Prof. Dr. Michael Griebel

E-mail: griebel(at)
Phone: +49 228 73-69829
Room: 3.019
Location: Friedrich-Hirzebruch-Allee 7
Institute: Institute for Numerical Simulation
Fraunhofer Institute for Algorithms and Scientific Computing
Research Areas: Research Area B2
Research Area C4
Interdisciplinary Research Unit D1

Academic Career


Diploma in Computer Science, TU Munich (advisor: F. L. Bauer)

1985 - 1990

Research Assistant, Institute for Informatics, TU Munich


PhD in Computer Science, TU Munich (advisor: C. Zenger)

1990 - 1993

Assistant Professor (C1), Institute for Informatics, TU Munich


Habilitation in Computer Science, TU Munich (advisor: C. Zenger)

1994 - 1995

Assistant Professor (C2, Wissenschaftlicher Oberassistent), Institute for Informatics, TU Munich


Venia Legendi in Computer Science, TU Munich

1995 - 1995

Priv.-Doz., Institute for Informatics, TU Munich

Since 1996

Professor (C4) of Scientific Computing and Numerical Simulation, University of Bonn


Visiting Professor, University of California, San Diego, CA, USA

2003 - 2016

Founding Director, Institute for Numerical Simulation, University of Bonn


Visiting Professor, Paris Diderot University (Paris 7), France


Visiting Professor at the School of Mathematics, University of New South Wales, Sydney, Australia

2013 - 2016

Associate Dean of the Faculty of Mathematics and Natural Sciences, University of Bonn

Since 2010

Director, Fraunhofer Institute for Algorithms and Scientific Computing (SCAI), Bonn

Since 2013

Member of the Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects” of the Deutsche Forschungsgemeinschaft, University of Bonn

Research Profile

A main focus of current research is the approximation of high-dimensional functions and the solution of partial differential equations in high dimensions. Our central tool in this respect is the dimension-adaptive sparse grid method and its generalizations. Another focus is the development of efficient numerical methods for the treatment of two-phase-flow problems and for the simulation of materials on the atomistic and the continuous scale with special emphasis on nano-technology. Finally, adaptive discretizations for partial differential equations, multi-level solvers of the arising linear systems and their parallelization have been investigated.

A main focus of future research will be numerical data analysis. This involves high dimensional regression, density estimation and classification problems in high-dimensional spaces. The emphasis will be on the development of new numerical techniques and on proposing stable algorithms as well as on establishing theoretical results. The research will be driven by real data applications in econometrics and finance and by data-oriented problems from material science. Since data often stem from a low-dimensional manifold embedded in ambient space, we aim at exploiting this structure by applying adaptive sparse grid algorithms for the h-version, the p-version and the kernel-based versions of approximation. Moreover, we will develop nonlinear methods beyond the Hilbert space setting. To this end, we will replace the conventional Euclidean cost function by more appropriate distance measures such as Banach space norms or Bregman divergences. Here, we again aim at deriving both, a theoretical foundation and stability conditions with error estimates for practical purposes. Finally, we plan to study the relation of our nonlinear methods to deep neural networks.

Research Projects and Activities

DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”,
Principal Investigator

DFG Collaborative Research Center / Transregio SFB/TR 32 “Patterns in Soil-Vegetation-Atmosphere Systems - Monitoring, Modelling and Data Assimilation”

DFG Priority Program SPP 1648 “Software for Exascale Computing”,
Principal Investigator

DFG Priority Program SPP 1506 “Transport Processes at Fluidic Interfaces”,
Principal Investigator

DFG project “Likelihood Approximation for Discrete Choice Models with Sparse Grids”

DFG Cluster of Excellence “Hausdorff Center for Mathematics”,
Principal Investigator

Selected Publications

[1] Hans-Joachim Bungartz, Michael Griebel
Sparse grids
Acta Numer. , 13: : 147--269
DOI: 10.1017/S0962492904000182
[2] Thomas Gerstner, Michael Griebel
Numerical integration using sparse grids
Numer. Algorithms , 18: (3-4): 209--232
DOI: 10.1023/A:1019129717644
[3] S. J. V. Frankland, A. Caglar, D. W. Brenner, M. Griebel
Molecular simulation of the influence of chemical crosslinks on the shear strength of carbon nanotube-polymer interfaces
Journal of Physical Chemistry B , 106: (12): 3046--3048
[4] Michael Griebel, Thomas Dornseifer, Tilman Neunhoeffer
Numerical simulation in fluid dynamics
A practical introduction, Translated from the German by Oliver Ernst
SIAM Monographs on Mathematical Modeling and Computation : xvi+217
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISBN: 0-89871-398-6
DOI: 10.1137/1.9780898719703
[5] T. Gerstner, M. Griebel
Dimension-adaptive tensor-product quadrature
Computing , 71: (1): 65--87
DOI: 10.1007/s00607-003-0015-5
[6] Michael Griebel, Stephan Knapek, Gerhard Zumbusch
Numerical simulation in molecular dynamics
Numerics, algorithms, parallelization, applications
of Texts in Computational Science and Engineering : xii+470
Publisher: Springer, Berlin
ISBN: 978-3-540-68094-9
[7] Michael Griebel, Peter Oswald
Schwarz iterative methods: infinite space splittings
Constr. Approx. , 44: (1): 121--139
DOI: 10.1007/s00365-015-9318-y
[8] Michael Griebel, Frances Y. Kuo, Ian H. Sloan
The smoothing effect of integration in {\BbbR^d} and the ANOVA decomposition
Math. Comp. , 82: (281): 383--400
DOI: 10.1090/S0025-5718-2012-02578-6
[9] Michael Griebel
Multilevel algorithms considered as iterative methods on semidefinite systems
Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992)
SIAM J. Sci. Comput. , 15: (3): 547--565
DOI: 10.1137/0915036
[10] Bastian Bohn, Jochen Garcke, Michael Griebel
A sparse grid based method for generative dimensionality reduction of high-dimensional data
J. Comput. Phys. , 309: : 1--17
DOI: 10.1016/

Publication List

MathSciNet Publication List (external link)


• Numerische Mathematik (Managing Editor)
• Springer Lecture Notes in Computational Science and Engineering
• Springer Texts in Computational Science and Engineering



Fellow, Institute for Pure and Applied Mathematics, University of California, Los Angeles, CA, USA


International Fellow, Australian Research Council (ARCIF), University of New South Wales, Sydney, NSW, Australia


John von Neumann Visiting Professorship, TU Munich


Visiting Professorship at Institute for Applied Mathematics, University of New South Wales, Australia

Selected Invited Lectures


International Congress on the Applications of Mathematics, Santiago de Chile, Chile


World Congress on Computational Mechanics, Los Angeles, CA, USA


International Congress of Mathematicians, Madrid, Spain


Numerical Methods in Finance. An AMaMeF Conference, INRIA, Rocquencourt, France


ENUMATH, Graz, Austria


European Postgraduate Fluid Dynamics Conference, Birmingham, England, UK


IUTAM, Symposium on Modeling Nanomaterials and Nanosystems, Aalborg, Denmark


Summer School on Nanotechnology and Mathematics, Santiago de Compostela, Spain


Algorithms and Complexity for Continuous Problems, Dagstuhl, Wadern


Zürich Summer School, Sparse Tensor Discretizations of High-Dimensional Problems, Switzerland


ESF-JSPS Frontier Science Conference for Young Researchers: Mathematics for Innovation Large and Complex Systems, Tokyo, Japan


SIAM Conference on Uncertainty Quantification, Lausanne, Switzerland


SIAM Conference International Conference on Data Mining, Calgary, Canada



C4 professorship in numerical mathematics, Düsseldorf


C4 professorship in simulation of large systems, Stuttgart


Research position at the Lawrence Livermore National Laboratory, CA, USA


C4 professorship in technomathematics, TU Kaiserslautern, joint with leading position at the Fraunhofer Institute for Industrial Mathematics (Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, ITWM)


Gerhard Zumbusch (2001), now Professor, University of Jena

Thomas Gerstner (2007), now Professor, University of Frankfurt

Marc Alexander Schweitzer (2008), now Professor, University of Bonn

Christian Rieger (2016): ''Spectral Approximation in Reproducing Kernel Hilbert Spaces'',
now Professor, Philipps University Marburg

Selected PhD students

Frank Kiefer (2001): “Multiskalen-Verfahren für Konvektions-Diffusions Probleme”,
now Programme Director, DFG

Jochen Garcke (2004): “Maschinelles Lernen durch Funktionsrekonstruktion mit verallgemeinerten dünnen Gittern”,
now Professor, University of Bonn

Jan Hamaekers (2009): “Tensor Product Multiscale Many-Particle Spaces with Finite-Order Weights for the Electronic Schödinger Equation”,
now Head of Department ''Virtual Material Design'', Fraunhofer SCAI
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