Zur Lösung von Finite-Differenzen-und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode - Sonderforschungsbericht 342: Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen. - Michael Griebel (1990)

Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode - Michael Griebel (Forschungsberichte, TU Munich, 1990)

A combination technique for the solution of sparse grid problems - Michael Griebel; Michael Schneider; Christoph Zenger 001 (Forschungsberichte, TU Munich, 1990)

A parallelizable and vectorizable multi-level-algorithm on sparse grids - Michael Griebel (Forschungsberichte, TU Munich, 1990)

Parallel multigrid methods on sparse grids - Michael Griebel (Forschungsberichte, TU Munich, 1990)

The combination techniques for the sparse grid solution of PDE's on multiprocessor machines - Michael Griebel (Forschungsberichte, TU Munich, 1991)

Multilevel algorithms considered as iterative methods on indefinite systems - Michael Griebel (Forschungsberichte, TU Munich, 1991)

The Combination Technique for Parallel Sparse-Grid-Preconditioning or -Solution of PDEs on Workstation Networks. - Michael Griebel; Walter Huber; Ulrich Rüde; T. Störtkuhl (CONPAR, 1992)

The Combination Technique for the Sparse Grid Solution of PDE's on Multiprocessor Machines. - Michael Griebel (Parallel Process. Lett., 1992)

Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems - Hans-Joachim Bungartz; Michael Griebel; Ulrich Rüde (Forschungsberichte, TU Munich, 1992)

Grid- and point-oriented multilevel algorithms - Michael Griebel (Forschungsberichte, TU Munich, 1992)

Improved multilevel algorithms for full and sparse grid problems - Michael Griebel; Christoph Zenger 001; Stefan Zimmer 001 (Forschungsberichte, TU Munich, 1992)

On the Parallel Solution of 3D PDEs on a Network of Workstations and on Vector Computers. - Michael Griebel; Walter Huber; T. Störtkuhl; Christoph Zenger 001 (Parallel Computer Architectures, 1993)

Multilevel Gauss-Seidel-algorithms for full and sparse grid problems. - Michael Griebel; Christoph Zenger 001; Stefan Zimmer 001 (Computing, 1993)

The efficient solution of fluid dynamics problems by the combination technique - Michael Griebel; Veronika Thurner (Forschungsberichte, TU Munich, 1993)

Remarks on the abstract theory of additive and multiplicative Schwarz algorithms - Michael Griebel; Peter Oswald (Forschungsberichte, TU Munich, 1993)

Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems. - Michael Griebel (SIAM J. Sci. Comput., 1994)

Numerische Simulation in der Strömungsmechanik - eine praxisorientierte Einführung. - Michael Griebel; Thomas Dornseifer; Tilman Neunhoeffer (Vieweg, 1995)

Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. - Michael Griebel; Peter Oswald (Adv. Comput. Math., 1995)

Parallel Domain-Oriented Multilevel Methods. - Michael Griebel (SIAM J. Sci. Comput., 1995)

Einführung in die Computergraphik - Grundlagen, geometrische Modellierung, Algorithmen. - Hans-Joachim Bungartz; Michael Griebel; Christoph Zenger 001 (Vieweg, 1996)

Parallel Multigrid in an Adaptive PDE Solver Based on Hashing. - Michael Griebel; Gerhard W. Zumbusch (PARCO, 1997)

Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. - Michael Griebel (Computing, 1998)

Numerical integration using sparse grids. - Thomas Gerstner; Michael Griebel (Numer. Algorithms, 1998)

Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve. - Gerhard W. Zumbusch; Michael Griebel (PP, 1999)

A Note on the Complexity of Solving Poisson's Equation for Spaces of Bounded Mixed Derivatives. - Hans-Joachim Bungartz; Michael Griebel (J. Complex., 1999)

Sparse grids for boundary integral equations. - Michael Griebel; Peter Oswald; Thomas Schiekofer (Numerische Mathematik, 1999)

Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. - Michael Griebel; Gerhard W. Zumbusch (Parallel Comput., 1999)

A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs. - Michael Griebel; Marc Alexander Schweitzer (SIAM J. Sci. Comput., 2000)

Data mining with sparse grids using simplicial basis functions. - Jochen Garcke; Michael Griebel (KDD, 2001)

On the Parallelization of the Sparse Grid Approach for Data Mining. - Jochen Garcke; Michael Griebel (LSSC, 2001)

Data Mining with Sparse Grids. - Jochen Garcke; Michael Griebel; M. Thess (Computing, 2001)

A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements. - Thomas Gerstner; Dirk Meetschen; Susanne Crewell; Michael Griebel; Clemens Simmer (IEEE Visualization, 2002)

Classification with sparse grids using simplicial basis functions. - Jochen Garcke; Michael Griebel (Intell. Data Anal., 2002)

A Particle-Partition of Unity Method-Part III: A Multilevel Solver. - Michael Griebel; Marc Alexander Schweitzer (SIAM J. Sci. Comput., 2002)

A Particle-Partition of Unity Method-Part II: Efficient Cover Construction and Reliable Integration. - Michael Griebel; Marc Alexander Schweitzer (SIAM J. Sci. Comput., 2002)

Dimension-Adaptive Tensor-Product Quadrature. - Thomas Gerstner; Michael Griebel (Computing, 2003)

An Algebraic Multigrid Method for Linear Elasticity. - Michael Griebel; Daniel Oeltz; Marc Alexander Schweitzer (SIAM J. Sci. Comput., 2003)

Numerische Simulation in der Moleküldynamik - Michael Griebel; Stephan Knapek; Gerhard W. Zumbusch; Attila Caglar (Numerische Simulation in der Moleküldynamik, 2004)

Flow Field Clustering via Algebraic Multigrid. - Michael Griebel; Tobias Preußer; Martin Rumpf; Marc Alexander Schweitzer; Alexandru C. Telea (IEEE Visualization, 2004)

Feature sensitive multiscale editing on surfaces. - Ulrich Clarenz; Michael Griebel; Martin Rumpf; Marc Alexander Schweitzer; Alexandru C. Telea (Vis. Comput., 2004)

Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids. - Marcel Arndt; Michael Griebel (Multiscale Model. Simul., 2005)

On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation. - Michael Griebel; Henryk Wozniakowski (Math. Comput., 2006)

Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods. - Michael Griebel; Bram Metsch; Daniel Oeltz; Marc Alexander Schweitzer (Numer. Linear Algebra Appl., 2006)

Space-Time Approximation with Sparse Grids. - Michael Griebel; Daniel Oeltz; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2006)

A sparse grid space-time discretization scheme for parabolic problems. - Michael Griebel; Daniel Oeltz (Computing, 2007)

Robust norm equivalencies for diffusion problems. - Michael Griebel; Karl Scherer; Marc Alexander Schweitzer (Math. Comput., 2007)

Principal manifold learning by sparse grids. - Christian Feuersänger; Michael Griebel (Computing, 2009)

Optimized general sparse grid approximation spaces for operator equations. - Michael Griebel; Stephan Knapek (Math. Comput., 2009)

A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations. - Michael Griebel; Peter Zaspel (Comput. Sci. Res. Dev., 2010)

Dimension-wise integration of high-dimensional functions with applications to finance. - Michael Griebel; Markus Holtz (J. Complex., 2010)

The smoothing effect of the ANOVA decomposition. - Michael Griebel; Frances Y. Kuo; Ian H. Sloan (J. Complex., 2010)

Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures. - Michael Griebel; Margrit Klitz (Multiscale Model. Simul., 2010)

A Finite Element Method for Density Estimation with Gaussian Process Priors. - Michael Griebel; Markus Hegland (SIAM J. Numer. Anal., 2010)

Massively Parallel Fluid Simulations on Amazon's HPC Cloud. - Peter Zaspel; Michael Griebel (NCCA, 2011)

Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. - Peter Zaspel; Michael Griebel (Comput. Vis. Sci., 2011)

A multigrid method for constrained optimal control problems. - Martin Engel; Michael Griebel (J. Comput. Appl. Math., 2011)

A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data. - Michael Griebel; Alexander Hullmann (HPSC, 2012)

An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order Hamilton-Jacobi Bellman Equations. - Olivier Bokanowski; Jochen Garcke; Michael Griebel; Irene Klompmaker (J. Sci. Comput., 2013)

Fast Approximation of the Discrete Gauss Transform in Higher Dimensions. - Michael Griebel; Daniel Wissel (J. Sci. Comput., 2013)

On the construction of sparse tensor product spaces. - Michael Griebel; Helmut Harbrecht (Math. Comput., 2013)

The smoothing effect of integration in Rd and the ANOVA decomposition. - Michael Griebel; Frances Y. Kuo; Ian H. Sloan (Math. Comput., 2013)

EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond. - Dirk Pflüger; Hans-Joachim Bungartz; Michael Griebel; Frank Jenko; Tilman Dannert; Mario Heene; Christoph Kowitz; Alfredo Parra-Hinojosa; Peter Zaspel (Euro-Par Workshops (2), 2014)

Dimensionality Reduction of High-Dimensional Data with a NonLinear Principal Component Aligned Generative Topographic Mapping. - Michael Griebel; Alexander Hullmann (SIAM J. Sci. Comput., 2014)

Optimal scaling parameters for sparse grid discretizations. - Michael Griebel; Alexander Hullmann; Peter Oswald (Numer. Linear Algebra Appl., 2015)

Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. - Michael Griebel; Christian Rieger; Barbara Zwicknagl (SIAM J. Numer. Anal., 2015)

On tensor product approximation of analytic functions. - Michael Griebel; Jens Oettershagen (J. Approx. Theory, 2016)

Hyperbolic cross approximation in infinite dimensions. - Dinh Dung; Michael Griebel (J. Complex., 2016)

A sparse grid based method for generative dimensionality reduction of high-dimensional data. - Bastian Bohn; Jochen Garcke; Michael Griebel (J. Comput. Phys., 2016)

Stable splittings of Hilbert spaces of functions of infinitely many variables. - Michael Griebel; Peter Oswald (J. Complex., 2017)

Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. - Michael Griebel; Christian Rieger (SIAM/ASA J. Uncertain. Quantification, 2017)

Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition". - Michael Griebel; Frances Y. Kuo; Ian H. Sloan (Math. Comput., 2017)

The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. - Michael Griebel; Frances Y. Kuo; Ian H. Sloan (Math. Comput., 2017)

Error Estimates for Multivariate Regression on Discretized Function Spaces. - Bastian Bohn; Michael Griebel (SIAM J. Numer. Anal., 2017)

Multiscale simulation of polymeric fluids using the sparse grid combination technique. - Alexander Rüttgers; Michael Griebel (Appl. Math. Comput., 2018)

Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. - Michael Griebel; Christian Rieger; Barbara Zwicknagl (Found. Comput. Math., 2018)

ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. - Dinh Dung; Michael Griebel; Vu Nhat Huy; Christian Rieger (J. Complex., 2018)

An Adaptive Multiscale Approach for Electronic Structure Methods. - Sambasiva Rao Chinnamsetty; Michael Griebel; Jan Hamaekers (Multiscale Model. Simul., 2018)

On the Decay Rate of the Singular Values of Bivariate Functions. - Michael Griebel; Guanglian Li (SIAM J. Numer. Anal., 2018)

Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. - Bastian Bohn; Michael Griebel; Jens Oettershagen (SDM, 2019)

Simulation of micron-scale drop impact. - Michael Griebel; Margrit Klitz (Comput. Math. Appl., 2019)

On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. - Michael Griebel; Guanglian Li (CoRR, 2019)

A Representer Theorem for Deep Kernel Learning. - Bastian Bohn; Christian Rieger; Michael Griebel (J. Mach. Learn. Res., 2019)

Multilevel Approximation for Generalized Method of Moments Estimators. - Alexandros Gilch; Michael Griebel; Jens Oettershagen (CoRR, 2020)

Stochastic subspace correction methods and fault tolerance. - Michael Griebel; Peter Oswald (Math. Comput., 2020)

Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. - Michael Griebel; Helmut Harbrecht; Michael D. Multerer (SIAM J. Numer. Anal., 2020)

EXAHD: A Massively Parallel Fault Tolerant Sparse Grid Approach for High-Dimensional Turbulent Plasma Simulations. - Rafael Lago; Michael Obersteiner; Theresa Pollinger; Johannes Rentrop; Hans-Joachim Bungartz; Tilman Dannert; Michael Griebel; Frank Jenko; Dirk Pflüger (Software for Exascale Computing, 2020)

A fault-tolerant domain decomposition method based on space-filling curves. - Michael Griebel; Marc Alexander Schweitzer; Lukas Troska (CoRR, 2021)

On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. - Michael Griebel; Guanglian Li; Christian Rieger (CoRR, 2021)

A Dimension-adaptive Combination Technique for Uncertainty Quantification. - Uta Seidler; Michael Griebel (CoRR, 2022)

Deep Neural Networks and PIDE Discretizations. - Bastian Bohn; Michael Griebel; Dinesh Kannan (SIAM J. Math. Data Sci., 2022)

Convergence analysis of online algorithms for vector-valued kernel regression. - Michael Griebel; Peter Oswald (CoRR, 2023)

Analysis of Tensor Approximation Schemes for Continuous Functions. - Michael Griebel; Helmut Harbrecht (Found. Comput. Math., 2023)

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. - Michael Griebel; Helmut Harbrecht; Reinhold Schneider (Math. Comput., 2023)

A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves. - Michael Griebel; Marc Alexander Schweitzer; Lukas Troska (SIAM J. Sci. Comput., 2023)

Efficient solution of ill-posed integral equations through averaging. - Michael Griebel; Tim Jahn (CoRR, 2024)

Learning Lipschitz Operators with respect to Gaussian Measures with Near-Optimal Sample Complexity. - Ben Adcock; Michael Griebel; Gregor Maier (CoRR, 2024)

On Multilevel Energy-Based Fragmentation Methods. - James Barker; Michael Griebel; Jan Hamaekers (CoRR, 2024)

Kernel Interpolation on Sparse Grids. - Michael Griebel; Helmut Harbrecht; Michael D. Multerer (CoRR, 2025)