, and hyperbolic PDEs}, journal = {SIAM J. Sci. Comput.}, year = {2000}, volume = {22}, number = {3}, pages = {853--890}, url = {https://doi.org/10.1137/S1064827599355840}, DOI = {10.1137/S1064827599355840}, author = {Griebel, Michael and Schweitzer, Marc Alexander} } @Article { RN221, title = {A virtual, test facility for simulating the dynamic response of materials}, journal = {Computing in Science \& Engineering}, year = {2000}, volume = {2}, number = {2}, pages = {42-53}, url = {://WOS:000085643500008}, type = {Journal Article}, ISSN = {1521-9615}, DOI = {Doi 10.1109/5992.825748}, author = {Aivazis, M. and Goddard, W. A. and Meiron, D. and Ortiz, M. and Pool, J. and Shepherd, J.} } @Article { MR1828556, title = {Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact abelian groups}, journal = {Acta Appl. Math.}, year = {2000}, volume = {64}, number = {1}, pages = {33--73}, url = {https://doi.org/10.1023/A:1006457731833}, DOI = {10.1023/A:1006457731833}, author = {Albeverio, S. and Gordon, E. I. and Khrennikov, A. Yu.} } @Article { MR1804034, title = {Metastability and small eigenvalues in Markov chains}, journal = {J. Phys. A}, year = {2000}, volume = {33}, number = {46}, pages = {L447--L451}, url = {https://doi.org/10.1088/0305-4470/33/46/102}, DOI = {10.1088/0305-4470/33/46/102}, author = {Bovier, Anton and Eckhoff, Michael and Gayrard, V{\~A}©ronique and Klein, Markus} } @Article { MR1800156, title = {Nonnegativity preserving convergent schemes for the thin film equation}, journal = {Numer. Math.}, year = {2000}, volume = {87}, number = {1}, pages = {113--152}, url = {https://doi.org/10.1007/s002110000197}, DOI = {10.1007/s002110000197}, author = {Gr{\~A}¼n, G{\~A}¼nther and Rumpf, Martin} } @Article { MR1807302, title = {On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique}, journal = {J. Comput. Phys.}, year = {2000}, volume = {165}, number = {2}, pages = {694--716}, url = {https://doi.org/10.1006/jcph.2000.6627}, DOI = {10.1006/jcph.2000.6627}, author = {Garcke, Jochen and Griebel, Michael} } @Article { MR1807302, title = {On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique}, journal = {J. Comput. Phys.}, year = {2000}, volume = {165}, number = {2}, pages = {694--716}, url = {https://doi.org/10.1006/jcph.2000.6627}, DOI = {10.1006/jcph.2000.6627}, author = {Garcke, Jochen and Griebel, Michael} } @Article { MR1771694, title = {Optimized tensor-product approximation spaces}, journal = {Constr. Approx.}, year = {2000}, volume = {16}, number = {4}, pages = {525--540}, url = {https://doi.org/10.1007/s003650010010}, DOI = {10.1007/s003650010010}, author = {Griebel, M. and Knapek, S.} } @Article { MR1755243, title = {Partly divisible probability measures on locally compact abelian groups}, journal = {Math. Nachr.}, year = {2000}, volume = {213}, pages = {5--15}, url = {https://doi.org/10.1002/(SICI)1522-2616(200005)213:1<5::AID-MANA5>3.3.CO;2-H}, DOI = {10.1002/(SICI)1522-2616(200005)213:1<5::AID-MANA5>3.3.CO;2-H}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Article { Griebel.Zumbusch:2000*1, title = {Preface}, journal = {Computing}, year = {2000}, volume = {64}, number = {4}, pages = {287}, abstract = {In October 1998 the tenth workshop in a series of biannualGAMM seminars on multigrid methods was held. Almost twodecades have passed since the first one, and the topics ofthe seminars provide a good insight into the progressduring this period. The series began in the former GDR andis nowadays organised in cooperation with theGAMM-Committees for {\^a}??Discretization Methods in SolidMechanics{\^a}?? and {\^a}??Efficient Numerical Methods for PDEs{\^a}??.As this was the tenth anniversary of the series, the rathergeneral title was chosen {\^a}??International GAMM-Workshop onMultigrid Methods{\^a}??...}, note = {(guest editors) special issue multigrid methods}, publisher = {Springer}, address = {Vienna, Austria}, author = {Griebel, M. and W. Zumbusch, G.} } @Article { MR1748169, title = {The band structure of the general periodic Schr{\~A}¶dinger operator with point interactions}, journal = {Comm. Math. Phys.}, year = {2000}, volume = {210}, number = {1}, pages = {29--48}, url = {https://doi.org/10.1007/s002200050771}, DOI = {10.1007/s002200050771}, author = {Albeverio, S. and Geyler, V. A.} } @Article { Boeker.Wallenfang.Koster.ea:2000, title = {The Modelling of Odour Dispersion with Time-Resolved Models}, journal = {Agrartechnische Forschung}, year = {2000}, volume = {4}, pages = {E84-E89}, abstract = {In connection with the methods used so far, thiscontribution describes a new approach for the modelling ofodour dispersion. Using the aid of example cases, themethodology of odour prognosis with different approaches isexplained, and their advantages and disadvantages as wellas their limitations are discussed. Particular attention isgiven to close-range dispersion from odour emission sourceswith low source heights and a complex fluidic environment.Typical examples of such cases are agricultural sources orbiological processing plants (composting, sewage treatmentplants). The new dispersion model is a further developmentof the NaSt3D model with two variants of improveddispersion modelling, an advection-diffusion approach(Euler model) and a Lagrange-particle model. This model isable to conduct time-resolved calculations of flows anddispersion and hence allows the question of concentrationfluctuation, which is important for odour phenomena, to beintegrated into the model. The parallelizing of thecomputer code enables terrain- and source configurationswhich have been too complex thus far to be calculated in afine division of the calculation grid. At present, computerclusters and high-performance computers can be used forthis purpose in anticipation of the fast furtherdevelopment of efficient personal computers. Theconsistently analytical approach avoids empirical modelsupplements with adaptation parameters, such as theotherwise necessary models of exceeding probability, andcan thus be calibrated on a physical basis.}, note = {refereed electronical journal}, author = {Boeker, P. and Wallenfang, O. and Koster, F. and Croce, R. and Diekmann, B. and Griebel, M. and Schulze-Lammers, P.} } @Article { RN219, title = {Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel}, journal = {International Journal of Solids and Structures}, year = {2000}, volume = {37}, number = {27}, pages = {3733-3760}, url = {://WOS:000086636500005}, type = {Journal Article}, ISSN = {0020-7683}, DOI = {Doi 10.1016/S0020-7683(99)00155-9}, author = {Pandolfi, A. and Guduru, P. R. and Ortiz, M. and Rosakis, A. J.} } @Article { RN222, title = {Triangular composite finite elements}, journal = {International Journal for Numerical Methods in Engineering}, year = {2000}, volume = {47}, number = {1-3}, pages = {287-316}, url = {://WOS:000084864500015}, type = {Journal Article}, ISSN = {0029-5981}, DOI = {Doi 10.1002/(Sici)1097-0207(20000110/30)47:1/3<287::Aid-Nme772>3.0.Co;2-M}, author = {Guo, Y. and Ortiz, M. and Belytschko, T. and Repetto, E. A.} } @Article { Griebel.Kiefer.Zumbusch:2000, title = {Vorg{\~A}¤nge m{\~A}¶glichst realit{\~A}¤tsnah simulieren. Wissenschaftliches Rechnen als neue Dimension in der Forschung}, journal = {Bonner Universit{\~A}¤tsnachrichten}, year = {2000}, volume = {217}, pages = {48--49}, abstract = {Computer werden immer schneller und leistungsf{\~A}¤higer. Das gilt nicht nur f{\~A}¼r den Personalcomputer im B{\~A}¼ro, sondern auch f{\~A}¼r die weltweit schnellsten Hochleistungs-Parallellrechner, die heute schon mehr als eine Billion Rechen-Operationen in nur einer Sekunde ausf{\~A}¼hren k{\~A}¶nnen. Insbesondere durch sie hat sich mit dem Wissenschaftlichen Rechnen und der Numerischen Simulation in den Naturwissenschaften neben dem traditionellen praktischen Weg (Experiment und Beobachtung) und dem theoretischen Ansatz (mathematische Formulierung) ein vielversprechender dritter Weg herausgebildet, um die Wirklichkeit zu beschreiben. In Bonn arbeiten die Spezialisten dieses Fachgebiets in der Abteilung f{\~A}¼r Wissenschaftliches Rechnen und Numerische Simulation im Institut f{\~A}¼r Angewandte Mathematik.}, note = {also as `Simulating Processes as Realistically as Possible', Bonn University News International (BUNI), 7:28--29, November 2000}, address = {Bonn, Germany}, author = {Griebel, M. and Kiefer, F. and Zumbusch, G.} } @Incollection { MR1863210, title = {Adaptive wavelet solvers for the unsteady incompressible Navier-Stokes equations}, year = {2000}, pages = {67--118}, publisher = {Springer, Berlin}, booktitle = {Advances in mathematical fluid mechanics (Paseky, 1999)}, author = {Griebel, Michael and Koster, Frank} } @Incollection { MR1744961, title = {Classical and elliptic polylogarithms and special values of L-series}, year = {2000}, volume = {548}, pages = {561--615}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {NATO Sci. Ser. C Math. Phys. Sci.}, booktitle = {The arithmetic and geometry of algebraic cycles (Banff, AB, 1998)}, author = {Zagier, Don and Gangl, Herbert} } @Incollection { MR1796064, title = {On the construction of asymptotic states for some relativistic interacting quantum field models with indefinite metric}, year = {2000}, pages = {261--269}, publisher = {World Sci. Publ., River Edge, NJ}, booktitle = {Quantum theory and symmetries (Goslar, 1999)}, author = {Albeverio, Sergio and Gottschalk, Hanno} } @Incollection { MR1764193, title = {Parallel adaptive subspace correction schemes with applications to elasticity}, journal = {Comput. Methods Appl. Mech. Engrg.}, year = {2000}, volume = {184}, number = {2-4}, pages = {303--332}, note = {Vistas in domain decomposition and parallel processing in computational mechanics}, url = {https://doi.org/10.1016/S0045-7825(99)00233-9}, DOI = {10.1016/S0045-7825(99)00233-9}, author = {Griebel, Michael and Zumbusch, Gerhard} } @Incollection { MR1744293, title = {Triangular composite finite elements}, journal = {Internat. J. Numer. Methods Engrg.}, year = {2000}, volume = {47}, number = {1-3}, pages = {287--316}, note = {Richard H. Gallagher Memorial Issue}, url = {https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.3.CO;2-D}, DOI = {10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.3.CO;2-D}, author = {Guo, Yong and Ortiz, Michael and Belytschko, Ted and Repetto, Eduardo A.} } @Inproceedings { Koster.Schneider.Griebel.ea:2000, title = {Adaptive wavelet methods for the Navier-Stokes equations}, year = {2000}, editor = {E.H. Hirschel}, publisher = {Vieweg-Verlag, Braunschweig}, booktitle = {DFG/CNRS Workshop, Berlin, 1999, Notes on Numerical Fluid Mechanics}, author = {Koster, F. and Schneider, K. and Griebel, M. and Farge, M.} } @Inproceedings { Griebel:2000, title = {Es ist nicht ganz klar, dass es nicht geht}, year = {2000}, abstract = {Zum Einfluss des wissenschaftlichen Werks von C. Zenger auf material science, life sciences, financial engineering und data mining}, booktitle = {Numerische Simulation als interdisziplin{\~A}¤re Herausforderung, Beitr{\~A}¤ge zum 60. Geburtstag von Christoph Zenger}, author = {Griebel, M.} } @Inproceedings { Caglar.Griebel:2000, title = {On the Numerical Simulation of Fullerene Nanotubes: C\(_{100.000.000}\) and Beyond!}, year = {2000}, editor = {R. Esser and P. Grassberger and J. Grotendorst and M. Lewerenz}, publisher = {World Scientific}, booktitle = {Molecular Dynamics on Parallel Computers, NIC, J{\~A}¼lich 8-10 February 1999}, author = {Caglar, A. and Griebel, M.} } @Inproceedings { Frankland.Caglar.Brenner.Griebel:2000, title = {Reinforcement mechanisms in polymer nanotube composites: Simulated non-bonded and cross-linked systems}, year = {2000}, booktitle = {Proceedings of the MRS Fall Meeting}, author = {Frankland, S. J. V. and Caglar, A. and Brenner, D. W. and Griebel, M.} } @Article { MR1693892, title = {A note on the complexity of solving Poisson's equation for spaces of bounded mixed derivatives}, journal = {J. Complexity}, year = {1999}, volume = {15}, number = {2}, pages = {167--199}, url = {https://doi.org/10.1006/jcom.1999.0499}, DOI = {10.1006/jcom.1999.0499}, author = {Bungartz, Hans-Joachim and Griebel, Michael} } @Article { Griebel.Merz.Neunhoeffer:1999, title = {Mathematical modelling and numerical simulation of freezing processes of a supercooled melt under consideration of density changes}, journal = {Computing and Visualization in Science}, year = {1999}, volume = {3}, pages = {1--19}, note = {also as Report No 513, SFB 256, Univ. Bonn, 1997}, author = {Griebel, M. and Merz, W. and Neunhoeffer, T.} } @Article { MR1707773, title = {On the estimation of jump points in smooth curves}, journal = {Ann. Inst. Statist. Math.}, year = {1999}, volume = {51}, number = {2}, pages = {231--251}, url = {https://doi.org/10.1023/A:1003802007064}, DOI = {10.1023/A:1003802007064}, author = {Gijbels, Irene and Hall, Peter and Kneip, Alo\textbackslash''\textbackslashis} } @Article { MR1712687, title = {Sparse grids for boundary integral equations}, journal = {Numer. Math.}, year = {1999}, volume = {83}, number = {2}, pages = {279--312}, url = {https://doi.org/10.1007/s002110050450}, DOI = {10.1007/s002110050450}, author = {Griebel, M. and Oswald, P. and Schiekofer, T.} } @Book { MR1698374, title = {Homological algebra}, year = {1999}, pages = {iv+222}, note = {Translated from the 1989 Russian original by the authors, Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Algebra, V, Encyclopaedia Math. Sci., 38, Springer, Berlin, 1994; MR1309679 (95g:18007)]}, publisher = {Springer-Verlag, Berlin}, ISBN = {3-540-65378-3}, author = {Gelfand, S. I. and Manin, Yu. I.} } @Book { Falk1999b, title = {Intrinsic motivation and extrinsic incentives in a repeated game with incomplete contracts}, year = {1999}, volume = {20}, number = {3}, pages = {251--284}, abstract = {Important features of labor relations are that contracts are incomplete, that workers and firms very often interact repeatedly and that there are opportunities for social exchange. To assess the relative importance of these features, we experimentally examine behavior in a game with incomplete contracts. Our main results are that mere repeated interaction with the same player increased effort levels as compared to one-shot interactions. Social approval incentives were not very important in our experiments. Reciprocal behavior clearly was the dominant pattern. Most of it was intrinsic reciprocity, i.e., neither repeated play nor approval incentives influenced the extent of reciprocity very much. We also show that there exist treatment-dependent equity considerations. (C) 1999 Elsevier Science B.V. All rights reserved. PsycINFO classification. 3020; 2360; 3660 JEL classification. C92; D64; J30; J50; J64.}, keywords = {equity,gift-exchange game,incomplete contracts,interaction,labor relations,reciprocity,repeated,social approval}, booktitle = {J. Econ. Psychol.}, ISBN = {0167-4870}, ISSN = {01674870}, DOI = {10.1016/S0167-4870(99)00009-4}, author = {Falk, Armin and G{\~A}¤chter, Simon and Kov{\~A}¡cs, Judit} } @Inbook { Griebel.Schiekofer:1999*1, title = {PAR-CVD: Entwicklung leistungsf{\~A}¤higer paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen}, year = {1999}, pages = {53--96}, abstract = {Im Rahmen des Verbundprojektes PAR-CVD erfolgte dieEntwicklung von mathematischen Modellen, effizientennumerischen Techniken und Software zur Untersuchung undProzessoptimierung des Halbleiterschichtwachstums vonGa\(_{1-x}\)Al\(_{x}\)As, Ga\(_{1-x}\)In\(_{x}\)P undIn\(_{1-x}\)Ga\(_{x}\)N durch metallorganischeGasphasenepitaxie (engl. Metal Organic Vapour PhaseEpitaxie, MOVPE). Die MOVPE ist ein Verarbeitungsschritt inder Halbleiterprozesstechnik vonIII-V-Verbindungs\textbackslash-halbleitern, auf deren Grundlageelektronische und optoelektronische Bauelemente hergestelltwerden. Das Prozessmodell f{\~A}¼r die Simulation der MOVPEbasiert auf der mathematischen Beschreibung derGasstr{\~A}¶mung f{\~A}¼r den MOVPE-Reaktor, gekoppelt mitW{\~A}¤rme{\~A}¼bergang einschliesslich thermischer Strahlung undMehrkomponentenstofftransport mit Thermodiffusion undhomogenen und heterogenen chemischen Reaktionen. \textbackslash\textbackslash Dasnumerische Modell wurde f{\~A}¼r die Prozess- undReaktoroptimierung in linearen Horizontalreaktoren undindustriellen radialsymmetrischen Mehrscheibenreaktoren(Planetenreaktor) angewandt. Zur Modellvalidierung dernumerischen Rechenergebnisse wurden gezielteTem\textbackslash-pe\textbackslash-ra\textbackslash-tur-- und Wachstumsratenmessungendurchgef{\~A}¼hrt. \textbackslash\textbackslash Zur Beschleunigung des numerischenVerfahrens wurden d{\~A}¼nne Gitter verwendet, die erheblichweniger Gitterpunkte ben{\~A}¶tigen als konventionelle volleGitter und damit einen wesentlich geringeren Rechenaufwandaufweisen. Dabei verschlechtert sich der Fehler beiVerwendung von d{\~A}¼nnen Gittern beispielsweise beimInterpolanten nur um einen logarithmischen Term im Fall derMaximumsnorm und der L\(_{2}\)--Norm, im Fall der Energienormist die Ordnung des Fehlers des Interpolanten auf beidenGittern von derselben Ordnung. Bedingt durch diehierarchische Basis (Tensorprodukt-Basis), die dem d{\~A}¼nnenGitter zugrundeliegt, ist der entstehendeD{\~A}¼nn--Gitter--L{\~A}¶ser vollst{\~A}¤ndig adaptiv. Dieauftretenden Gleichungen werden auf den d{\~A}¼nnen Gitternmit der Methode der Finiten Differenzen diskretisiert. Diehierbei verwendete Datenstruktur ist eine Hash-Tabelle, mitder auf nat{\~A}¼rliche Art und Weise sowohl hierarchische alsauch direkte Nachbarschaftsverh{\~A}¤ltnisse einfachrealisierbar sind. Zudem unterst{\~A}¼tzt die verwendeteDatenstruktur adaptive Vorgehensweisen, mit deren Hilfeproblematische Stellen in den mathematischen L{\~A}¶sungengenauer dargestellt werden k{\~A}¶nnen. \textbackslash\textbackslash Das eingesetztenumerische Verfahren wurde zur weiteren Verringerung derRechenzeit parallelisiert. Dabei wurde f{\~A}¼r die gesamteBibliothek von D{\~A}¼nngitteroperatoren, die Grundlage zurKonstruktion und L{\~A}¶sung der in diesem Projekt anfallendenDifferentialgleichungssysteme ist, ein aufLeichtsgewichtsprozessen {\~A}¼ber gemeinsamen Speicherbasierendes Parallelisierungskonzept entworfen undimplementiert. Der dabei verwendete und auf nahezu allenRechensystemen mit gemeinsamen Speicher verf{\~A}¼gbareProgrammierstandard POSIX Threads (Pthreads) bietet sowohlPlattformunabh{\~A}¤ngigkeit als auchHerstellerunterst{\~A}¼tzung. Durch die Entwicklung undAnwendung eines Benchmarks f{\~A}¼r Pthreads konnten dieLeistungsmessungen vergleichend bewertet und weiteroptimiert werden. Die Performanz und gute Skalierbarkeitdes Verfahrens konnte abschliessend auf einem grossensymmetrischen Multiprozessor unter Beweis gestellt werden.}, note = {L. Kadinski (ed.)}, publisher = {Shaker}, address = {Aachen}, series = {Berichte aus der Str{\~A}¶mungsmechanik}, chapter = {7, Effiziente Algorithmen auf d{\~A}¼nnen Gittern}, author = {Griebel, M. and Schiekofer, T.} } @Incollection { MR1717212, title = {Adaptive sparse grids for hyperbolic conservation laws}, year = {1999}, volume = {129}, pages = {411--422}, publisher = {Birkh{\~A}¤user, Basel}, series = {Internat. Ser. Numer. Math.}, booktitle = {Hyperbolic problems: theory, numerics, applications, Vol. I (Z{\~A}¼rich, 1998)}, author = {Griebel, Michael and Zumbusch, Gerhard} } @Incollection { MR1715606, title = {An exponential lower bound for depth 3 arithmetic circuits}, year = {1999}, pages = {577--582}, publisher = {ACM, New York}, booktitle = {STOC '98 (Dallas, TX)}, author = {Grigoriev, Dima and Karpinski, Marek} } @Incollection { MR2062140, title = {Entropy consistent finite volume schemes for the thin film equation}, year = {1999}, pages = {205--214}, publisher = {Hermes Sci. Publ., Paris}, booktitle = {Finite volumes for complex applications II}, author = {Gr{\~A}¼n, G{\~A}¼nther and Rumpf, Martin} } @Incollection { MR1718003, title = {Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves}, journal = {Parallel Comput.}, year = {1999}, volume = {25}, number = {7}, pages = {827--843}, note = {Parallelization techniques for numerical modelling}, url = {https://doi.org/10.1016/S0167-8191(99)00020-4}, DOI = {10.1016/S0167-8191(99)00020-4}, author = {Griebel, Michael and Zumbusch, Gerhard} } @Incollection { MR1784521, title = {Quantum finite multitape automata}, year = {1999}, volume = {1725}, pages = {340--348}, url = {https://doi.org/10.1007/3-540-47849-3_21}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {SOFSEM'99: theory and practice of informatics (Milovy)}, DOI = {10.1007/3-540-47849-3_21}, author = {Ambainis, Andris and Bonner, Richard and Freivalds, R\&\#363si\textbackslashcns and Golovkins, Marats and Karpinski, Marek} } @Incollection { MR1715626, title = {Randomized (n\verb=^=2) lower bound for knapsack}, year = {1999}, pages = {76--85}, publisher = {ACM, New York}, booktitle = {STOC '97 (El Paso, TX)}, author = {Grigoriev, Dima and Karpinski, Marek} } @Inproceedings { Caglar.Griebel.Schweitzer.ea:1999, title = {Dynamic Load-Balancing of Hierarchical Tree Algorithms on a Cluster of Multiprocessor PCs and on the Cray T3E}, year = {1999}, abstract = {The solution of many problems in science and engineering is based on computational kernels for the numerical treatment of partial differential equations (PDEs) or N-body problems. Traditional solution methods however reduce these to linear algebra or brute force algorithms on structured data sets. Larger and larger simulations require smarter algorithms to be tractable. Hierarchical tree algorithms represent such a class, both for PDEs and for N-body problems. However, their efficient parallelization is not straightforward. Some difficulties can be removed, if one can provide a fast dynamic load-balancing scheme to cope with the tree variations of the unstructured data sets. In this paper we propose a very cheap yet very efficient load-balancing scheme for tree algorithms based on space-filling curves. Furthermore we present the Parnass2 cluster, on which such parallel codes perform extremely well. The cluster consists of SMP PCs and a Myrinet network at Gigabit/s speed configured with full bisection bandwidth. It turns out that it does not only has the obvious price/performance advantage, but also an absolute performance, which is comparable to the latest commercial Cray T3E.}, note = {SuParCup '99 Award Winning Paper, also as SFB 256 report 27}, editor = {H. W. Meuer}, publisher = {Mateo}, address = {Mannheim, Germany}, series = {ISBN 3-932178-08-4}, booktitle = {Proceedings 14th Supercomputer Conference, Mannheim}, author = {Caglar, A. and Griebel, M. and A. Schweitzer, M. and Zumbusch, G.} } @Inproceedings { Caglar.Griebel.Schweitzer.ea:1999, title = {Dynamic Load-Balancing of Hierarchical Tree Algorithms on a Cluster of Multiprocessor PCs and on the Cray T3E}, year = {1999}, abstract = {The solution of many problems in science and engineering is based on computational kernels for the numerical treatment of partial differential equations (PDEs) or N-body problems. Traditional solution methods however reduce these to linear algebra or brute force algorithms on structured data sets. Larger and larger simulations require smarter algorithms to be tractable. Hierarchical tree algorithms represent such a class, both for PDEs and for N-body problems. However, their efficient parallelization is not straightforward. Some difficulties can be removed, if one can provide a fast dynamic load-balancing scheme to cope with the tree variations of the unstructured data sets. In this paper we propose a very cheap yet very efficient load-balancing scheme for tree algorithms based on space-filling curves. Furthermore we present the Parnass2 cluster, on which such parallel codes perform extremely well. The cluster consists of SMP PCs and a Myrinet network at Gigabit/s speed configured with full bisection bandwidth. It turns out that it does not only has the obvious price/performance advantage, but also an absolute performance, which is comparable to the latest commercial Cray T3E.}, note = {SuParCup '99 Award Winning Paper, also as SFB 256 report 27}, editor = {H. W. Meuer}, publisher = {Mateo}, address = {Mannheim, Germany}, series = {ISBN 3-932178-08-4}, booktitle = {Proceedings 14th Supercomputer Conference, Mannheim}, author = {Caglar, A. and Griebel, M. and A. Schweitzer, M. and Zumbusch, G.} } @Inproceedings { Schweitzer.Zumbusch.Griebel:1999, title = {Parnass2: A Cluster of Dual-Processor PCs}, year = {1999}, number = {CSR-99-02}, pages = {45--54}, abstract = {We report on a cluster with 96 CPUs (48 Dual-Processor PCs running Linux 2.1.127) at our department, called Parnass2. The computing nodes are connected by a Myrinet, a Gigabit per second switched LAN, and additionally by a Fast-Ethernet. A comparison of different message passing (MPI) libraries for the Myrinet is given. Furthermore, we present the performance results of Parnass2 for some of the parallel codes developed at our department, namely a sparse grid code for PDEs, a particle code for molecular dynamics, a finite difference code for the Navier-Stokes equation, and a parallel adaptive finite element / finite difference multi-grid code. We compare these results with the performance of these codes running on a Cray T3E-1200, a Cray T3E-600, a SGI Origin 200/2000 and Parnass \textbackslashciteMGriebel:GWZumbusch:1997a, a cluster of SGI O2 workstations.}, editor = {W. Rehm and T. Ungerer}, address = {Chemnitz, Germany}, series = {Chemnitzer Informatik Berichte}, booktitle = {Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe}, organization = {TU Chemnitz}, author = {A. Schweitzer, M. and W. Zumbusch, G. and Griebel, M.} } @Inproceedings { Schweitzer.Zumbusch.Griebel:1999, title = {Parnass2: A Cluster of Dual-Processor PCs}, year = {1999}, number = {CSR-99-02}, pages = {45--54}, abstract = {We report on a cluster with 96 CPUs (48 Dual-Processor PCs running Linux 2.1.127) at our department, called Parnass2. The computing nodes are connected by a Myrinet, a Gigabit per second switched LAN, and additionally by a Fast-Ethernet. A comparison of different message passing (MPI) libraries for the Myrinet is given. Furthermore, we present the performance results of Parnass2 for some of the parallel codes developed at our department, namely a sparse grid code for PDEs, a particle code for molecular dynamics, a finite difference code for the Navier-Stokes equation, and a parallel adaptive finite element / finite difference multi-grid code. We compare these results with the performance of these codes running on a Cray T3E-1200, a Cray T3E-600, a SGI Origin 200/2000 and Parnass \textbackslashciteMGriebel:GWZumbusch:1997a, a cluster of SGI O2 workstations.}, editor = {W. Rehm and T. Ungerer}, address = {Chemnitz, Germany}, series = {Chemnitzer Informatik Berichte}, booktitle = {Proceedings of the 2nd Workshop Cluster-Computing, Karlsruhe}, organization = {TU Chemnitz}, author = {A. Schweitzer, M. and W. Zumbusch, G. and Griebel, M.} } @Inproceedings { MR1726115, title = {Quasi-one-dimensional nanosystems in a uniform magnetic field: explicitly solvable model}, journal = {Rep. Math. Phys.}, year = {1999}, volume = {44}, number = {1-2}, pages = {13--20}, url = {https://doi.org/10.1016/S0034-4877(99)80140-2}, booktitle = {Proceedings of the XXX Symposium on Mathematical Physics (Toru{\'n}, 1998)}, DOI = {10.1016/S0034-4877(99)80140-2}, author = {Albeverio, S. and Geyler, V. A. and Kostrov, O. G.} } @Inproceedings { MR1726116, title = {Scattering behaviour of quantum vector fields obtained from Euclidean covariant SPDEs}, journal = {Rep. Math. Phys.}, year = {1999}, volume = {44}, number = {1-2}, pages = {21--28}, url = {https://doi.org/10.1016/S0034-4877(99)80141-4}, booktitle = {Proceedings of the XXX Symposium on Mathematical Physics (Toru{\'n}, 1998)}, DOI = {10.1016/S0034-4877(99)80141-4}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Techreport { Griebel.Knapek:1999, title = {Optimized approximation spaces for operator equations}, year = {1999}, number = {568}, institution = {SFB 256, Univ.\verb=~=Bonn}, author = {Griebel, M. and Knapek, S.} } @Article { MR1650985, title = {Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences}, journal = {Computing}, year = {1998}, volume = {61}, number = {2}, pages = {151--179}, url = {https://doi.org/10.1007/BF02684411}, DOI = {10.1007/BF02684411}, author = {Griebel, M.} } @Article { Griebel.Neunhoeffer.Regler:1998, title = {Algebraic multigrid methods for the solution of the Navier-Stokes equations in complicated geometries}, journal = {Int. J. Numer. Meth. Fluids}, year = {1998}, volume = {26}, pages = {281-301}, note = {Also as SFB Bericht 342/1/96A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen, 1996}, author = {Griebel, M. and Neunhoeffer, T. and Regler, H.} } @Article { MR1657752, title = {An exponential lower bound on the size of algebraic decision trees for MAX}, journal = {Comput. Complexity}, year = {1998}, volume = {7}, number = {3}, pages = {193--203}, url = {https://doi.org/10.1007/s000370050010}, DOI = {10.1007/s000370050010}, author = {Grigoriev, Dima and Karpinski, Marek and Yao, Andrew C.} } @Article { MR1612624, title = {Computing the additive complexity of algebraic circuits with root extracting}, journal = {SIAM J. Comput.}, year = {1998}, volume = {27}, number = {3}, pages = {694--701}, url = {https://doi.org/10.1137/S0097539793258313}, DOI = {10.1137/S0097539793258313}, author = {Grigoriev, Dima and Karpinski, Marek} } @Article { RN244, title = {Determination of thin-film debonding parameters from telephone-cord measurements}, journal = {Acta Materialia}, year = {1998}, volume = {46}, number = {1}, pages = {169-175}, url = {://WOS:000071388100016}, type = {Journal Article}, ISSN = {1359-6454}, DOI = {Doi 10.1016/S1359-6454(97)00211-5}, author = {Gioia, G. and Ortiz, M.} } @Article { MR1623706, title = {Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b\(_{+=1}\)}, journal = {Selecta Math. (N.S.)}, year = {1998}, volume = {4}, number = {1}, pages = {69--115}, url = {https://doi.org/10.1007/s000290050025}, DOI = {10.1007/s000290050025}, author = {G{\~A}¶ttsche, Lothar and Zagier, Don} } @Article { MR1690497, title = {Metastates in the Hopfield model in the replica symmetric regime}, journal = {Math. Phys. Anal. Geom.}, year = {1998}, volume = {1}, number = {2}, pages = {107--144}, url = {https://doi.org/10.1023/A:1009764607660}, DOI = {10.1023/A:1009764607660}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR1669959, title = {Numerical integration using sparse grids}, journal = {Numer. Algorithms}, year = {1998}, volume = {18}, number = {3-4}, pages = {209--232}, url = {https://doi.org/10.1023/A:1019129717644}, DOI = {10.1023/A:1019129717644}, author = {Gerstner, Thomas and Griebel, Michael} } @Article { MR1652080, title = {Partly divisible probability distributions}, journal = {Forum Math.}, year = {1998}, volume = {10}, number = {6}, pages = {687--697}, url = {https://doi.org/10.1515/form.10.6.687}, DOI = {10.1515/form.10.6.687}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Article { MR1614809, title = {Simulating threshold circuits by majority circuits}, journal = {SIAM J. Comput.}, year = {1998}, volume = {27}, number = {1}, pages = {230--246}, url = {https://doi.org/10.1137/S0097539794274519}, DOI = {10.1137/S0097539794274519}, author = {Goldmann, Mikael and Karpinski, Marek} } @Book { MR1486575, title = {Numerical simulation in fluid dynamics}, year = {1998}, pages = {xvi+217}, note = {A practical introduction, Translated from the German by Oliver Ernst}, url = {https://doi.org/10.1137/1.9780898719703}, publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, series = {SIAM Monographs on Mathematical Modeling and Computation}, ISBN = {0-89871-398-6}, DOI = {10.1137/1.9780898719703}, author = {Griebel, Michael and Dornseifer, Thomas and Neunhoeffer, Tilman} } @Incollection { MR1691507, title = {Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences}, year = {1998}, volume = {62}, pages = {42--65}, publisher = {Friedr. Vieweg, Braunschweig}, series = {Notes Numer. Fluid Mech.}, booktitle = {Large-scale scientific computations of engineering and environmental problems (Varna, 1997)}, author = {Griebel, Michael} } @Incollection { MR1705046, title = {An adaptive sparse grid Navier Stokes solver in 3D based on the finite difference method}, year = {1998}, pages = {327--334}, publisher = {World Sci. Publ., River Edge, NJ}, booktitle = {ENUMATH 97 (Heidelberg)}, author = {Griebel, M. and Schiekofer, T.} } @Incollection { MR1645860, title = {Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization}, year = {1998}, volume = {218}, pages = {271--278}, url = {https://doi.org/10.1090/conm/218/3018}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Domain decomposition methods, 10 (Boulder, CO, 1997)}, DOI = {10.1090/conm/218/3018}, author = {Griebel, Michael and Zumbusch, Gerhard} } @Incollection { MR1601727, title = {Hopfield models as generalized random mean field models}, year = {1998}, volume = {41}, pages = {3--89}, publisher = {Birkh{\~A}¤user Boston, Boston, MA}, series = {Progr. Probab.}, booktitle = {Mathematical aspects of spin glasses and neural networks}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Incollection { MR1668783, title = {Towards an adaptive wavelet-based 3D Navier-Stokes solver}, year = {1998}, volume = {66}, pages = {339--364}, url = {https://doi.org/10.1007/978-3-663-10916-7_17}, publisher = {Friedr. Vieweg, Braunschweig}, series = {Notes Numer. Fluid Mech.}, booktitle = {Numerical flow simulation, I (Marseille, 1997)}, DOI = {10.1007/978-3-663-10916-7_17}, author = {Koster, F. and Griebel, M. and Kevlahan, N. K.-R. and Farge, M. and Schneider, K.} } @Incollection { MR1601747, title = {Typical profiles of the Kac-Hopfield model}, year = {1998}, volume = {41}, pages = {187--241}, publisher = {Birkh{\~A}¤user Boston, Boston, MA}, series = {Progr. Probab.}, booktitle = {Mathematical aspects of spin glasses and neural networks}, author = {Bovier, A. and Gayrard, V. and Picco, P.} } @Inproceedings { Griebel.Zumbusch:1998*1, title = {Parallel multigrid in an adaptive PDE solver based on hashing}, year = {1998}, number = {12}, pages = {589--600}, abstract = {Partial differential equations can be solved efficientlyby adaptive multigrid methods on a parallel computer. Wereport on the concept of hash-table storage techniques toset up such a code. The code requires substantial lessamount of memory and is easier to code in the sequentialcase. The parallelization takes place by a space fillingcurve domain decomposition intimately connected to the hashtable. The new data structure simplifies the parallelversion of the code substantially way and introduces acheap way to solve the load balancing and mappingproblem.}, note = {Proceedings of ParCo 97, Bonn, Germany}, editor = {E. D'Hollander and G.R. Joubert and F.J. Peters and U. Trottenberg}, publisher = {Elsevier}, address = {Amsterdam, The Netherlands}, series = {Advances in Parallel Computing}, booktitle = {Parallel Computing: Fundamentals, Applications and New Directions}, author = {Griebel, M. and W. Zumbusch, G.} } @Techreport { Koster.Griebel:1998, title = {Orthogonal Wavelets on the Interval}, year = {1998}, number = {No. 576}, abstract = {In this paper we generalize the constructions\textbackslashciteChLi1, \textbackslashciteCDV1 and \textbackslashciteMoPe1 of wavelets onthe interval. These schemes give boundary modifications ofcompactly supported orthogonal wavelets {\"I}? {\^a}?? L\(_{2}\)(\textbackslashbfR) with supp\verb=~={\"I}?=[-N+1,N], where N denotes thenumber of vanishing moments of {\"I}?. Our new schemeovercomes this restrictive condition. Furthermore, theconstructions \textbackslashciteChLi1, \textbackslashciteCDV1, \textbackslashciteMoPe1involve Gram matrices for explicit orthogonalization steps.These Gram matrices tend to be very ill conditioned forincreasing N. It is shown that for the present scheme thecondition numbers of the resulting matrices are smaller byorders of magnitude. Therefore our scheme is numericallymore stable. We also point out how wavelets can be obtainedsatisfying homogeneous Dirichlet or Neumann conditions. Inaddition, we deal with the requirement of the discretewavelet transform on the interval to find, e.g. from nodalvalues of u {\^a}?? L\(_{2}\)([0,1]), an approximation \textbackslashtildeuby a linear combination of dilated scaling functions. Wepresent and compare two methods. One method has alreadybeen used in \textbackslashciteChLi1 and \textbackslashciteMoPe1. Our experimentsshow that this scheme is not suited for data compression onthe interval. The other method however is designed for datacompression applications and leads to cheap and very wellconditioned approximation mapping}, institution = {SFB 256, Universit{\~A}¤t Bonn, Germany}, author = {Koster, F. and Griebel, M.} } @Article { MR1468172, title = {An almost sure central limit theorem for the Hopfield model}, journal = {Markov Process. Related Fields}, year = {1997}, volume = {3}, number = {2}, pages = {151--173}, author = {Bovier, A. and Gayrard, V.} } @Article { MR1484092, title = {Constructive approach to the global Markov property in Euclidean quantum field theory. I. Construction of transition kernels}, journal = {Markov Process. Related Fields}, year = {1997}, volume = {3}, number = {3}, pages = {275--322}, author = {Albeverio, S. and Gielerak, R. and Russo, F.} } @Article { RN256, title = {Delamination of compressed thin films}, journal = {Advances in Applied Mechanics, Vol 33}, year = {1997}, volume = {33}, pages = {119-192}, url = {://WOS:A1997BH79H00003}, type = {Journal Article}, ISSN = {0065-2156}, DOI = {Doi 10.1016/S0065-2156(08)70386-7}, author = {Gioia, G. and Ortiz, M.} } @Article { RN276, title = {Delamination of compressed thin films}, journal = {Advances in Applied Mechanics, Vol 33}, year = {1997}, volume = {33}, pages = {119-192}, url = {://WOS:A1997BH79H00003}, type = {Journal Article}, ISSN = {0065-2156}, DOI = {Doi 10.1016/S0065-2156(08)70386-7}, author = {Gioia, G. and Ortiz, M.} } @Article { MR1462768, title = {Distribution of overlap profiles in the one-dimensional Kac-Hopfield model}, journal = {Comm. Math. Phys.}, year = {1997}, volume = {186}, number = {2}, pages = {323--379}, url = {https://doi.org/10.1007/s002200050112}, DOI = {10.1007/s002200050112}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Picco, Pierre} } @Article { MR1424824, title = {Lower bound on testing membership to a polyhedron by algebraic decision and computation trees}, journal = {Discrete Comput. Geom.}, year = {1997}, volume = {17}, number = {2}, pages = {191--215}, url = {https://doi.org/10.1007/BF02770873}, DOI = {10.1007/BF02770873}, author = {Grigoriev, D. and Karpinski, M. and Vorobjov, N.} } @Article { MR1462508, title = {Models of local relativistic quantum fields with indefinite metric (in all dimensions)}, journal = {Comm. Math. Phys.}, year = {1997}, volume = {184}, number = {3}, pages = {509--531}, url = {https://doi.org/10.1007/s002200050071}, DOI = {10.1007/s002200050071}, author = {Albeverio, S. and Gottschalk, H. and Wu, J.-L.} } @Article { MR1474391, title = {Multilevel preconditioning based on discrete symmetrization for convection-diffusion equations}, journal = {J. Comput. Appl. Math.}, year = {1997}, volume = {83}, number = {2}, pages = {165--183}, url = {https://doi.org/10.1016/S0377-0427(97)00095-2}, DOI = {10.1016/S0377-0427(97)00095-2}, author = {Griebel, Michael and Starke, Gerhard} } @Article { MR1461242, title = {Nontrivial scattering amplitudes for some local relativistic quantum field models with indefinite metric}, journal = {Phys. Lett. B}, year = {1997}, volume = {405}, number = {3-4}, pages = {243--248}, url = {https://doi.org/10.1016/S0370-2693(97)00574-1}, DOI = {10.1016/S0370-2693(97)00574-1}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Article { MR1427717, title = {The retrieval phase of the Hopfield model: a rigorous analysis of the overlap distribution}, journal = {Probab. Theory Related Fields}, year = {1997}, volume = {107}, number = {1}, pages = {61--98}, url = {https://doi.org/10.1007/s004400050077}, DOI = {10.1007/s004400050077}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Incollection { MR1487426, title = {A multigrid-homogenization method}, year = {1997}, volume = {59}, pages = {187--202}, url = {https://doi.org/10.1007/978-3-322-89565-3_17}, publisher = {Friedr. Vieweg, Braunschweig}, series = {Notes Numer. Fluid Mech.}, booktitle = {Modeling and computation in environmental sciences (Stuttgart, 1995)}, DOI = {10.1007/978-3-322-89565-3_17}, author = {Griebel, M. and Knapek, S.} } @Incollection { MR1438081, title = {Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs}, journal = {Appl. Numer. Math.}, year = {1997}, volume = {23}, number = {1}, pages = {63--95}, note = {Multilevel methods (Oberwolfach, 1995)}, url = {https://doi.org/10.1016/S0168-9274(96)00062-1}, DOI = {10.1016/S0168-9274(96)00062-1}, author = {Grauschopf, T. and Griebel, M. and Regler, H.} } @Incollection { MR1636829, title = {General setting for stochastic processes associated with quantum fields}, year = {1997}, volume = {23}, pages = {77--90}, publisher = {Birkh{\~A}¤user Boston, Boston, MA}, series = {Progr. Systems Control Theory}, booktitle = {Stochastic differential and difference equations (Gy\&\#337;r, 1996)}, author = {Albeverio, Sergio and Gielerak, Roman and Russo, Francesco} } @Incollection { MR1607123, title = {Statistical mechanics of neural networks: the Hopfield model and the Kac-Hopfield model}, journal = {Markov Process. Related Fields}, year = {1997}, volume = {3}, number = {4}, pages = {393--422}, note = {Statistical mechanics of large networks (Rocquencourt, 1996)}, author = {Bovier, A. and Gayrard, V.} } @Inproceedings { Dauelsberg.Durst.Kadinski.ea:1997, title = {PAR-CVD: Entwicklung leistungsf{\~A}¤higer paralleler Berechnungsverfahren zur Untersuchung und Optimierung von CVD-Prozessen}, year = {1997}, note = {also as Berichte aus der Str{\~A}¶mungsmechnaik, Shaker Verlag, Aachen, 1999.}, address = {M{\~A}¼nchen}, booktitle = {Proceedings der BMWF-Tagung HPSC97}, author = {Dauelsberg, M. and Durst, F. and Kadinski, L. and Makarov, Y. and Strauch, G. and J{\~A}¼rgensen, H. and Schiekofer, T. and Griebel, M. and Bode, A. and Luksch, P. and May, M.} } @Inproceedings { Griebel.Zumbusch:1997, title = {Parnass: Porting gigabit-LAN components to a workstationcluster}, year = {1997}, number = {CSR-97-05}, pages = {101--124}, abstract = {We will report on a cluster of workstations at ourdepartment, called Parnass. It is based on different typesof MIPS processor workstations and servers, connected by aMyrinet, a Gigabit per second switched LAN, andadditionally a Fast Ethernet. We have ported some low levelmessage passing libraries as well as MPI to the Myrinet. Acomparison of the performance of various communicationlibraries on different networks will be presented.}, note = {also as Techn. Report No 19, SFB 256, Univ. Bonn}, editor = {W. Rehm}, address = {Chemnitz, Germany}, series = {Chemnitzer Informatik Berichte}, booktitle = {Proceedings of the 1st Workshop Cluster-Computing}, organization = {TU Chemnitz}, author = {Griebel, M. and W. Zumbusch, G.} } @Inproceedings { MR1611686, title = {Remarks on some new models of interacting quantum fields with indefinite metric}, journal = {Rep. Math. Phys.}, year = {1997}, volume = {40}, number = {3}, pages = {385--394}, url = {https://doi.org/10.1016/S0034-4877(97)85890-9}, booktitle = {Proceedings of the XXIX Symposium on Mathematical Physics (Toru{\'n}, 1996)}, DOI = {10.1016/S0034-4877(97)85890-9}, author = {Albeverio, S. and Gottschalk, H. and Wu, J.-L.} } @Article { MR1613619, title = {A lower bound for randomized algebraic decision trees}, journal = {Comput. Complexity}, year = {1996}, volume = {6}, number = {4}, pages = {357--375}, url = {https://doi.org/10.1007/BF01270387}, DOI = {10.1007/BF01270387}, author = {Grigoriev, Dima and Karpinski, Marek and Meyer auf der Heide, Friedhelm and Smolensky, Roman} } @Article { MR1411501, title = {An almost sure large deviation principle for the Hopfield model}, journal = {Ann. Probab.}, year = {1996}, volume = {24}, number = {3}, pages = {1444--1475}, url = {https://doi.org/10.1214/aop/1065725188}, DOI = {10.1214/aop/1065725188}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR1412357, title = {Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions}, journal = {Rev. Math. Phys.}, year = {1996}, volume = {8}, number = {6}, pages = {763--817}, url = {https://doi.org/10.1142/S0129055X96000287}, DOI = {10.1142/S0129055X96000287}, author = {Albeverio, Sergio and Gottschalk, Hanno and Wu, Jiang-Lun} } @Article { MR1395935, title = {Hodge numbers of moduli spaces of stable bundles on K3 surfaces}, journal = {Internat. J. Math.}, year = {1996}, volume = {7}, number = {3}, pages = {359--372}, url = {https://doi.org/10.1142/S0129167X96000219}, DOI = {10.1142/S0129167X96000219}, author = {G{\~A}¶ttsche, L. and Huybrechts, D.} } @Article { MR1613623, title = {Randomization and the computational power of analytic and algebraic decision trees}, journal = {Comput. Complexity}, year = {1996}, volume = {6}, number = {4}, pages = {376--388}, url = {https://doi.org/10.1007/BF01270388}, DOI = {10.1007/BF01270388}, author = {Grigoriev, Dima and Karpinski, Marek and Smolensky, Roman} } @Article { MR1387512, title = {Singular traces and compact operators}, journal = {J. Funct. Anal.}, year = {1996}, volume = {137}, number = {2}, pages = {281--302}, url = {https://doi.org/10.1006/jfan.1996.0047}, DOI = {10.1006/jfan.1996.0047}, author = {Albeverio, S. and Guido, D. and Ponosov, A. and Scarlatti, S.} } @Article { MR1372647, title = {The two-dimensional structure of dynamic boundary layers and shear bands in thermoviscoplastic solids}, journal = {J. Mech. Phys. Solids}, year = {1996}, volume = {44}, number = {2}, pages = {251--292}, url = {https://doi.org/10.1016/0022-5096(95)00071-2}, DOI = {10.1016/0022-5096(95)00071-2}, author = {Gioia, G. and Ortiz, M.} } @Article { RN282, title = {The two-dimensional structure of dynamic boundary layers and shear bands in thermoviscoplastic solids}, journal = {Journal of the Mechanics and Physics of Solids}, year = {1996}, volume = {44}, number = {2}, pages = {251-292}, url = {://WOS:A1996TT64200006}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {Doi 10.1016/0022-5096(95)00071-2}, author = {Gioia, G. and Ortiz, M.} } @Book { Bungartz.Griebel.Zenger:1996, title = {Einf{\~A}¼hrung in die Computergraphik: Grundlagen,Geometrische Modellierung, Algorithmen}, year = {1996}, abstract = {Dieses Buch gibt eine umfassende Einf{\~A}¼hrung in dieverschiedenen Aspekte der Computergraphik. Neben derDiskussion grundlegender Fragestellungen(Koordinatensysteme, Rasterung, Farbmodelle) werden dabeisowohl die geometrische Modellierung dreidimensionalerObjekte als auch deren graphische Darstellung beschrieben.Weiterhin wird die Rolle der Computergraphik in modernenAnwendungen wie Animation, Visualisierung oder VirtualReality beleuchtet. Der Leser erh{\~A}¤lt so einen {\~A}?berblick{\~A}¼ber die einzelnen Arbeitsschritte und Techniken von derrealen Szene bis zum Bild durch zahlreiche, z.T. farbigeIllustrationen.}, publisher = {Vieweg}, address = {Braunschweig}, author = {Bungartz, H.-J. and Griebel, M. and Zenger, C.} } @Book { MR1438306, title = {Methods of homological algebra}, year = {1996}, pages = {xviii+372}, note = {Translated from the 1988 Russian original}, url = {https://doi.org/10.1007/978-3-662-03220-6}, publisher = {Springer-Verlag, Berlin}, ISBN = {3-540-54746-0}, DOI = {10.1007/978-3-662-03220-6}, author = {Gelfand, Sergei I. and Manin, Yuri I.} } @Incollection { MR1430844, title = {A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation}, journal = {Math. Comput. Simulation}, year = {1996}, volume = {42}, number = {4-6}, pages = {595--605}, note = {Symbolic computation, new trends and developments (Lille, 1993)}, url = {https://doi.org/10.1016/S0378-4754(96)00036-5}, DOI = {10.1016/S0378-4754(96)00036-5}, author = {Bungartz, H. and Griebel, M. and R{\~A}¶schke, D. and Zenger, C.} } @Incollection { MR1383400, title = {Computability of the additive complexity of algebraic circuits with root extracting}, journal = {Theoret. Comput. Sci.}, year = {1996}, volume = {157}, number = {1}, pages = {91--99}, note = {Algorithmic complexity of algebraic and geometric models (Creteil, 1994)}, url = {https://doi.org/10.1016/0304-3975(95)00177-8}, DOI = {10.1016/0304-3975(95)00177-8}, author = {Grigoriev, Dima and Karpinski, Marek} } @Incollection { Karp:GKPR96, title = {Efficient Algorithms for Lempel-Zip Encoding (Extended Abstract)}, year = {1996}, volume = {1097}, pages = {392--403}, publisher = {Springer}, address = {Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {SWAT}, DOI = {10.1007/3-540-61422-2_148}, author = {Gasieniec, Leszek and Karpinski, Marek and Plandowski, Wojciech and Rytter, Wojciech} } @Incollection { MR1453123, title = {Euclidean random fields, pseudodifferential operators, and Wightman functions}, year = {1996}, pages = {20--37}, publisher = {World Sci. Publ., River Edge, NJ}, booktitle = {Stochastic analysis and applications (Powys, 1995)}, author = {Albeverio, S. and Gottschalk, H. and Wu, J.-L.} } @Incollection { Griebel.Huber.Zenger:1996, title = {Numerical turbulence simulation on a parallel computerusing the combination method}, year = {1996}, volume = {52}, pages = {34--47}, editor = {E. H. Hirschel}, publisher = {Vieweg}, address = {Wiesbaden}, series = {Notes Numer. Fluid Mech.}, booktitle = {Flow Simulation with High-performance Computers, DFG-SPP}, author = {Griebel, M. and Huber, W. and Zenger, C.} } @Incollection { MR1436872, title = {Randomized efficient algorithms for compressed strings: the finger-print approach (extended abstract)}, year = {1996}, volume = {1075}, pages = {39--49}, url = {https://doi.org/10.1007/3-540-61258-0_3}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Combinatorial pattern matching (Laguna Beach, CA, 1996)}, DOI = {10.1007/3-540-61258-0_3}, author = {G\textbackslashcasieniec, Leszek and Karpinski, Marek and Plandowski, Wojciech and Rytter, Wojciech} } @Incollection { MR1460300, title = {Short proofs for nondivisibility of sparse polynomials under the extended Riemann hypothesis}, journal = {Fund. Inform.}, year = {1996}, volume = {28}, number = {3-4}, pages = {297--301}, note = {To the memory of Prof. Helena Rasiowa}, author = {Grigoriev, Dima and Karpinski, Marek and Odlyzko, Andrew M.} } @Inproceedings { MR1427560, title = {A lower bound for randomized algebraic decision trees}, year = {1996}, pages = {612--619}, url = {https://doi.org/10.1145/237814.238011}, publisher = {ACM, New York}, booktitle = {Proceedings of the Twenty-eighth Annual ACM Symposium on the Theory of Computing (Philadelphia, PA, 1996)}, DOI = {10.1145/237814.238011}, author = {Grigoriev, Dima and Karpinski, Marek and Meyer auf der Heide, Friedhelm and Smolensky, Roman} } @Inproceedings { MR1393735, title = {Parallel point- and domain-oriented multilevel methods for elliptic PDE's on workstation networks}, journal = {J. Comput. Appl. Math.}, year = {1996}, volume = {66}, number = {1-2}, pages = {267--278}, url = {https://doi.org/10.1016/0377-0427(95)00195-6}, booktitle = {Proceedings of the Sixth International Congress on Computational and Applied Mathematics (Leuven, 1994)}, DOI = {10.1016/0377-0427(95)00195-6}, author = {Griebel, Michael and Neunhoeffer, Tilman} } @Inproceedings { Rosch.Kruger.Griebel.ea:1996, title = {Quantenchemie auf Parallelrechnern, Zur Perspektive derDichtefunktionaltheorie}, year = {1996}, booktitle = {Proceedings der BMWF-Tagung HPSC95, Aachen}, author = {R{\~A}¶sch, N. and Kr{\~A}¼ger, S. and Griebel, M. and Zenger, C.} } @Article { MR1325589, title = {Gibbs states of the Hopfield model with extensively many patterns}, journal = {J. Statist. Phys.}, year = {1995}, volume = {79}, number = {1-2}, pages = {395--414}, url = {https://doi.org/10.1007/BF02179395}, DOI = {10.1007/BF02179395}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Picco, Pierre} } @Article { MR1327224, title = {Large deviation principles for the Hopfield model and the Kac-Hopfield model}, journal = {Probab. Theory Related Fields}, year = {1995}, volume = {101}, number = {4}, pages = {511--546}, url = {https://doi.org/10.1007/BF01202783}, DOI = {10.1007/BF01202783}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Picco, Pierre} } @Article { MR1324736, title = {On the abstract theory of additive and multiplicative Schwarz algorithms}, journal = {Numer. Math.}, year = {1995}, volume = {70}, number = {2}, pages = {163--180}, url = {https://doi.org/10.1007/s002110050115}, DOI = {10.1007/s002110050115}, author = {Griebel, M. and Oswald, P.} } @Article { MR1346296, title = {Parallel domain-oriented multilevel methods}, journal = {SIAM J. Sci. Comput.}, year = {1995}, volume = {16}, number = {5}, pages = {1105--1125}, url = {https://doi.org/10.1137/0916064}, DOI = {10.1137/0916064}, author = {Griebel, Michael} } @Article { MR1338078, title = {Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences}, journal = {J. Phys. A}, year = {1995}, volume = {28}, number = {8}, pages = {2313--2324}, url = {http://stacks.iop.org/0305-4470/28/2313}, author = {Bovier, Anton and Ghez, Jean-Michel} } @Article { MR1338900, title = {Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems}, journal = {Adv. Comput. Math.}, year = {1995}, volume = {4}, number = {1-2}, pages = {171--206}, url = {https://doi.org/10.1007/BF02123478}, DOI = {10.1007/BF02123478}, author = {Griebel, M. and Oswald, P.} } @Article { MR1319267, title = {The efficient solution of fluid dynamics problems by the combination technique}, journal = {Internat. J. Numer. Methods Heat Fluid Flow}, year = {1995}, volume = {5}, number = {3}, pages = {251--269}, url = {https://doi.org/10.1108/EUM0000000004119}, DOI = {10.1108/EUM0000000004119}, author = {Griebel, Michael and Thurner, Veronika} } @Book { Griebel.Dornseifer.Neunhoeffer:1995, title = {Numerische Simulation in der Str{\~A}¶mungsmechanik, einepraxisorientierte Einf{\~A}¼hrung}, year = {1995}, abstract = {Dieses Buch gibt am Beispiel der Str{\~A}¶mungsmechanik eineEinf{\~A}¼hrung in die numerische Simulation und beleuchtetauf einfache Weise deren vielf{\~A}¤ltige Aspekte von derModellbildung {\~A}¼ber Diskretisierung, Algorithmen undschnelle L{\~A}¶ser, Parallelisierung bis hin zurVisualisierung. Neben der Beschreibung der einzelnenSchritte bei der numerischen Simulation werden auchdetaillierte Hinweise zur Umsetzung in ein Computerprogrammgegeben. In zahlreichen, teils farbigen Abbildungen werdenSimulationsergebnisse pr{\~A}¤sentiert, die den Leser dazuanimieren, ein Simulationsprogramm zu erstellen und esf{\~A}¼r eigene Berechnungen zu nutzen.}, publisher = {Vieweg}, address = {Braunschweig}, author = {Griebel, M. and Dornseifer, T. and Neunhoeffer, T.} } @Incollection { MR1619089, title = {Improved lower bound on testing membership to a polyhedron by algebraic decision trees}, year = {1995}, pages = {258--265}, url = {https://doi.org/10.1109/SFCS.1995.492481}, publisher = {IEEE Comput. Soc. Press, Los Alamitos, CA}, booktitle = {36th Annual Symposium on Foundations of Computer Science (Milwaukee, WI, 1995)}, DOI = {10.1109/SFCS.1995.492481}, author = {Grigoriev, Dima and Karpinski, Marek and Vorobjov, Nicolai} } @Incollection { MR1344693, title = {Singular traces and nonstandard analysis}, year = {1995}, volume = {314}, pages = {3--19}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {Math. Appl.}, booktitle = {Advances in analysis, probability and mathematical physics (Blaubeuren, 1992)}, author = {Albeverio, S. and Guido, D. and Ponosov, A. and Scarlatti, S.} } @Inproceedings { Griebel.Huber:1995*1, title = {Turbulence simulation on sparse grids using the combination method}, year = {1995}, pages = {75--84}, editor = {N. Satofuka and J. Periaux and A. Ecer}, publisher = {North-Holland, Elsevier}, booktitle = {Parallel Computational Fluid Dynamics, New Algorithms and Applications}, author = {Griebel, M. and Huber, W.} } @Techreport { Griebel.Huber:1995*2, title = {Parallel turbulence simulation on the IBM SP2 using a sparse grid method}, year = {1995}, institution = {Contribution Sup'Prize 1995, Sup'Eur User Group Organization}, author = {Griebel, M. and Huber, W.} } @Techreport { Griebel.Kreil.Rykaschewski.ea:1995, title = {Results of Benchmark Computations for the DFG-SPP {\^a}??Flow Simulations with High Performace Computers{\^a}??}, year = {1995}, institution = {DFG-SPP}, author = {Griebel, M. and Krei{\~A}?l, R. and Rykaschewski, M. and Zenger, C.} } @Article { MR1253189, title = {Cohomology of S-arithmetic subgroups in the number field case}, journal = {Invent. Math.}, year = {1994}, volume = {116}, number = {1-3}, pages = {75--93}, url = {https://doi.org/10.1007/BF01231557}, DOI = {10.1007/BF01231557}, author = {Blasius, Don and Franke, Jens and Grunewald, Fritz} } @Article { MR1258990, title = {Computational complexity of sparse rational interpolation}, journal = {SIAM J. Comput.}, year = {1994}, volume = {23}, number = {1}, pages = {1--11}, url = {https://doi.org/10.1137/S0097539791194069}, DOI = {10.1137/S0097539791194069}, author = {Grigoriev, Dima and Karpinski, Marek and Singer, Michael F.} } @Article { GKZMPL1994, title = {Development and outcome of indices of obesity in normal children}, journal = {Annals of Human Biology}, year = {1994}, volume = {21}, pages = {275-286}, author = {Gasser, T. and Kneip, A. and Ziegler, P. and Molinari, L. and Prader, A. and Largo, R.} } @Article { MR1309558, title = {Erratum: {\^a}??Spectral properties of one-dimensional Schr{\~A}¶dinger operators with potentials generated by substitutions{\^a}?? [Comm. Math. Phys. \emph{158}(1993), no. 1, 45--66; MR1243715 (94k:82064)]}, journal = {Comm. Math. Phys.}, year = {1994}, volume = {166}, number = {2}, pages = {431--432}, url = {http://projecteuclid.org/euclid.cmp/1104271618}, author = {Bovier, Anton and Ghez, Jean-Michel} } @Article { MR1305586, title = {Gibbs states of the Hopfield model in the regime of perfect memory}, journal = {Probab. Theory Related Fields}, year = {1994}, volume = {100}, number = {3}, pages = {329--363}, url = {https://doi.org/10.1007/BF01193704}, DOI = {10.1007/BF01193704}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique and Picco, Pierre} } @Article { MR1254398, title = {On additive Schwarz preconditioners for sparse grid discretizations}, journal = {Numer. Math.}, year = {1994}, volume = {66}, number = {4}, pages = {449--463}, url = {https://doi.org/10.1007/BF01385707}, DOI = {10.1007/BF01385707}, author = {Griebel, M. and Oswald, P.} } @Article { MR1274550, title = {Pointwise convergence of the combination technique for the Laplace equation}, journal = {East-West J. Numer. Math.}, year = {1994}, volume = {2}, number = {1}, pages = {21--45}, author = {Bungartz, H.-J. and Griebel, M. and R{\~A}¶schke, D. and Zenger, C.} } @Article { MR1264947, title = {The morphology and folding patterns of buckling-driven thin-film blisters}, journal = {J. Mech. Phys. Solids}, year = {1994}, volume = {42}, number = {3}, pages = {531--559}, url = {https://doi.org/10.1016/0022-5096(94)90030-2}, DOI = {10.1016/0022-5096(94)90030-2}, author = {Ortiz, Michael and Gioia, Gustavo} } @Article { RN287, title = {The Morphology and Folding Patterns of Buckling-Driven Thin-Film Blisters}, journal = {Journal of the Mechanics and Physics of Solids}, year = {1994}, volume = {42}, number = {3}, pages = {531-559}, url = {://WOS:A1994NB44100007}, type = {Journal Article}, ISSN = {0022-5096}, DOI = {Doi 10.1016/0022-5096(94)90030-2}, author = {Ortiz, M. and Gioia, G.} } @Article { MR1253192, title = {Weighted cohomology}, journal = {Invent. Math.}, year = {1994}, volume = {116}, number = {1-3}, pages = {139--213}, url = {https://doi.org/10.1007/BF01231560}, DOI = {10.1007/BF01231560}, author = {Goresky, M. and Harder, G. and MacPherson, R.} } @Book { MR1312162, title = {Multilevelmethoden als Iterationsverfahren {\~A}¼ber Erzeugendensystemen}, year = {1994}, pages = {viii+175}, url = {https://doi.org/10.1007/978-3-322-89224-9}, publisher = {B. G. Teubner, Stuttgart}, series = {Teubner Skripten zur Numerik. [Teubner Scripts on Numerical Mathematics]}, ISBN = {3-519-02718-6}, DOI = {10.1007/978-3-322-89224-9}, author = {Griebel, Michael} } @Incollection { MR1262625, title = {A domain decomposition method using sparse grids}, year = {1994}, volume = {157}, pages = {255--261}, url = {https://doi.org/10.1090/conm/157/01425}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Domain decomposition methods in science and engineering (Como, 1992)}, DOI = {10.1090/conm/157/01425}, author = {Griebel, Michael} } @Incollection { MR1323639, title = {Co-learnability and FIN-identifiability of enumerable classes of total recursive functions}, year = {1994}, volume = {872}, pages = {100--105}, url = {https://doi.org/10.1007/3-540-58520-6_57}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Algorithmic learning theory (Reinhardsbrunn Castle, 1994)}, DOI = {10.1007/3-540-58520-6_57}, author = {Freivalds, R\&\#363si\textbackslashcns and Gobleja, Dace and Karpinski, Marek and Smith, Carl H.} } @Incollection { MR1312394, title = {Domain-oriented multilevel methods}, year = {1994}, volume = {180}, pages = {223--229}, url = {https://doi.org/10.1090/conm/180/01974}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}, DOI = {10.1090/conm/180/01974}, author = {Griebel, M.} } @Incollection { MR1286533, title = {Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems}, journal = {Comput. Methods Appl. Mech. Engrg.}, year = {1994}, volume = {116}, number = {1-4}, pages = {243--252}, note = {ICOSAHOM'92 (Montpellier, 1992)}, url = {https://doi.org/10.1016/S0045-7825(94)80029-4}, DOI = {10.1016/S0045-7825(94)80029-4}, author = {Bungartz, H. and Griebel, M. and R{\~A}¼de, U.} } @Incollection { MR1309680, title = {Homological algebra [ MR1056484 (92a:18003b)]}, year = {1994}, volume = {38}, pages = {1--222}, publisher = {Springer, Berlin}, series = {Encyclopaedia Math. Sci.}, booktitle = {Algebra, V}, author = {Gelfand, S. I. and Manin, Yu. I.} } @Incollection { MR1273151, title = {Multilevel algorithms considered as iterative methods on semidefinite systems}, journal = {SIAM J. Sci. Comput.}, year = {1994}, volume = {15}, number = {3}, pages = {547--565}, note = {Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992)}, url = {https://doi.org/10.1137/0915036}, DOI = {10.1137/0915036}, author = {Griebel, Michael} } @Incollection { MR1301130, title = {Parallel point-oriented multilevel methods}, year = {1994}, volume = {116}, pages = {215--232}, publisher = {Birkh{\~A}¤user, Basel}, series = {Internat. Ser. Numer. Math.}, booktitle = {Multigrid methods, IV (Amsterdam, 1993)}, author = {Griebel, Michael} } @Incollection { Grauschopf.Griebel:1994, title = {Parallelization of a multigrid algorithm on the KSR1}, year = {1994}, pages = {63--69}, editor = {M. Brehm, C. Schaller}, publisher = {Leibniz-Rechenzentrum der Bayerischen Akademie derWissenschaften, M{\~A}¼nchen}, series = {LRZ Bericht 9401}, booktitle = {Overview of Research on the Parallel Computer SNI-KSR atthe Leibnitz-Rechenzentrum M{\~A}¼nchen}, author = {Grauschopf, T. and Griebel, M.} } @Incollection { MR1288338, title = {Rigorous results on the Hopfield model of neural networks}, journal = {Resenhas}, year = {1994}, volume = {1}, number = {2-3}, pages = {161--172}, note = {Fifth Latin American Congress of Probability and Mathematical Statistics (Portuguese) (S{\~A}{\pounds}o Paulo, 1993)}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Incollection { MR1312373, title = {Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems}, year = {1994}, volume = {180}, pages = {15--20}, url = {https://doi.org/10.1090/conm/180/01952}, publisher = {Amer. Math. Soc., Providence, RI}, series = {Contemp. Math.}, booktitle = {Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}, DOI = {10.1090/conm/180/01952}, author = {Bungartz, H.-J. and Griebel, M. and R{\~A}¶schke, D. and Zenger, C.} } @Techreport { Griebel.Neunhoeffer:1994, title = {A domain-oriented multilevel algorithm -- implementation and parallelization}, year = {1994}, url = {http://wissrech.ins.uni-bonn.de/research/pub/griebel/sfb18_94.ps.gz}, institution = {SFB Bericht 342/18/94A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen}, author = {Griebel, M. and Neunhoeffer, T.} } @Techreport { Griebel.Huber:1994, title = {Turbulence simulation on sparse grids using the combination method}, year = {1994}, institution = {SFB Bericht 342/19/94A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen}, author = {Griebel, M. and Huber, W.} } @Article { RN292, title = {A Harmonic Anharmonic Energy Partition Method for Lattice Statics Computations}, journal = {Modelling and Simulation in Materials Science and Engineering}, year = {1993}, volume = {1}, number = {4}, pages = {417-436}, url = {://WOS:A1993MP24700007}, type = {Journal Article}, ISSN = {0965-0393}, DOI = {Doi 10.1088/0965-0393/1/4/006}, author = {Gallego, R. and Ortiz, M.} } @Article { MR1239370, title = {Comments on a recent note on the Schr{\~A}¶dinger equation with a {\^I}´'-interaction by B. H. Zhao: {\^a}??Comments on the Schr{\~A}¶dinger equation with {\^I}´'-interaction in one dimension{\^a}?? [J. Phys. A \emph{25}(1992), no. 10, \{L\}617--\{L\}618; MR1166923 (93b:81053)]}, journal = {J. Phys. A}, year = {1993}, volume = {26}, number = {15}, pages = {3903--3904}, url = {http://stacks.iop.org/0305-4470/26/3903}, author = {Albeverio, S. and Gesztesy, F. and Holden, H.} } @Article { MR1219609, title = {Homogenization of non-linearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity}, journal = {Arch. Rational Mech. Anal.}, year = {1993}, volume = {122}, number = {3}, pages = {231--290}, url = {https://doi.org/10.1007/BF00380256}, DOI = {10.1007/BF00380256}, author = {Geymonat, Giuseppe and M{\~A}¼ller, Stefan and Triantafyllidis, Nicolas} } @Article { MR1218937, title = {Multilevel Gauss-Seidel-algorithms for full and sparse grid problems}, journal = {Computing}, year = {1993}, volume = {50}, number = {2}, pages = {127--148}, url = {https://doi.org/10.1007/BF02238610}, DOI = {10.1007/BF02238610}, author = {Griebel, M. and Zenger, C. and Zimmer, S.} } @Article { MR1207352, title = {On a general approach to extinction and blow-up for quasi-linear heat equations}, journal = {Zh. Vychisl. Mat. i Mat. Fiz.}, year = {1993}, volume = {33}, number = {2}, pages = {246--258}, author = {Vel{\~A}¡zquez, J. J. L. and Galaktionov, V. A. and Posashkov, S. A. and Herrero, M. A.} } @Article { MR1155574, title = {On the coefficients of the minimal polynomials of Gaussian periods}, journal = {Math. Comp.}, year = {1993}, volume = {60}, number = {201}, pages = {385--398}, url = {https://doi.org/10.2307/2153175}, DOI = {10.2307/2153175}, author = {Gupta, S. and Zagier, D.} } @Article { MR1233027, title = {Rigorous results on the thermodynamics of the dilute Hopfield model}, journal = {J. Statist. Phys.}, year = {1993}, volume = {72}, number = {1-2}, pages = {79--112}, url = {https://doi.org/10.1007/BF01048041}, DOI = {10.1007/BF01048041}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { Griebel.Thurner:1993, title = {Solving CFD-problems efficiently by the combination method}, journal = {CFD-news}, year = {1993}, volume = {3}, number = {4}, pages = {19--31}, author = {Griebel, M. and Thurner, V.} } @Article { MR1243715, title = {Spectral properties of one-dimensional Schr{\~A}¶dinger operators with potentials generated by substitutions}, journal = {Comm. Math. Phys.}, year = {1993}, volume = {158}, number = {1}, pages = {45--66}, url = {http://projecteuclid.org/euclid.cmp/1104254130}, author = {Bovier, Anton and Ghez, Jean-Michel} } @Article { Griebel.Thurner:1993*1, title = {The efficient solution of fluid dynamics problems by thecombination method}, journal = {Int. J. Num. Meth. for Heat and Fluid Flow}, year = {1993}, volume = {5}, pages = {251--269}, author = {Griebel, M. and Thurner, V.} } @Article { MR1239568, title = {The thermodynamics of the Curie-Weiss model with random couplings}, journal = {J. Statist. Phys.}, year = {1993}, volume = {72}, number = {3-4}, pages = {643--664}, url = {https://doi.org/10.1007/BF01048027}, DOI = {10.1007/BF01048027}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Incollection { Griebel.Huber.Zenger:1993, title = {A fast Poisson solver for turbulence simulation on a parallel computers using sparse grids}, year = {1993}, volume = {38}, pages = {101--113}, editor = {E. H. Hirschel}, publisher = {Vieweg}, series = {Notes Numer. Fluid Mech.}, booktitle = {Flow Simulation with High-performance Computers I}, author = {Griebel, M. and Huber, W. and Zenger, C.} } @Incollection { MR1251977, title = {A zero-test and an interpolation algorithm for the shifted sparse polynomials}, year = {1993}, volume = {673}, pages = {162--169}, url = {https://doi.org/10.1007/3-540-56686-4_41}, publisher = {Springer, Berlin}, series = {Lecture Notes in Comput. Sci.}, booktitle = {Applied algebra, algebraic algorithms and error-correcting codes (San Juan, PR, 1993)}, DOI = {10.1007/3-540-56686-4_41}, author = {Grigoriev, Dima and Karpinski, Marek} } @Incollection { MR1230860, title = {Computational complexity of sparse real algebraic function interpolation}, year = {1993}, volume = {109}, pages = {91--104}, url = {https://doi.org/10.1007/978-1-4612-2752-6_7}, publisher = {Birkh{\~A}¤user Boston, Boston, MA}, series = {Progr. Math.}, booktitle = {Computational algebraic geometry (Nice, 1992)}, DOI = {10.1007/978-1-4612-2752-6_7}, author = {Grigoriev, D. and Karpinski, M. and Singer, M. F.} } @Incollection { MR1207144, title = {Discrete Schr{\~A}¶dinger operators with potentials generated by substitutions}, year = {1993}, volume = {192}, pages = {13--23}, url = {https://doi.org/10.1016/S0076-5392(08)62368-1}, publisher = {Academic Press, Boston, MA}, series = {Math. Sci. Engrg.}, booktitle = {Differential equations with applications to mathematical physics}, DOI = {10.1016/S0076-5392(08)62368-1}, author = {Bellissard, Jean and Bovier, Anton and Ghez, Jean-Michel} } @Incollection { MR1239217, title = {Eine Kombinationstechnik f{\~A}¼r die L{\~A}¶sung von D{\~A}¼nn-Gitter-Problemen auf Multiprozessor-Maschinen}, year = {1993}, pages = {67--79}, publisher = {Teubner, Stuttgart}, series = {Teubner Skr. Numer.}, booktitle = {Numerische Algorithmen auf Transputer-Systemen (Heidelberg, 1991)}, author = {Griebel, Michael} } @Incollection { MR1232470, title = {Grid- and point-oriented multilevel algorithms}, year = {1993}, volume = {41}, pages = {32--46}, url = {https://doi.org/10.1007/978-3-322-85732-3_4}, publisher = {Friedr. Vieweg, Braunschweig}, series = {Notes Numer. Fluid Mech.}, booktitle = {Incomplete decomposition (\{ILU\})---algorithms, theory and applications (Kiel, 1992)}, DOI = {10.1007/978-3-322-85732-3_4}, author = {Griebel, Michael} } @Incollection { MR1267959, title = {Lower bounds on the memory capacity of the dilute Hopfield model}, year = {1993}, volume = {396}, pages = {55--66}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.}, booktitle = {Cellular automata and cooperative systems (Les Houches, 1992)}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Incollection { MR1340428, title = {Nonstandard representation of nonnormal traces}, year = {1993}, pages = {1--11}, publisher = {World Sci. Publ., River Edge, NJ}, series = {Bielefeld Encount. Math. Phys., VIII}, booktitle = {Dynamics of complex and irregular systems (Bielefeld, 1991)}, author = {Albeverio, S. and Guido, D. and Ponosov, A. and Scarlatti, S.} } @Incollection { MR1267960, title = {Schr{\~A}¶dinger operators with substitution potentials}, year = {1993}, volume = {396}, pages = {67--83}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.}, booktitle = {Cellular automata and cooperative systems (Les Houches, 1992)}, author = {Bovier, Anton and Ghez, Jean-Michel} } @Incollection { Griebel:1993*3, title = {Sparse grid multilevel methods, their parallelization and their application to CFD}, year = {1993}, pages = {161--174}, editor = {J. H{\~A}¤ser}, publisher = {Elsevier}, address = {New Brunswick}, booktitle = {Parallel Computational Fluid Dynamics 92}, author = {Griebel, M.} } @Incollection { MR1340448, title = {The Hopfield model on random graphs: lower bounds on the storage capacity}, year = {1993}, pages = {277--288}, publisher = {World Sci. Publ., River Edge, NJ}, series = {Bielefeld Encount. Math. Phys., VIII}, booktitle = {Dynamics of complex and irregular systems (Bielefeld, 1991)}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Inproceedings { Griebel.Zimmer:1993, title = {Adaptive point block methods}, year = {1993}, volume = {46}, pages = {142--157}, editor = {Hackbusch, W. and Wittum, G.}, publisher = {Vieweg Verlag, Braunschweig}, booktitle = {Adaptive Methods: Algorithms, Theory and Applications, Notes on Numerical Fluid Mechanics}, author = {Griebel, M. and Zimmer, S.} } @Inproceedings { Griebel.Huber.Stortkuhl.ea:1993, title = {On the parallel solution of 3D PDEs on a network of workstations and on vector computers}, year = {1993}, pages = {276--291}, editor = {A. Bode and M. Dal Cin}, publisher = {Springer Verlag}, booktitle = {Lecture Notes in Computer Science 732, Parallel Computer Architectures: Theory, Hardware, Software, Applications}, author = {Griebel, M. and Huber, W. and St{\~A}¶rtkuhl, T. and Zenger, C.} } @Inproceedings { Griebel:1993*1, title = {Sparse grid multilevel methods, their parallelization, and their applications to CFD}, year = {1993}, pages = {161--174}, editor = {J. H{\~A}¤user}, publisher = {New Brunswick, USA, Elsevier}, booktitle = {Parallel Computational Fluid Dynamics 92}, author = {Griebel, M.} } @Techreport { Griebel.Oswald:1993, title = {Remarks on the theory of additive and multiplicative Schwarz algorithms}, year = {1993}, institution = {Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen}, type = {SFB report 342/6/93A}, author = {Griebel, M. and Oswald, P.} } @Techreport { Gartel.Griebel.Huber.ea:1993, title = {The parallel ASMG algorithm for 3D Poisson-like equations on multi-workstations}, year = {1993}, note = {Arbeitpapiere der GMD 767}, institution = {GMD St. Augustin}, author = {G{\~A}¤rtel, U. and Griebel, M. and Huber, W. and Schwichtenberg, H. and St{\~A}¶rtkuhl, T. and Trottenberg, U. and Winter, G. and Zenger, C.} } @Article { MR1209478, title = {Choice of bandwidth for kernel regression when residuals are correlated}, journal = {Biometrika}, year = {1992}, volume = {79}, number = {4}, pages = {783--795}, url = {https://doi.org/10.1093/biomet/79.4.783}, DOI = {10.1093/biomet/79.4.783}, author = {Herrmann, Eva and Gasser, Theo and Kneip, Alois} } @Article { MR1160136, title = {Gap labelling theorems for one-dimensional discrete Schr{\~A}¶dinger operators}, journal = {Rev. Math. Phys.}, year = {1992}, volume = {4}, number = {1}, pages = {1--37}, url = {https://doi.org/10.1142/S0129055X92000029}, DOI = {10.1142/S0129055X92000029}, author = {Bellissard, Jean and Bovier, Anton and Ghez, Jean-Michel} } @Article { MR1193852, title = {Rigorous bounds on the storage capacity of the dilute Hopfield model}, journal = {J. Statist. Phys.}, year = {1992}, volume = {69}, number = {3-4}, pages = {597--627}, url = {https://doi.org/10.1007/BF01050427}, DOI = {10.1007/BF01050427}, author = {Bovier, Anton and Gayrard, V{\~A}©ronique} } @Article { MR1186250, title = {Statistical tools to analyze data representing a sample of curves}, journal = {Ann. Statist.}, year = {1992}, volume = {20}, number = {3}, pages = {1266--1305}, url = {https://doi.org/10.1214/aos/1176348769}, DOI = {10.1214/aos/1176348769}, author = {Kneip, Alois and Gasser, Theo} } @Article { Griebel:1992*2, title = {The combination technique for the sparse grid solution of PDEs on multiprocessor machines}, journal = {Parallel Processing Letters}, year = {1992}, volume = {2}, number = {1}, pages = {61--70}, note = {also as SFB Bericht 342/14/91 A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen, 1991}, author = {Griebel, M.} } @Book { MR1175627, title = {Rational points}, year = {1992}, pages = {x+311}, note = {Papers from the seminar held at the Max-Planck-Institut f{\~A}¼r Mathematik, Bonn/Wuppertal, 1983/1984, With an appendix by W{\~A}¼stholz}, url = {https://doi.org/10.1007/978-3-322-80340-5}, publisher = {Friedr. Vieweg \& Sohn, Braunschweig}, series = {Aspects of Mathematics, E6}, edition = {Third}, ISBN = {3-528-28593-1}, DOI = {10.1007/978-3-322-80340-5}, author = {Faltings, Gerd and W{\~A}¼stholz, Gisbert and Grunewald, Fritz and Schappacher, Norbert and Stuhler, Ulrich} } @Incollection { MR1159736, title = {A combination technique for the solution of sparse grid problems}, year = {1992}, pages = {263--281}, publisher = {North-Holland, Amsterdam}, booktitle = {Iterative methods in linear algebra (Brussels, 1991)}, author = {Griebel, Michael and Schneider, Michael and Zenger, Christoph} } @Incollection { MR1190539, title = {Morphology and classification of galaxies. A stochastic model}, year = {1992}, pages = {447--460}, publisher = {Cambridge Univ. Press, Cambridge}, booktitle = {Ideas and methods in quantum and statistical physics (Oslo, 1988)}, author = {Albeverio, Sergio and Blanchard, Philippe and Gandolfo, Daniel and H{\~A}¸ egh-Krohn, Raphael and Mebkhout, Mohamed} } @Incollection { Griebel.Huber.Rude.ea:1992, title = {The combination technique for parallel sparse-grid-preconditioning or -solution of PDEs on workstation networks}, year = {1992}, pages = {217--228}, editor = {Bouge, L. and Cosnard, M. and Robert, Y. and Trystram, D.}, publisher = {Springer}, address = {Berlin}, series = {Lecture Notes in Computer Science 634}, booktitle = {Parallel Processing: CONPAR92-VAPP V}, author = {Griebel, M. and Huber, W. and R{\~A}¼de, U. and St{\~A}¶rtkuhl, T.} } @Incollection { MR1167841, title = {The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach}, year = {1992}, volume = {7}, pages = {215--236}, url = {https://doi.org/10.1007/978-1-4612-0393-3_16}, publisher = {Birkh{\~A}¤user Boston, Boston, MA}, series = {Progr. Nonlinear Differential Equations Appl.}, booktitle = {Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989)}, DOI = {10.1007/978-1-4612-0393-3_16}, author = {Galaktionov, V. A. and Herrero, M. A. and Vel{\~A}¡zquez, J. J. L.} } @Inproceedings { Griebel:1992*1, title = {Multilevel algorithms considered as iterative methods on indefinite systems}, year = {1992}, note = {also as SFB Bericht, 342/29/91 A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen, 1991}, editor = {Manteuffel, T.}, publisher = {University of Colorado at Denver}, booktitle = {Proceedings of the 2nd Copper Mountain Conference on Iterative Methods}, author = {Griebel, M.} } @Techreport { Griebel.Zenger.Zimmer:1992, title = {Improved multilevel algorithms for full and sparse grid problems}, year = {1992}, institution = {Technische Universit{\~A}¤t M{\~A}¼nchen}, type = {SFB-Report 342/15/92 A}, author = {Griebel, M. and Zenger, C. and Zimmer, S.} } @Article { MR1147088, title = {A flexible and fast method for automatic smoothing}, journal = {J. Amer. Statist. Assoc.}, year = {1991}, volume = {86}, number = {415}, pages = {643--652}, url = {http://links.jstor.org/sici?sici=0162-1459(199109)86:415<643:AFAFMF>2.0.CO;2-9\&origin=MSN}, author = {Gasser, Theo and Kneip, Alois and K{\~A}¶hler, Walter} } @Article { MR1118118, title = {On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields}, journal = {Theoret. Comput. Sci.}, year = {1991}, volume = {84}, number = {2, Algorithms Automat. Complexity Games}, pages = {151--164}, url = {https://doi.org/10.1016/0304-3975(91)90157-W}, DOI = {10.1016/0304-3975(91)90157-W}, author = {Clausen, Michael and Dress, Andreas and Grabmeier, Johannes and Karpinski, Marek} } @Article { MR1087389, title = {Spectral properties of a tight binding Hamiltonian with period doubling potential}, journal = {Comm. Math. Phys.}, year = {1991}, volume = {135}, number = {2}, pages = {379--399}, url = {http://projecteuclid.org/euclid.cmp/1104202031}, author = {Bellissard, Jean and Bovier, Anton and Ghez, Jean-Michel} } @Article { GKZLP1991, title = {The dynamics of growth of width in distance, velocity and acceleration}, journal = {Annals of Human Biology}, year = {1991}, volume = {18}, pages = {449-461}, author = {Gasser, T. and Kneip, A. and Ziegler, P. and Largo, R. and Prader, A.} } @Article { GKBPM1991, title = {The dynamics of linear growth in distance, velocity and acceleration}, journal = {Annals of Human Biology}, year = {1991}, volume = {18}, pages = {187-205}, author = {Gasser, T. and Kneip, A. and Binding, A. and Prader, A. and Molinari, L.} } @Article { MR1091824, title = {The interpolation problem for k-sparse sums of eigenfunctions of operators}, journal = {Adv. in Appl. Math.}, year = {1991}, volume = {12}, number = {1}, pages = {76--81}, url = {https://doi.org/10.1016/0196-8858(91)90005-4}, DOI = {10.1016/0196-8858(91)90005-4}, author = {Grigoriev, Dima Yu. and Karpinski, Marek and Singer, Michael F.} } @Article { MR1107061, title = {The space structure near a blow-up point for semilinear heat equations: a formal approach}, journal = {Zh. Vychisl. Mat. i Mat. Fiz.}, year = {1991}, volume = {31}, number = {3}, pages = {399--411}, author = {Vel{\~A}¡zquez, J. J. L. and Galaktionov, V. A. and Herrero, M. A.} } @Book { Griebel.Reithmeir:1991, title = {Senegal mit Gambia und Mauretanien}, year = {1991}, volume = {33}, note = {2., {\~A}¼berarbeitete Auflage.}, publisher = {Hayit Verlag, K{\~A}¶ln}, series = {Preiswert reisen}, author = {Griebel, Michael and Reithmeir, Claudia} } @Book { MR1225369, title = {\textbackslashcyr Reshaemye modeli v kvantovo? \textbackslashcyr mekhanike}, year = {1991}, pages = {568}, note = {Translated from the 1988 English original by V. A. Ge\&\#301;ler, Yu. A. Kuperin and K. A. Makarov, With an introduction by B. S. Pavlov and an appendix by Makarov}, publisher = {{\^a}??Mir{\^a}??, Moscow}, ISBN = {5-03-001905-7}, author = {Albeverio, S. and Gestezi, F. and Kh{\~A}«{\~A}¨g-Kron, R. and Khol den, Kh.} } @Incollection { MR1167870, title = {A parallelizable and vectorizable multi-level algorithm on sparse grids}, year = {1991}, volume = {31}, pages = {94--100}, publisher = {Friedr. Vieweg, Braunschweig}, series = {Notes Numer. Fluid Mech.}, booktitle = {Parallel algorithms for partial differential equations (Kiel, 1990)}, author = {Griebel, M.} } @Incollection { MR1177214, title = {An approximation algorithm for the number of zeros of arbitrary polynomials over \{GF[q]\}}, year = {1991}, pages = {662--669}, url = {https://doi.org/10.1109/SFCS.1991.185433}, publisher = {IEEE Comput. Soc. Press, Los Alamitos, CA}, booktitle = {32nd Annual Symposium on Foundations of Computer Science (San Juan, PR, 1991)}, DOI = {10.1109/SFCS.1991.185433}, author = {Grigoriev, Dima and Karpinski, Marek} } @Incollection { MR1154322, title = {Analysis of samples of curves}, year = {1991}, volume = {335}, pages = {99--110}, url = {https://doi.org/10.1007/978-94-011-3222-0_7}, publisher = {Kluwer Acad. Publ., Dordrecht}, series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.}, booktitle = {Nonparametric functional estimation and related topics (Spetses, 1990)}, DOI = {10.1007/978-94-011-3222-0_7}, author = {Gasser, Theo and Kneip, Alois} } @Incollection { MR1131558, title = {Parallel multigrid methods on sparse grids}, year = {1991}, volume = {98}, pages = {211--221}, publisher = {Birkh{\~A}¤user, Basel}, series = {Internat. Ser. Numer. Math.}, booktitle = {Multigrid methods, III (Bonn, 1990)}, author = {Griebel, Michael} } @Inproceedings { Karp:GK91, title = {Algorithms for Sparse Rational Interpolation}, year = {1991}, pages = {7--13}, publisher = {ACM}, address = {New York}, booktitle = {ISSAC}, DOI = {10.1145/120694.120696}, author = {Grigoriev, Dima and Karpinski, Marek} } @Article { RN309, title = {Crack-Propagation in Monolithic Ceramics under Mixed-Mode Loading}, journal = {International Journal of Fracture}, year = {1990}, volume = {44}, number = {4}, pages = {233-258}, url = {://WOS:A1990DY89000001}, type = {Journal Article}, ISSN = {0376-9429}, author = {Ortiz, M. and Giannakopoulos, A. E.} } @Article { MR1069099, title = {Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields}, journal = {SIAM J. Comput.}, year = {1990}, volume = {19}, number = {6}, pages = {1059--1063}, url = {https://doi.org/10.1137/0219073}, DOI = {10.1137/0219073}, author = {Grigoriev, Dima Yu. and Karpinski, Marek and Singer, Michael F.} } @Article { RN313, title = {Mixed-Mode Crack-Tip Fields in Monolithic Ceramics}, journal = {International Journal of Solids and Structures}, year = {1990}, volume = {26}, number = {7}, pages = {705-723}, url = {://WOS:A1990CZ49400002}, type = {Journal Article}, ISSN = {0020-7683}, DOI = {Doi 10.1016/0020-7683(90)90002-D}, author = {Ortiz, M. and Giannakopoulos, A. E.} } @Article { MR1084053, title = {Quelques remarques sur l'homog{\~A}©n{\~A}©isation des mat{\~A}©riaux {\~A}©lastiques nonlin{\~A}©aires}, journal = {C. R. Acad. Sci. Paris S{\~A}©r. I Math.}, year = {1990}, volume = {311}, number = {13}, pages = {911--916}, author = {Geymonat, Giuseppe and M{\~A}¼ller, Stefan and Triantafyllidis, Nicolas} } @Incollection { MR1150733, title = {Interpolation of sparse rational functions without knowing bounds on exponents}, year = {1990}, pages = {840--846}, publisher = {IEEE Comput. Soc. Press, Los Alamitos, CA}, booktitle = {31st Annual Symposium on Foundations of Computer Science, Vol. I, II (St. Louis, MO, 1990)}, author = {Grigoriev, Dima Yu. and Karpinski, Marek and Singer, Michael F.} } @Techreport { Griebel:1990, title = {Zur L{\~A}¶sung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen Transformations-Mehrgitter-Methode}, year = {1990}, institution = {SFB Bericht 342/4/90 A, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen}, author = {Griebel, M.} } @Article { RN319, title = {Maximal Crack Tip Shielding by Microcracking}, journal = {Journal of Applied Mechanics-Transactions of the Asme}, year = {1989}, volume = {56}, number = {2}, pages = {279-283}, url = {://WOS:000207978600007}, type = {Journal Article}, ISSN = {0021-8936}, DOI = {10.1115/1.3176079}, author = {Ortiz, M. and Giannakopoulos, A. E.} } @Article { MR1021330, title = {Repudiation and renegotiation: the case of sovereign debt}, journal = {Internat. Econom. Rev.}, year = {1989}, volume = {30}, number = {1}, pages = {3--31}, url = {https://doi.org/10.2307/2526545}, DOI = {10.2307/2526545}, author = {Gale, Douglas and Hellwig, Martin} } @Article { MR1008139, title = {The problem of selecting the shape functions for a p-type finite element}, journal = {Internat. J. Numer. Methods Engrg.}, year = {1989}, volume = {28}, number = {8}, pages = {1891--1908}, url = {https://doi.org/10.1002/nme.1620280813}, DOI = {10.1002/nme.1620280813}, author = {Babuska, I. and Griebel, M. and Pitk{\~A}¤ranta, J.} } @Article { MR1023842, title = {The weak axiom of revealed preference in a productive economy}, journal = {Rev. Econom. Stud.}, year = {1989}, volume = {56}, number = {4}, pages = {635--639}, url = {https://doi.org/10.2307/2297506}, DOI = {10.2307/2297506}, author = {Grodal, B. and Hildenbrand, W.} } @Incollection { MR1036761, title = {Examples and algorithmic properties of greedoids}, year = {1989}, volume = {1403}, pages = {113--161}, url = {https://doi.org/10.1007/BFb0083463}, publisher = {Springer, Berlin}, series = {Lecture Notes in Math.}, booktitle = {Combinatorial optimization (Como, 1986)}, DOI = {10.1007/BFb0083463}, author = {Goecke, O. and Korte, B. and Lov{\~A}¡sz, L.} } @Incollection { MR1056484, title = {Homological algebra}, year = {1989}, pages = {5--240}, publisher = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow}, series = {Itogi Nauki i Tekhniki}, booktitle = {Current problems in mathematics. Fundamental directions, Vol. 38 (Russian)}, author = {Gelfand, S. I. and Manin, Yu. I.} } @Incollection { MR1009843, title = {Point interaction Hamiltonians for crystals with random defects}, year = {1989}, volume = {324}, pages = {87--99}, url = {https://doi.org/10.1007/BFb0022960}, publisher = {Springer, Berlin}, series = {Lecture Notes in Phys.}, booktitle = {Applications of selfadjoint extensions in quantum physics (Dubna, 1987)}, DOI = {10.1007/BFb0022960}, author = {Albeverio, S. and Figari, R. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Holden, H. and Kirsch, W.} } @Article { MR924858, title = {Convergence and consistency results for self-modeling nonlinear regression}, journal = {Ann. Statist.}, year = {1988}, volume = {16}, number = {1}, pages = {82--112}, url = {https://doi.org/10.1214/aos/1176350692}, DOI = {10.1214/aos/1176350692}, author = {Kneip, Alois and Gasser, Theo} } @Book { Griebel.Reithmeir:1988, title = {Senegal mit Gambia und Mauretanien}, year = {1988}, publisher = {Hayit Verlag, K{\~A}¶ln}, author = {Griebel, Michael and Reithmeir, Claudia} } @Book { MR926273, title = {Solvable models in quantum mechanics}, year = {1988}, pages = {xiv+452}, url = {https://doi.org/10.1007/978-3-642-88201-2}, publisher = {Springer-Verlag, New York}, series = {Texts and Monographs in Physics}, ISBN = {0-387-17841-4}, DOI = {10.1007/978-3-642-88201-2}, author = {Albeverio, Sergio and Gesztesy, Friedrich and H{\~A}¸ egh-Krohn, Raphael and Holden, Helge} } @Book { MR986494, title = {\textbackslashcyr Metody gomologichesko? \textbackslashcyr algebry. Tom 1}, year = {1988}, pages = {416}, note = {\textbackslashcyr Vvedenie v teoriyu kogomologi? \textbackslashcyr i proizvodnye kategorii. [Introduction to the theory of cohomology, and derived categories], With an English summary}, publisher = {{\^a}??Nauka{\^a}??, Moscow}, ISBN = {5-02-014414-2}, author = {Gel fand, S. I. and Manin, Yu. I.} } @Article { MR909214, title = {Curriculum vitae mathematicae}, journal = {Math. Ann.}, year = {1987}, volume = {278}, number = {1-4}, pages = {iii--viii}, note = {Dual German and English texts}, url = {https://doi.org/10.1007/BF01458056}, DOI = {10.1007/BF01458056}, author = {Grauert, H. and Harder, G. and Remmert, R.} } @Article { MR909238, title = {Heegner points and derivatives of L-series. II}, journal = {Math. Ann.}, year = {1987}, volume = {278}, number = {1-4}, pages = {497--562}, url = {https://doi.org/10.1007/BF01458081}, DOI = {10.1007/BF01458081}, author = {Gross, B. and Kohnen, W. and Zagier, D.} } @Article { MR916201, title = {Point interactions in two dimensions: basic properties, approximations and applications to solid state physics}, journal = {J. Reine Angew. Math.}, year = {1987}, volume = {380}, pages = {87--107}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Holden, H.} } @Techreport { Griebel:1987, title = {On the combination of the ideas of multilevel solvers using hierarchical bases and the substructuring technique for the finite element method}, year = {1987}, institution = {Bericht I8709, Institut f{\~A}¼r Informatik, TU M{\~A}¼nchen}, author = {Griebel, M.} } @Article { MR833192, title = {Heegner points and derivatives of L-series}, journal = {Invent. Math.}, year = {1986}, volume = {84}, number = {2}, pages = {225--320}, url = {https://doi.org/10.1007/BF01388809}, DOI = {10.1007/BF01388809}, author = {Gross, Benedict H. and Zagier, Don B.} } @Article { MR863831, title = {Lines and domain walls in dilute ferromagnets}, journal = {Phys. Rev. B (3)}, year = {1986}, volume = {34}, number = {9}, pages = {6409--6414}, url = {https://doi.org/10.1103/PhysRevB.34.6409}, DOI = {10.1103/PhysRevB.34.6409}, author = {Bovier, Anton and Fr{\~A}¶hlich, J{\~A}¼rg and Glaus, Ueli} } @Book { MR863887, title = {Rational points}, year = {1986}, pages = {vi+268}, note = {Papers from the seminar held at the Max-Planck-Institut f{\~A}¼r Mathematik, Bonn/Wuppertal, 1983/1984}, url = {https://doi.org/10.1007/978-3-663-06812-9}, publisher = {Friedr. Vieweg \& Sohn, Braunschweig}, series = {Aspects of Mathematics, E6}, edition = {Second}, ISBN = {3-528-18593-7}, DOI = {10.1007/978-3-663-06812-9}, author = {Faltings, Gerd and W{\~A}¼stholz, Gisbert and Grunewald, Fritz and Schappacher, Norbert and Stuhler, Ulrich} } @Book { MR915553, title = {\textbackslashcyr Yadro i ravnovesie v bol sho? {\~A}¨\textbackslashcyr konomike}, year = {1986}, pages = {199}, note = {Translated from the English by O. N. Vorob eva, G. P. Lyapunova and V. Yu. Lisitsyn, Translation edited and with a preface by N. N. Vorob ev}, publisher = {{\^a}??Nauka{\^a}??, Moscow}, series = {{\~A}?\textbackslashcyr konomiko-\textbackslashcyr Matematicheskaya Biblioteka. [Library of Mathematical Economics]}, author = {Gil denbrand, V.} } @Incollection { MR869594, title = {The Schr{\~A}¶dinger operator for a particle in a solid with deterministic and stochastic point interactions}, year = {1986}, volume = {1218}, pages = {1--38}, url = {https://doi.org/10.1007/BFb0073042}, publisher = {Springer, Berlin}, series = {Lecture Notes in Math.}, booktitle = {Schr{\~A}¶dinger operators, Aarhus 1985}, DOI = {10.1007/BFb0073042}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Holden, H. and Kirsch, W.} } @Inproceedings { Griebel:1986, title = {Baumartige Strukturierung linearer Gleichungssysteme mit d{\~A}¼nn besiedelter Matrix}, year = {1986}, pages = {105--115}, booktitle = {Berichte aus den Informatikinstituten, 9. Jahrestagung der {\~A}¶sterreichischen Gesellschaft f{\~A}¼r Informatik}, organization = {Fakult{\~A}¤t f{\~A}¼r Mathematik und Informatik, Universit{\~A}¤t Passau, Bericht MIP-8604}, author = {Griebel, M.} } @Inproceedings { Griebel:1986*1, title = {Ein gemeinsamer Datentyp f{\~A}¼r eine Baumstrukturierung bei der Methode der finiten Elemente und beim geometrischen Modellieren}, year = {1986}, pages = {543--557}, publisher = {VDI-Verlag}, booktitle = {VDI-Bericht 610.5 Datenverarbeitung in der Konstruktion '86, CAD und Informatik}, author = {Griebel, M.} } @Article { MR772491, title = {On singular moduli}, journal = {J. Reine Angew. Math.}, year = {1985}, volume = {355}, pages = {191--220}, author = {Gross, Benedict H. and Zagier, Don B.} } @Article { MR777279, title = {On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3}, journal = {Math. Comp.}, year = {1985}, volume = {44}, number = {170}, pages = {473--481}, url = {https://doi.org/10.2307/2007967}, DOI = {10.2307/2007967}, author = {Buhler, Joe P. and Gross, Benedict H. and Zagier, Don B.} } @Article { MR803798, title = {On the connection between Schr{\~A}¶dinger and Dirichlet forms}, journal = {J. Math. Phys.}, year = {1985}, volume = {26}, number = {10}, pages = {2546--2553}, url = {https://doi.org/10.1063/1.526771}, DOI = {10.1063/1.526771}, author = {Albeverio, S. and Gesztesy, F. and Karwowski, W. and Streit, L.} } @Book { MR823981, title = {Manifolds of nonpositive curvature}, year = {1985}, volume = {61}, pages = {vi+263}, url = {https://doi.org/10.1007/978-1-4684-9159-3}, publisher = {Birkh{\~A}¤user Boston, Inc., Boston, MA}, series = {Progress in Mathematics}, ISBN = {0-8176-3181-X}, DOI = {10.1007/978-1-4684-9159-3}, author = {Ballmann, Werner and Gromov, Mikhael and Schroeder, Viktor} } @Incollection { MR805999, title = {Quantum mechanical low energy scattering in terms of diffusion processes}, year = {1985}, volume = {1109}, pages = {207--227}, url = {https://doi.org/10.1007/BFb0101546}, publisher = {Springer, Berlin}, series = {Lecture Notes in Math.}, booktitle = {Stochastic aspects of classical and quantum systems (Marseille, 1983)}, DOI = {10.1007/BFb0101546}, author = {Albeverio, S. and Blanchard, Ph. and Gesztesy, F. and Streit, L.} } @Article { MR734284, title = {Model dependence of Coulomb-corrected scattering lengths}, journal = {Phys. Rev. C (3)}, year = {1984}, volume = {29}, number = {2}, pages = {680--683}, url = {https://doi.org/10.1103/PhysRevC.29.680}, DOI = {10.1103/PhysRevC.29.680}, author = {Albeverio, S. and Ferreira, L. S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Streit, L.} } @Article { MR757115, title = {On point interactions in one dimension}, journal = {J. Operator Theory}, year = {1984}, volume = {12}, number = {1}, pages = {101--126}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Kirsch, W.} } @Article { GKMKLM1984, title = {Velocity and Acceleration of height growth using kernel estimation}, journal = {Annals of Human Biology}, year = {1984}, volume = {11}, pages = {397-411}, author = {Gasser, T. and K{\~A}¶hler, W. and M{\~A}¼ller, H.G. and Kneip, A. and Largo, R. and Molinari, L.} } @Inproceedings { MR763518, title = {Some exactly solvable models in quantum mechanics and the low energy expansions}, year = {1984}, volume = {67}, pages = {12--28}, publisher = {Teubner, Leipzig}, series = {Teubner-Texte Math.}, booktitle = {Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics (Leipzig, 1983)}, author = {Albeverio, S. and H{\~A}¸ egh-Krohn, R. and Gesztesy, F. and Holden, H.} } @Article { MR708965, title = {Charged particles with short range interactions}, journal = {Ann. Inst. H. Poincar{\~A}© Sect. A (N.S.)}, year = {1983}, volume = {38}, number = {3}, pages = {263--293}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R. and Streit, L.} } @Article { MR714194, title = {Low-energy parameters in nonrelativistic scattering theory}, journal = {Ann. Physics}, year = {1983}, volume = {148}, number = {2}, pages = {308--326}, url = {https://doi.org/10.1016/0003-4916(83)90242-7}, DOI = {10.1016/0003-4916(83)90242-7}, author = {Albeverio, S. and Boll{\~A}©, D. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R.} } @Article { MR720914, title = {Points de Heegner et d{\~A}©riv{\~A}©es de fonctions L}, journal = {C. R. Acad. Sci. Paris S{\~A}©r. I Math.}, year = {1983}, volume = {297}, number = {2}, pages = {85--87}, author = {Gross, Benedict and Zagier, Don} } @Article { GKV1982, title = {Modification of the EEG time constant by digital filtering}, journal = {Psychophysiology}, year = {1982}, volume = {19}, pages = {237-240}, author = {Gasser, T. and Kneip, A. and Verleger, R.} } @Article { MR667880, title = {The low energy expansion in nonrelativistic scattering theory}, journal = {Ann. Inst. H. Poincar{\~A}© Sect. A (N.S.)}, year = {1982}, volume = {37}, number = {1}, pages = {1--28}, author = {Albeverio, S. and Gesztesy, F. and H{\~A}¸ egh-Krohn, R.} } @Article { MR575207, title = {An instanton is determined by its complex singularities}, journal = {Funktsional. Anal. i Prilozhen.}, year = {1980}, volume = {14}, number = {2}, pages = {48--49}, author = {Be\&\#301;linson, A. A. and Gel fand, S. I. and Manin, Ju. I.} } @Article { MR608638, title = {On the critical values of Hecke L-series}, journal = {M{\~A}©m. Soc. Math. France (N.S.)}, year = {1980}, number = {2}, pages = {49--54}, note = {Abelian functions and transcendental numbers (Colloq., {\~A}?cole Polytech., Palaiseau, 1979) (French)}, author = {Gross, Benedict H. and Zagier, Don} } @Article { MR553970, title = {Some results for the exponential interaction in two or more dimensions}, journal = {Comm. Math. Phys.}, year = {1979}, volume = {70}, number = {2}, pages = {187--192}, url = {http://projecteuclid.org/euclid.cmp/1103907298}, author = {Albeverio, S. and Gallavotti, G. and H{\~A}¸ egh-Krohn, R.} } @Article { MR0440612, title = {Poisson brackets and the kernel of the variational derivative in the formal calculus of variations}, journal = {Funkcional. Anal. i Prilozen.}, year = {1976}, volume = {10}, number = {4}, pages = {30--34}, author = {Gel fand, I. M. and Manin, Ju. I. and Subin, M. A.} } @Article { MR436928, title = {Stochastic processes of temporary equilibria}, journal = {J. Math. Econom.}, year = {1974}, volume = {1}, number = {3}, pages = {247--277}, url = {https://doi.org/10.1016/0304-4068(74)90016-0}, DOI = {10.1016/0304-4068(74)90016-0}, author = {Grandmont, Jean-Michel and Hildenbrand, Werner} } @Article { MR0289235, title = {Galina Nikolaevna Tjurina. Obituary}, journal = {Uspehi Mat. Nauk}, year = {1971}, volume = {26}, number = {1}, pages = {207--211. (1 plate)}, author = {Arnol d, V. I. and Gel fand, I. M. and Manin, Ju. I. and Mo\&\#301;sezon, B. G. and Novikov, S. P. and Safarevic, I. R.} } @Article { MR283005, title = {Ein Residuensatz f{\~A}¼r symmetrische Bilinearformen}, journal = {Invent. Math.}, year = {1970}, volume = {11}, pages = {319--328}, url = {https://doi.org/10.1007/BF01403186}, DOI = {10.1007/BF01403186}, author = {Geyer, W.-D. and Harder, G. and Knebusch, M. and Scharlau, W.} }