Michael Griebel

111 papers A* 1A 3Misc 1Journal 90Unranked 8

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Parallel-in-Time Combination Method for Parabolic Problems. CoRR Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
2025	J	`jnl`	Kernel Interpolation on Sparse Grids. CoRR Michael Griebel, Helmut Harbrecht, Michael D. Multerer
2025	J	`jnl`	Kernel interpolation in Sobolev spaces of hybrid regularity. CoRR Michael Griebel, Helmut Harbrecht
2024	J	`jnl`	Efficient solution of ill-posed integral equations through averaging. CoRR Michael Griebel, Tim Jahn
2024	J	`jnl`	Learning Lipschitz Operators with respect to Gaussian Measures with Near-Optimal Sample Complexity. CoRR Ben Adcock, Michael Griebel, Gregor Maier
2024	J	`jnl`	On Multilevel Energy-Based Fragmentation Methods. CoRR James Barker, Michael Griebel, Jan Hamaekers
2024	J	`jnl`	On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR Michael Griebel, Guanglian Li, Christian Rieger
2023	J	`jnl`	A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves. SIAM J. Sci. Comput. Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
2023	J	`jnl`	Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. Michael Griebel, Helmut Harbrecht
2023	J	`jnl`	Convergence analysis of online algorithms for vector-valued kernel regression. CoRR Michael Griebel, Peter Oswald
2023	J	`jnl`	Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. Michael Griebel, Helmut Harbrecht, Reinhold Schneider
2022	J	`jnl`	A Dimension-adaptive Combination Technique for Uncertainty Quantification. CoRR Uta Seidler, Michael Griebel
2022	J	`jnl`	Deep Neural Networks and PIDE Discretizations. SIAM J. Math. Data Sci. Bastian Bohn, Michael Griebel, Dinesh Kannan
2022	J	`jnl`	Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR Michael Griebel, Helmut Harbrecht, Reinhold Schneider
2021	J	`jnl`	A dimension-oblivious domain decomposition method based on space-filling curves. CoRR Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
2021	J	`jnl`	A fault-tolerant domain decomposition method based on space-filling curves. CoRR Michael Griebel, Marc Alexander Schweitzer, Lukas Troska
2021	J	`jnl`	Deep Neural Networks and PIDE discretizations. CoRR Bastian Bohn, Michael Griebel, Dinesh Kannan
2021	J	`jnl`	On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR Michael Griebel, Guanglian Li, Christian Rieger
2020	—	`ch.`	EXAHD: A Massively Parallel Fault Tolerant Sparse Grid Approach for High-Dimensional Turbulent Plasma Simulations. Software for Exascale Computing Rafael Lago, Michael Obersteiner, Theresa Pollinger, Johannes Rentrop, Hans-Joachim Bungartz, Tilman Dannert, Michael Griebel, Frank Jenko, Dirk Pflüger
2020	J	`jnl`	Multilevel Approximation for Generalized Method of Moments Estimators. CoRR Alexandros Gilch, Michael Griebel, Jens Oettershagen
2020	J	`jnl`	Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM J. Numer. Anal. Michael Griebel, Helmut Harbrecht, Michael D. Multerer
2020	J	`jnl`	Stochastic subspace correction methods and fault tolerance. Math. Comput. Michael Griebel, Peter Oswald
2019	J	`jnl`	A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. Bastian Bohn, Christian Rieger, Michael Griebel
2019	J	`jnl`	On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. CoRR Michael Griebel, Guanglian Li
2019	A	`conf`	Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. SDM Bastian Bohn, Michael Griebel, Jens Oettershagen
2019	J	`jnl`	Simulation of micron-scale drop impact. Comput. Math. Appl. Michael Griebel, Margrit Klitz
2018	J	`jnl`	An Adaptive Multiscale Approach for Electronic Structure Methods. Multiscale Model. Simul. Sambasiva Rao Chinnamsetty, Michael Griebel, Jan Hamaekers
2018	J	`jnl`	Multiscale simulation of polymeric fluids using the sparse grid combination technique. Appl. Math. Comput. Alexander Rüttgers, Michael Griebel
2018	J	`jnl`	On the Decay Rate of the Singular Values of Bivariate Functions. SIAM J. Numer. Anal. Michael Griebel, Guanglian Li
2018	J	`jnl`	Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. CoRR Bastian Bohn, Michael Griebel, Jens Oettershagen
2018	J	`jnl`	Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. Michael Griebel, Christian Rieger, Barbara Zwicknagl
2018	J	`jnl`	ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. Dinh Dung, Michael Griebel, Vu Nhat Huy, Christian Rieger
2017	J	`jnl`	A representer theorem for deep kernel learning. CoRR Bastian Bohn, Michael Griebel, Christian Rieger
2017	J	`jnl`	Error Estimates for Multivariate Regression on Discretized Function Spaces. SIAM J. Numer. Anal. Bastian Bohn, Michael Griebel
2017	J	`jnl`	Note on "The smoothing effect of integration in ℝ Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2017	J	`jnl`	Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification Michael Griebel, Christian Rieger
2017	—	`book`	Scientific Computing and Algorithms in Industrial Simulations, Projects and Products of Fraunhofer SCAI. Scientific Computing and Algorithms in Industrial Simulations Michael Griebel, Anton Schüller, Marc Alexander Schweitzer
2017	J	`jnl`	Stable splittings of Hilbert spaces of functions of infinitely many variables. J. Complex. Michael Griebel, Peter Oswald
2017	J	`jnl`	The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2016	J	`jnl`	A sparse grid based method for generative dimensionality reduction of high-dimensional data. J. Comput. Phys. Bastian Bohn, Jochen Garcke, Michael Griebel
2016	J	`jnl`	Hyperbolic cross approximation in infinite dimensions. J. Complex. Dinh Dung, Michael Griebel
2016	J	`jnl`	On tensor product approximation of analytic functions. J. Approx. Theory Michael Griebel, Jens Oettershagen
2015	J	`jnl`	Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. Michael Griebel, Christian Rieger, Barbara Zwicknagl
2015	J	`jnl`	Optimal scaling parameters for sparse grid discretizations. Numer. Linear Algebra Appl. Michael Griebel, Alexander Hullmann, Peter Oswald
2014	J	`jnl`	Dimensionality Reduction of High-Dimensional Data with a NonLinear Principal Component Aligned Generative Topographic Mapping. SIAM J. Sci. Comput. Michael Griebel, Alexander Hullmann
2014	—	`conf`	EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond. Euro-Par Workshops (2) Dirk Pflüger, Hans-Joachim Bungartz, Michael Griebel, Frank Jenko, Tilman Dannert, Mario Heene, Christoph Kowitz, Alfredo Parra-Hinojosa, Peter Zaspel
2013	J	`jnl`	An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order Hamilton-Jacobi Bellman Equations. J. Sci. Comput. Olivier Bokanowski, Jochen Garcke, Michael Griebel, Irene Klompmaker
2013	J	`jnl`	Fast Approximation of the Discrete Gauss Transform in Higher Dimensions. J. Sci. Comput. Michael Griebel, Daniel Wissel
2013	J	`jnl`	On the construction of sparse tensor product spaces. Math. Comput. Michael Griebel, Helmut Harbrecht
2013	J	`jnl`	The smoothing effect of integration in R Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2012	Misc	`conf`	A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data. HPSC Michael Griebel, Alexander Hullmann
2011	J	`jnl`	A multigrid method for constrained optimal control problems. J. Comput. Appl. Math. Martin Engel, Michael Griebel
2011	—	`conf`	Massively Parallel Fluid Simulations on Amazon's HPC Cloud. NCCA Peter Zaspel, Michael Griebel
2011	J	`jnl`	Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Comput. Vis. Sci. Peter Zaspel, Michael Griebel
2010	J	`jnl`	A Finite Element Method for Density Estimation with Gaussian Process Priors. SIAM J. Numer. Anal. Michael Griebel, Markus Hegland
2010	J	`jnl`	A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations. Comput. Sci. Res. Dev. Michael Griebel, Peter Zaspel
2010	J	`jnl`	Dimension-wise integration of high-dimensional functions with applications to finance. J. Complex. Michael Griebel, Markus Holtz
2010	J	`jnl`	Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures. Multiscale Model. Simul. Michael Griebel, Margrit Klitz
2010	J	`jnl`	The smoothing effect of the ANOVA decomposition. J. Complex. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2009	J	`jnl`	Optimized general sparse grid approximation spaces for operator equations. Math. Comput. Michael Griebel, Stephan Knapek
2009	J	`jnl`	Principal manifold learning by sparse grids. Computing Christian Feuersänger, Michael Griebel
2007	J	`jnl`	A sparse grid space-time discretization scheme for parabolic problems. Computing Michael Griebel, Daniel Oeltz
2007	J	`jnl`	Robust norm equivalencies for diffusion problems. Math. Comput. Michael Griebel, Karl Scherer, Marc Alexander Schweitzer
2006	J	`jnl`	Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods. Numer. Linear Algebra Appl. Michael Griebel, Bram Metsch, Daniel Oeltz, Marc Alexander Schweitzer
2006	J	`jnl`	On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation. Math. Comput. Michael Griebel, Henryk Wozniakowski
2006	J	`jnl`	Space-Time Approximation with Sparse Grids. SIAM J. Sci. Comput. Michael Griebel, Daniel Oeltz, Panayot S. Vassilevski
2005	J	`jnl`	Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids. Multiscale Model. Simul. Marcel Arndt, Michael Griebel
2004	J	`jnl`	Feature sensitive multiscale editing on surfaces. Vis. Comput. Ulrich Clarenz, Michael Griebel, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea
2004	A	`conf`	Flow Field Clustering via Algebraic Multigrid. IEEE Visualization Michael Griebel, Tobias Preußer, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea
2004	—	`book`	Numerische Simulation in der Moleküldynamik Numerische Simulation in der Moleküldynamik Michael Griebel, Stephan Knapek, Gerhard W. Zumbusch, Attila Caglar
2003	J	`jnl`	An Algebraic Multigrid Method for Linear Elasticity. SIAM J. Sci. Comput. Michael Griebel, Daniel Oeltz, Marc Alexander Schweitzer
2003	J	`jnl`	Dimension-Adaptive Tensor-Product Quadrature. Computing Thomas Gerstner, Michael Griebel
2002	A	`conf`	A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements. IEEE Visualization Thomas Gerstner, Dirk Meetschen, Susanne Crewell, Michael Griebel, Clemens Simmer
2002	J	`jnl`	A Particle-Partition of Unity Method-Part II: Efficient Cover Construction and Reliable Integration. SIAM J. Sci. Comput. Michael Griebel, Marc Alexander Schweitzer
2002	J	`jnl`	A Particle-Partition of Unity Method-Part III: A Multilevel Solver. SIAM J. Sci. Comput. Michael Griebel, Marc Alexander Schweitzer
2002	J	`jnl`	Classification with sparse grids using simplicial basis functions. Intell. Data Anal. Jochen Garcke, Michael Griebel
2001	J	`jnl`	Data Mining with Sparse Grids. Computing Jochen Garcke, Michael Griebel, M. Thess
2001	A*	`conf`	Data mining with sparse grids using simplicial basis functions. KDD Jochen Garcke, Michael Griebel
2001	—	`conf`	On the Parallelization of the Sparse Grid Approach for Data Mining. LSSC Jochen Garcke, Michael Griebel
2000	J	`jnl`	A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs. SIAM J. Sci. Comput. Michael Griebel, Marc Alexander Schweitzer
1999	J	`jnl`	A Note on the Complexity of Solving Poisson's Equation for Spaces of Bounded Mixed Derivatives. J. Complex. Hans-Joachim Bungartz, Michael Griebel
1999	—	`ed.`	Large-Scale Scientific Computation for Engineering and Environmental Problems, II (LSSC'99), Sozopol, Bulgaria, June 2-6, 1999 LSSC Michael Griebel, Svetozar Margenov, Plamen Y. Yalamov
1999	J	`jnl`	Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. Parallel Comput. Michael Griebel, Gerhard W. Zumbusch
1999	—	`conf`	Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve. PP Gerhard W. Zumbusch, Michael Griebel
1999	J	`jnl`	Sparse grids for boundary integral equations. Numerische Mathematik Michael Griebel, Peter Oswald, Thomas Schiekofer
1998	J	`jnl`	Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. Computing Michael Griebel
1998	J	`jnl`	Numerical integration using sparse grids. Numer. Algorithms Thomas Gerstner, Michael Griebel
1997	—	`conf`	Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. LSSC Michael Griebel
1997	—	`ed.`	Large-Scale Scientific Computation for Engineering and Environmental Problems, LSSC'97, Varna, Bulgaria, 7-11 June 1997 LSSC Michael Griebel, Oleg P. Iliev, Svetozar Margenov, Panayot S. Vassilevski
1997	—	`conf`	Parallel Multigrid in an Adaptive PDE Solver Based on Hashing. PARCO Michael Griebel, Gerhard W. Zumbusch
1996	—	`book`	Einführung in die Computergraphik - Grundlagen, geometrische Modellierung, Algorithmen. Hans-Joachim Bungartz, Michael Griebel, Christoph Zenger
1995	—	`book`	Numerische Simulation in der Strömungsmechanik - eine praxisorientierte Einführung. Michael Griebel, Thomas Dornseifer, Tilman Neunhoeffer
1995	J	`jnl`	Parallel Domain-Oriented Multilevel Methods. SIAM J. Sci. Comput. Michael Griebel
1995	J	`jnl`	Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Adv. Comput. Math. Michael Griebel, Peter Oswald
1994	J	`jnl`	Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems. SIAM J. Sci. Comput. Michael Griebel
1993	J	`jnl`	Multilevel Gauss-Seidel-algorithms for full and sparse grid problems. Computing Michael Griebel, Christoph Zenger, Stefan Zimmer
1993	—	`conf`	On the Parallel Solution of 3D PDEs on a Network of Workstations and on Vector Computers. Parallel Computer Architectures Michael Griebel, Walter Huber, T. Störtkuhl, Christoph Zenger
1993	J	`jnl`	Remarks on the abstract theory of additive and multiplicative Schwarz algorithms Forschungsberichte, TU Munich Michael Griebel, Peter Oswald
1993	J	`jnl`	The efficient solution of fluid dynamics problems by the combination technique Forschungsberichte, TU Munich Michael Griebel, Veronika Thurner
1992	J	`jnl`	Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems Forschungsberichte, TU Munich Hans-Joachim Bungartz, Michael Griebel, Ulrich Rüde
1992	J	`jnl`	Grid- and point-oriented multilevel algorithms Forschungsberichte, TU Munich Michael Griebel
1992	J	`jnl`	Improved multilevel algorithms for full and sparse grid problems Forschungsberichte, TU Munich Michael Griebel, Christoph Zenger, Stefan Zimmer
1992	—	`conf`	The Combination Technique for Parallel Sparse-Grid-Preconditioning or -Solution of PDEs on Workstation Networks. CONPAR Michael Griebel, Walter Huber, Ulrich Rüde, T. Störtkuhl
1992	J	`jnl`	The Combination Technique for the Sparse Grid Solution of PDE's on Multiprocessor Machines. Parallel Process. Lett. Michael Griebel
1991	J	`jnl`	Multilevel algorithms considered as iterative methods on indefinite systems Forschungsberichte, TU Munich Michael Griebel
1991	J	`jnl`	The combination techniques for the sparse grid solution of PDE's on multiprocessor machines Forschungsberichte, TU Munich Michael Griebel
1990	J	`jnl`	A combination technique for the solution of sparse grid problems Forschungsberichte, TU Munich Michael Griebel, Michael Schneider, Christoph Zenger
1990	J	`jnl`	A parallelizable and vectorizable multi-level-algorithm on sparse grids Forschungsberichte, TU Munich Michael Griebel
1990	J	`jnl`	Parallel multigrid methods on sparse grids Forschungsberichte, TU Munich Michael Griebel
1990	J	`jnl`	Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode Forschungsberichte, TU Munich Michael Griebel
1990	—	`—`	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