Michael Griebel

Affiliations:
  • University of Bonn, Germany


According to our database1, Michael Griebel authored at least 96 papers between 1990 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Efficient solution of ill-posed integral equations through averaging.
CoRR, 2024

2023
A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves.
SIAM J. Sci. Comput., April, 2023

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness.
Math. Comput., February, 2023

Analysis of Tensor Approximation Schemes for Continuous Functions.
Found. Comput. Math., February, 2023

Convergence analysis of online algorithms for vector-valued kernel regression.
CoRR, 2023

2022
Deep Neural Networks and PIDE Discretizations.
SIAM J. Math. Data Sci., September, 2022

A Dimension-adaptive Combination Technique for Uncertainty Quantification.
CoRR, 2022

2021
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data.
CoRR, 2021

A fault-tolerant domain decomposition method based on space-filling curves.
CoRR, 2021

2020
EXAHD: A Massively Parallel Fault Tolerant Sparse Grid Approach for High-Dimensional Turbulent Plasma Simulations.
Proceedings of the Software for Exascale Computing - SPPEXA 2016-2019, 2020

Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains.
SIAM J. Numer. Anal., 2020

Stochastic subspace correction methods and fault tolerance.
Math. Comput., 2020

Multilevel Approximation for Generalized Method of Moments Estimators.
CoRR, 2020

2019
A Representer Theorem for Deep Kernel Learning.
J. Mach. Learn. Res., 2019

On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields.
CoRR, 2019

Simulation of micron-scale drop impact.
Comput. Math. Appl., 2019

Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids.
Proceedings of the 2019 SIAM International Conference on Data Mining, 2019

2018
On the Decay Rate of the Singular Values of Bivariate Functions.
SIAM J. Numer. Anal., 2018

An Adaptive Multiscale Approach for Electronic Structure Methods.
Multiscale Model. Simul., 2018

ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs.
J. Complex., 2018

Regularized Kernel-Based Reconstruction in Generalized Besov Spaces.
Found. Comput. Math., 2018

Multiscale simulation of polymeric fluids using the sparse grid combination technique.
Appl. Math. Comput., 2018

2017
Error Estimates for Multivariate Regression on Discretized Function Spaces.
SIAM J. Numer. Anal., 2017

The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth.
Math. Comput., 2017

Note on "The smoothing effect of integration in ℝ<sup>d</sup> and the ANOVA decomposition".
Math. Comput., 2017

Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations.
SIAM/ASA J. Uncertain. Quantification, 2017

Stable splittings of Hilbert spaces of functions of infinitely many variables.
J. Complex., 2017

2016
A sparse grid based method for generative dimensionality reduction of high-dimensional data.
J. Comput. Phys., 2016

Hyperbolic cross approximation in infinite dimensions.
J. Complex., 2016

On tensor product approximation of analytic functions.
J. Approx. Theory, 2016

2015
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods.
SIAM J. Numer. Anal., 2015

Optimal scaling parameters for sparse grid discretizations.
Numer. Linear Algebra Appl., 2015

2014
Dimensionality Reduction of High-Dimensional Data with a NonLinear Principal Component Aligned Generative Topographic Mapping.
SIAM J. Sci. Comput., 2014

EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond.
Proceedings of the Euro-Par 2014: Parallel Processing Workshops, 2014

2013
The smoothing effect of integration in R<sup>d</sup> and the ANOVA decomposition.
Math. Comput., 2013

On the construction of sparse tensor product spaces.
Math. Comput., 2013

Fast Approximation of the Discrete Gauss Transform in Higher Dimensions.
J. Sci. Comput., 2013

An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order Hamilton-Jacobi Bellman Equations.
J. Sci. Comput., 2013

2012
A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data.
Proceedings of the Modeling, Simulation and Optimization of Complex Processes, 2012

2011
A multigrid method for constrained optimal control problems.
J. Comput. Appl. Math., 2011

Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver.
Comput. Vis. Sci., 2011

Massively Parallel Fluid Simulations on Amazon's HPC Cloud.
Proceedings of the IEEE First Symposium on Network/Cloud Computing and Applications, 2011

2010
A Finite Element Method for Density Estimation with Gaussian Process Priors.
SIAM J. Numer. Anal., 2010

Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures.
Multiscale Model. Simul., 2010

The smoothing effect of the ANOVA decomposition.
J. Complex., 2010

Dimension-wise integration of high-dimensional functions with applications to finance.
J. Complex., 2010

A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations.
Comput. Sci. Res. Dev., 2010

2009
Optimized general sparse grid approximation spaces for operator equations.
Math. Comput., 2009

Principal manifold learning by sparse grids.
Computing, 2009

2007
Robust norm equivalencies for diffusion problems.
Math. Comput., 2007

A sparse grid space-time discretization scheme for parabolic problems.
Computing, 2007

2006
Space-Time Approximation with Sparse Grids.
SIAM J. Sci. Comput., 2006

Coarse grid classification: a parallel coarsening scheme for algebraic multigrid methods.
Numer. Linear Algebra Appl., 2006

On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation.
Math. Comput., 2006

2005
Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids.
Multiscale Model. Simul., 2005

2004
Feature sensitive multiscale editing on surfaces.
Vis. Comput., 2004

Flow Field Clustering via Algebraic Multigrid.
Proceedings of the 15th IEEE Visualization Conference, 2004

Numerische Simulation in der Moleküldynamik
Springer-Lehrbuch, Springer, ISBN: 978-3-540-41856-6, 2004

2003
An Algebraic Multigrid Method for Linear Elasticity.
SIAM J. Sci. Comput., 2003

Dimension-Adaptive Tensor-Product Quadrature.
Computing, 2003

2002
A Particle-Partition of Unity Method-Part II: Efficient Cover Construction and Reliable Integration.
SIAM J. Sci. Comput., 2002

A Particle-Partition of Unity Method-Part III: A Multilevel Solver.
SIAM J. Sci. Comput., 2002

Classification with sparse grids using simplicial basis functions.
Intell. Data Anal., 2002

A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements.
Proceedings of the 13th IEEE Visualization Conference, 2002

2001
Data Mining with Sparse Grids.
Computing, 2001

On the Parallelization of the Sparse Grid Approach for Data Mining.
Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

Data mining with sparse grids using simplicial basis functions.
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining, 2001

2000
A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs.
SIAM J. Sci. Comput., 2000

1999
Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves.
Parallel Comput., 1999

Sparse grids for boundary integral equations.
Numerische Mathematik, 1999

A Note on the Complexity of Solving Poisson's Equation for Spaces of Bounded Mixed Derivatives.
J. Complex., 1999

Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve.
Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

1998
Numerical integration using sparse grids.
Numer. Algorithms, 1998

Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences.
Computing, 1998

1997
Parallel Multigrid in an Adaptive PDE Solver Based on Hashing.
Proceedings of the Parallel Computing: Fundamentals, 1997

1996
Einführung in die Computergraphik - Grundlagen, geometrische Modellierung, Algorithmen.
Mathematische Grundlagen der Informatik, Vieweg, ISBN: 978-3-528-06769-4, 1996

1995
Parallel Domain-Oriented Multilevel Methods.
SIAM J. Sci. Comput., 1995

Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems.
Adv. Comput. Math., 1995

Numerische Simulation in der Strömungsmechanik - eine praxisorientierte Einführung.
Vieweg, ISBN: 978-3-528-06761-8, 1995

1994
Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems.
SIAM J. Sci. Comput., 1994

1993
Remarks on the abstract theory of additive and multiplicative Schwarz algorithms
Forschungsberichte, TU Munich, 1993

The efficient solution of fluid dynamics problems by the combination technique
Forschungsberichte, TU Munich, 1993

Multilevel Gauss-Seidel-algorithms for full and sparse grid problems.
Computing, 1993

On the Parallel Solution of 3D PDEs on a Network of Workstations and on Vector Computers.
Proceedings of the Parallel Computer Architectures: Theory, 1993

1992
Improved multilevel algorithms for full and sparse grid problems
Forschungsberichte, TU Munich, 1992

Grid- and point-oriented multilevel algorithms
Forschungsberichte, TU Munich, 1992

Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems
Forschungsberichte, TU Munich, 1992

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

The Combination Technique for Parallel Sparse-Grid-Preconditioning or -Solution of PDEs on Workstation Networks.
Proceedings of the Parallel Processing: CONPAR 92, 1992

1991
Multilevel algorithms considered as iterative methods on indefinite systems
Forschungsberichte, TU Munich, 1991

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

1990
Parallel multigrid methods on sparse grids
Forschungsberichte, TU Munich, 1990

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

A combination technique for the solution of sparse grid problems
Forschungsberichte, TU Munich, 1990

Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode
Forschungsberichte, TU Munich, 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.
PhD thesis, 1990


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