Michael Griebel

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 36

Top Venues

CoRR

SIAM J. Numer. Anal.

Math. Comput.

J. Complex.

Technical University Munich, Germany (PHD)

Education History

Technical University Munich, Germany

PHD

Publications

Michael Griebel, Tim Jahn
Efficient solution of ill-posed integral equations through averaging. CoRR (2024)
Michael Griebel, Peter Oswald
Convergence analysis of online algorithms for vector-valued kernel regression. CoRR (2023)
Michael Griebel, Helmut Harbrecht
Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. 23 (1) (2023)
Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. 92 (342) (2023)
Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves. SIAM J. Sci. Comput. 45 (2) (2023)
Bastian Bohn, Michael Griebel, Dinesh Kannan
Deep Neural Networks and PIDE Discretizations. SIAM J. Math. Data Sci. 4 (3) (2022)
Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR (2022)
Uta Seidler, Michael Griebel
A Dimension-adaptive Combination Technique for Uncertainty Quantification. CoRR (2022)
Bastian Bohn, Michael Griebel, Dinesh Kannan
Deep Neural Networks and PIDE discretizations. CoRR (2021)
Michael Griebel, Guanglian Li, Christian Rieger
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR (2021)
Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
A dimension-oblivious domain decomposition method based on space-filling curves. CoRR (2021)
Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
A fault-tolerant domain decomposition method based on space-filling curves. CoRR (2021)
Michael Griebel, Helmut Harbrecht, Michael D. Multerer
Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM J. Numer. Anal. 58 (1) (2020)
Alexandros Gilch, Michael Griebel, Jens Oettershagen
Multilevel Approximation for Generalized Method of Moments Estimators. CoRR (2020)
Michael Griebel, Peter Oswald
Stochastic subspace correction methods and fault tolerance. Math. Comput. 89 (321) (2020)
Bastian Bohn, Michael Griebel, Jens Oettershagen
Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. SDM (2019)
Michael Griebel, Guanglian Li
On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. CoRR (2019)
Michael Griebel, Margrit Klitz
Simulation of micron-scale drop impact. Comput. Math. Appl. 78 (9) (2019)
Bastian Bohn, Christian Rieger, Michael Griebel
A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. 20 (2019)
Alexander Rüttgers, Michael Griebel
Multiscale simulation of polymeric fluids using the sparse grid combination technique. Appl. Math. Comput. 319 (2018)
Michael Griebel, Christian Rieger, Barbara Zwicknagl
Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. 18 (2) (2018)
Bastian Bohn, Michael Griebel, Jens Oettershagen
Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. CoRR (2018)
Sambasiva Rao Chinnamsetty, Michael Griebel, Jan Hamaekers
An Adaptive Multiscale Approach for Electronic Structure Methods. Multiscale Model. Simul. 16 (2) (2018)
Dinh Dung, Michael Griebel, Vu Nhat Huy, Christian Rieger
ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. 46 (2018)
Michael Griebel, Guanglian Li
On the Decay Rate of the Singular Values of Bivariate Functions. SIAM J. Numer. Anal. 56 (2) (2018)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
and the ANOVA decomposition". Math. Comput. 86 (306) (2017)
Bastian Bohn, Michael Griebel
Error Estimates for Multivariate Regression on Discretized Function Spaces. SIAM J. Numer. Anal. 55 (4) (2017)
Michael Griebel, Christian Rieger
Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Bastian Bohn, Michael Griebel, Christian Rieger
A representer theorem for deep kernel learning. CoRR (2017)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. 86 (306) (2017)
Michael Griebel, Peter Oswald
Stable splittings of Hilbert spaces of functions of infinitely many variables. J. Complex. 41 (2017)
Michael Griebel, Jens Oettershagen
On tensor product approximation of analytic functions. J. Approx. Theory 207 (2016)
Bastian Bohn, Jochen Garcke, Michael Griebel
A sparse grid based method for generative dimensionality reduction of high-dimensional data. J. Comput. Phys. 309 (2016)
Dinh Dung, Michael Griebel
Hyperbolic cross approximation in infinite dimensions. J. Complex. 33 (2016)
Michael Griebel, Christian Rieger, Barbara Zwicknagl
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. 53 (2) (2015)
Michael Griebel, Alexander Hullmann, Peter Oswald
Optimal scaling parameters for sparse grid discretizations. Numer. Linear Algebra Appl. 22 (1) (2015)
Michael Griebel, Alexander Hullmann
Dimensionality Reduction of High-Dimensional Data with a NonLinear Principal Component Aligned Generative Topographic Mapping. SIAM J. Sci. Comput. 36 (3) (2014)
Dirk Pflüger, Hans-Joachim Bungartz, Michael Griebel, Frank Jenko, Tilman Dannert, Mario Heene, Christoph Kowitz, Alfredo Parra-Hinojosa, Peter Zaspel
EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond. Euro-Par Workshops (2) (2014)
Michael Griebel, Helmut Harbrecht
On the construction of sparse tensor product spaces. Math. Comput. 82 (282) (2013)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
and the ANOVA decomposition. Math. Comput. 82 (281) (2013)
Michael Griebel, Daniel Wissel
Fast Approximation of the Discrete Gauss Transform in Higher Dimensions. J. Sci. Comput. 55 (1) (2013)
Olivier Bokanowski, Jochen Garcke, Michael Griebel, Irene Klompmaker
An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order Hamilton-Jacobi Bellman Equations. J. Sci. Comput. 55 (3) (2013)
Michael Griebel, Alexander Hullmann
A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data. HPSC (2012)
Peter Zaspel, Michael Griebel
Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Comput. Vis. Sci. 14 (8) (2011)
Martin Engel, Michael Griebel
A multigrid method for constrained optimal control problems. J. Comput. Appl. Math. 235 (15) (2011)
Peter Zaspel, Michael Griebel
Massively Parallel Fluid Simulations on Amazon's HPC Cloud. NCCA (2011)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
The smoothing effect of the ANOVA decomposition. J. Complex. 26 (5) (2010)
Michael Griebel, Margrit Klitz
Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures. Multiscale Model. Simul. 8 (4) (2010)
Michael Griebel, Markus Holtz
Dimension-wise integration of high-dimensional functions with applications to finance. J. Complex. 26 (5) (2010)
Michael Griebel, Markus Hegland
A Finite Element Method for Density Estimation with Gaussian Process Priors. SIAM J. Numer. Anal. 47 (6) (2010)
Michael Griebel, Peter Zaspel
A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations. Comput. Sci. Res. Dev. 25 (1-2) (2010)
Christian Feuersänger, Michael Griebel
Principal manifold learning by sparse grids. Computing 85 (4) (2009)
Michael Griebel, Stephan Knapek
Optimized general sparse grid approximation spaces for operator equations. Math. Comput. 78 (268) (2009)
Michael Griebel, Karl Scherer, Marc Alexander Schweitzer
Robust norm equivalencies for diffusion problems. Math. Comput. 76 (259) (2007)
Michael Griebel, Daniel Oeltz
A sparse grid space-time discretization scheme for parabolic problems. Computing 81 (1) (2007)
Michael Griebel, Daniel Oeltz, Panayot S. Vassilevski
Space-Time Approximation with Sparse Grids. SIAM J. Sci. Comput. 28 (2) (2006)
Michael Griebel, Henryk Wozniakowski
On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation. Math. Comput. 75 (255) (2006)
Michael Griebel, Bram Metsch, Daniel Oeltz, Marc Alexander Schweitzer
Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods. Numer. Linear Algebra Appl. 13 (2-3) (2006)
Marcel Arndt, Michael Griebel
Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids. Multiscale Model. Simul. 4 (2) (2005)
Ulrich Clarenz, Michael Griebel, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea
Feature sensitive multiscale editing on surfaces. Vis. Comput. 20 (5) (2004)
Michael Griebel, Tobias Preußer, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea
Flow Field Clustering via Algebraic Multigrid. IEEE Visualization (2004)
Michael Griebel, Daniel Oeltz, Marc Alexander Schweitzer
An Algebraic Multigrid Method for Linear Elasticity. SIAM J. Sci. Comput. 25 (2) (2003)
Thomas Gerstner, Michael Griebel
Dimension-Adaptive Tensor-Product Quadrature. Computing 71 (1) (2003)
Michael Griebel, Marc Alexander Schweitzer
A Particle-Partition of Unity Method-Part III: A Multilevel Solver. SIAM J. Sci. Comput. 24 (2) (2002)
Jochen Garcke, Michael Griebel
Classification with sparse grids using simplicial basis functions. Intell. Data Anal. 6 (6) (2002)
Thomas Gerstner, Dirk Meetschen, Susanne Crewell, Michael Griebel, Clemens Simmer
A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements. IEEE Visualization (2002)
Michael Griebel, Marc Alexander Schweitzer
A Particle-Partition of Unity Method-Part II: Efficient Cover Construction and Reliable Integration. SIAM J. Sci. Comput. 23 (5) (2002)
Jochen Garcke, Michael Griebel
Data mining with sparse grids using simplicial basis functions. KDD (2001)
Jochen Garcke, Michael Griebel, M. Thess
Data Mining with Sparse Grids. Computing 67 (3) (2001)
Jochen Garcke, Michael Griebel
On the Parallelization of the Sparse Grid Approach for Data Mining. LSSC (2001)
Michael Griebel, Marc Alexander Schweitzer
A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs. SIAM J. Sci. Comput. 22 (3) (2000)
Hans-Joachim Bungartz, Michael Griebel
A Note on the Complexity of Solving Poisson's Equation for Spaces of Bounded Mixed Derivatives. J. Complex. 15 (2) (1999)
Michael Griebel, Peter Oswald, Thomas Schiekofer
Sparse grids for boundary integral equations. Numerische Mathematik 83 (2) (1999)
Gerhard W. Zumbusch, Michael Griebel
Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve. PPSC (1999)
Michael Griebel, Gerhard W. Zumbusch
Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. Parallel Comput. 25 (7) (1999)
Michael Griebel
Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. Computing 61 (2) (1998)
Thomas Gerstner, Michael Griebel
Numerical integration using sparse grids. Numer. Algorithms 18 (3-4) (1998)
Michael Griebel
Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. LSSC (1997)
Michael Griebel, Gerhard W. Zumbusch
Parallel Multigrid in an Adaptive PDE Solver Based on Hashing. PARCO (1997)
Michael Griebel
Parallel Domain-Oriented Multilevel Methods. SIAM J. Sci. Comput. 16 (5) (1995)
Michael Griebel, Peter Oswald
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Adv. Comput. Math. 4 (1) (1995)
Michael Griebel
Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems. SIAM J. Sci. Comput. 15 (3) (1994)
Michael Griebel, Peter Oswald
Remarks on the abstract theory of additive and multiplicative Schwarz algorithms Forschungsberichte, TU Munich (1993)
Michael Griebel, Walter Huber, T. Störtkuhl, Christoph Zenger
On the Parallel Solution of 3D PDEs on a Network of Workstations and on Vector Computers. Parallel Computer Architectures (1993)
Michael Griebel, Christoph Zenger, Stefan Zimmer
Multilevel Gauss-Seidel-algorithms for full and sparse grid problems. Computing 50 (2) (1993)
Michael Griebel, Veronika Thurner
The efficient solution of fluid dynamics problems by the combination technique Forschungsberichte, TU Munich (1993)
Michael Griebel, Christoph Zenger, Stefan Zimmer
Improved multilevel algorithms for full and sparse grid problems Forschungsberichte, TU Munich (1992)
Michael Griebel
Grid- and point-oriented multilevel algorithms Forschungsberichte, TU Munich (1992)
Michael Griebel, Walter Huber, Ulrich Rüde, T. Störtkuhl
The Combination Technique for Parallel Sparse-Grid-Preconditioning or -Solution of PDEs on Workstation Networks. CONPAR (1992)
Michael Griebel
The Combination Technique for the Sparse Grid Solution of PDE's on Multiprocessor Machines. Parallel Process. Lett. 2 (1992)
Hans-Joachim Bungartz, Michael Griebel, Ulrich Rüde
Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems Forschungsberichte, TU Munich (1992)
Michael Griebel
The combination techniques for the sparse grid solution of PDE's on multiprocessor machines Forschungsberichte, TU Munich (1991)
Michael Griebel
Multilevel algorithms considered as iterative methods on indefinite systems Forschungsberichte, TU Munich (1991)
Michael Griebel, Michael Schneider, Christoph Zenger
A combination technique for the solution of sparse grid problems Forschungsberichte, TU Munich (1990)
Michael Griebel
A parallelizable and vectorizable multi-level-algorithm on sparse grids Forschungsberichte, TU Munich (1990)
Michael Griebel
Parallel multigrid methods on sparse grids Forschungsberichte, TU Munich (1990)
Michael Griebel
Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode Forschungsberichte, TU Munich (1990)

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Publication Activity (10 Years)

Top Topics

Top Venues

Michael Griebel