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ORCIDMichael Griebel
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- affiliation: University of Bonn, Germany
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2020 – today
- 2024
[i23]Michael Griebel, Tim Jahn:
Efficient solution of ill-posed integral equations through averaging. CoRR abs/2401.16250 (2024)- 2023
- [j61]Michael Griebel, Helmut Harbrecht:
Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. 23(1): 219-240 (2023) - [j60]Michael Griebel, Helmut Harbrecht, Reinhold Schneider:
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. 92(342): 1729-1746 (2023) - [j59]Michael Griebel, Marc Alexander Schweitzer, Lukas Troska:
A Dimension-Oblivious Domain Decomposition Method Based on Space-Filling Curves. SIAM J. Sci. Comput. 45(2): 369- (2023) - [i22]Michael Griebel, Peter Oswald:
Convergence analysis of online algorithms for vector-valued kernel regression. CoRR abs/2309.07779 (2023) - 2022
- [j58]Bastian Bohn
, Michael Griebel, Dinesh Kannan:
Deep Neural Networks and PIDE Discretizations. SIAM J. Math. Data Sci. 4(3): 1145-1170 (2022) - [i21]Michael Griebel, Helmut Harbrecht, Reinhold Schneider:
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR abs/2203.04100 (2022) - [i20]Uta Seidler, Michael Griebel:
A Dimension-adaptive Combination Technique for Uncertainty Quantification. CoRR abs/2204.05574 (2022) - 2021
- [i19]Michael Griebel, Marc Alexander Schweitzer, Lukas Troska:
A fault-tolerant domain decomposition method based on space-filling curves. CoRR abs/2103.03315 (2021) - [i18]Bastian Bohn, Michael Griebel, Dinesh Kannan:
Deep Neural Networks and PIDE discretizations. CoRR abs/2108.02430 (2021) - [i17]Michael Griebel, Marc Alexander Schweitzer, Lukas Troska:
A dimension-oblivious domain decomposition method based on space-filling curves. CoRR abs/2110.11211 (2021) - [i16]Michael Griebel, Guanglian Li, Christian Rieger:
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR abs/2112.02526 (2021) - 2020
- [j57]Michael Griebel, Peter Oswald:
Stochastic subspace correction methods and fault tolerance. Math. Comput. 89(321): 279-312 (2020) - [j56]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): 684-705 (2020) - [p1]Rafael Lago, Michael Obersteiner, Theresa Pollinger, Johannes Rentrop, Hans-Joachim Bungartz, Tilman Dannert, Michael Griebel, Frank Jenko, Dirk Pflüger:
EXAHD: A Massively Parallel Fault Tolerant Sparse Grid Approach for High-Dimensional Turbulent Plasma Simulations. Software for Exascale Computing 2020: 301-329 - [i15]Alexandros Gilch, Michael Griebel, Jens Oettershagen:
Multilevel Approximation for Generalized Method of Moments Estimators. CoRR abs/2012.11501 (2020)
2010 – 2019
- 2019
- [j55]Michael Griebel, Margrit Klitz:
Simulation of micron-scale drop impact. Comput. Math. Appl. 78(9): 3027-3043 (2019) - [j54]Bastian Bohn, Christian Rieger, Michael Griebel:
A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. 20: 64:1-64:32 (2019) - [c13]Bastian Bohn, Michael Griebel, Jens Oettershagen:
Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. SDM 2019: 163-171 - [i14]Michael Griebel, Guanglian Li:
On the Numerical Approximation of the Karhunen-Loève Expansion for Lognormal Random Fields. CoRR abs/1908.00253 (2019) - 2018
- [j53]Alexander Rüttgers, Michael Griebel:
Multiscale simulation of polymeric fluids using the sparse grid combination technique. Appl. Math. Comput. 319: 425-443 (2018) - [j52]Michael Griebel, Christian Rieger, Barbara Zwicknagl:
Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. 18(2): 459-508 (2018) - [j51]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: 66-89 (2018) - [j50]Sambasiva Rao Chinnamsetty, Michael Griebel, Jan Hamaekers:
An Adaptive Multiscale Approach for Electronic Structure Methods. Multiscale Model. Simul. 16(2): 752-776 (2018) - [j49]Michael Griebel, Guanglian Li:
On the Decay Rate of the Singular Values of Bivariate Functions. SIAM J. Numer. Anal. 56(2): 974-993 (2018) - [i13]Bastian Bohn, Michael Griebel, Jens Oettershagen:
Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids. CoRR abs/1810.06749 (2018) - 2017
- [j48]Michael Griebel, Peter Oswald:
Stable splittings of Hilbert spaces of functions of infinitely many variables. J. Complex. 41: 126-151 (2017) - [j47]Michael Griebel, Christian Rieger:
Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification 5(1): 111-137 (2017) - [j46]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition". Math. Comput. 86(306): 1847-1854 (2017) - [j45]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): 1855-1876 (2017) - [j44]Bastian Bohn, Michael Griebel:
Error Estimates for Multivariate Regression on Discretized Function Spaces. SIAM J. Numer. Anal. 55(4): 1843-1866 (2017) - [e3]Michael Griebel, Anton Schüller, Marc Alexander Schweitzer:
Scientific Computing and Algorithms in Industrial Simulations, Projects and Products of Fraunhofer SCAI. Springer 2017, ISBN 978-3-319-62457-0 [contents] - [i12]Bastian Bohn, Michael Griebel, Christian Rieger:
A representer theorem for deep kernel learning. CoRR abs/1709.10441 (2017) - 2016
- [j43]Michael Griebel, Jens Oettershagen:
On tensor product approximation of analytic functions. J. Approx. Theory 207: 348-379 (2016) - [j42]Dinh Dung, Michael Griebel:
Hyperbolic cross approximation in infinite dimensions. J. Complex. 33: 55-88 (2016) - [j41]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 (2016) - 2015
- [j40]Michael Griebel, Alexander Hullmann, Peter Oswald:
Optimal scaling parameters for sparse grid discretizations. Numer. Linear Algebra Appl. 22(1): 76-100 (2015) - [j39]Michael Griebel, Christian Rieger, Barbara Zwicknagl:
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. 53(2): 852-873 (2015) - 2014
- [j38]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) - [c12]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: 565-576 - 2013
- [j37]Michael Griebel, Daniel Wissel:
Fast Approximation of the Discrete Gauss Transform in Higher Dimensions. J. Sci. Comput. 55(1): 149-172 (2013) - [j36]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): 575-605 (2013) - [j35]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of integration in Rd and the ANOVA decomposition. Math. Comput. 82(281): 383-400 (2013) - [j34]Michael Griebel, Helmut Harbrecht:
On the construction of sparse tensor product spaces. Math. Comput. 82(282): 975-994 (2013) - 2012
- [c11]Michael Griebel, Alexander Hullmann:
A Sparse Grid Based Generative Topographic Mapping for the Dimensionality Reduction of High-Dimensional Data. HPSC 2012: 51-62 - 2011
- [j33]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): 371-383 (2011) - [j32]Martin Engel, Michael Griebel:
A multigrid method for constrained optimal control problems. J. Comput. Appl. Math. 235(15): 4368-4388 (2011) - [c10]Peter Zaspel, Michael Griebel:
Massively Parallel Fluid Simulations on Amazon's HPC Cloud. NCCA 2011: 73-78 - 2010
- [j31]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): 65-73 (2010) - [j30]Michael Griebel, Markus Holtz:
Dimension-wise integration of high-dimensional functions with applications to finance. J. Complex. 26(5): 455-489 (2010) - [j29]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of the ANOVA decomposition. J. Complex. 26(5): 523-551 (2010) - [j28]Michael Griebel, Margrit Klitz:
Homogenization and Numerical Simulation of Flow in Geometries with Textile Microstructures. Multiscale Model. Simul. 8(4): 1439-1460 (2010) - [j27]Michael Griebel, Markus Hegland:
A Finite Element Method for Density Estimation with Gaussian Process Priors. SIAM J. Numer. Anal. 47(6): 4759-4792 (2010)
2000 – 2009
- 2009
- [j26]Christian Feuersänger, Michael Griebel:
Principal manifold learning by sparse grids. Computing 85(4): 267-299 (2009) - [j25]Michael Griebel, Stephan Knapek:
Optimized general sparse grid approximation spaces for operator equations. Math. Comput. 78(268): 2223-2257 (2009) - 2007
- [j24]Michael Griebel, Daniel Oeltz:
A sparse grid space-time discretization scheme for parabolic problems. Computing 81(1): 1-34 (2007) - [j23]Michael Griebel, Karl Scherer, Marc Alexander Schweitzer:
Robust norm equivalencies for diffusion problems. Math. Comput. 76(259): 1141-1161 (2007) - 2006
- [j22]Michael Griebel, Henryk Wozniakowski:
On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation. Math. Comput. 75(255): 1259-1286 (2006) - [j21]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): 193-214 (2006) - [j20]Michael Griebel, Daniel Oeltz, Panayot S. Vassilevski:
Space-Time Approximation with Sparse Grids. SIAM J. Sci. Comput. 28(2): 701-727 (2006) - 2005
- [j19]Marcel Arndt, Michael Griebel:
Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids. Multiscale Model. Simul. 4(2): 531-562 (2005) - 2004
- [b4]Michael Griebel, Stephan Knapek, Gerhard W. Zumbusch, Attila Caglar:
Numerische Simulation in der Moleküldynamik. Springer-Lehrbuch, Springer 2004, ISBN 978-3-540-41856-6, pp. 1-426 - [j18]Ulrich Clarenz, Michael Griebel, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea:
Feature sensitive multiscale editing on surfaces. Vis. Comput. 20(5): 329-343 (2004) - [c9]Michael Griebel, Tobias Preußer, Martin Rumpf, Marc Alexander Schweitzer, Alexandru C. Telea:
Flow Field Clustering via Algebraic Multigrid. IEEE Visualization 2004: 35-42 - 2003
- [j17]Thomas Gerstner, Michael Griebel:
Dimension-Adaptive Tensor-Product Quadrature. Computing 71(1): 65-87 (2003) - [j16]Michael Griebel, Daniel Oeltz, Marc Alexander Schweitzer:
An Algebraic Multigrid Method for Linear Elasticity. SIAM J. Sci. Comput. 25(2): 385-407 (2003) - 2002
- [j15]Jochen Garcke, Michael Griebel:
Classification with sparse grids using simplicial basis functions. Intell. Data Anal. 6(6): 483-502 (2002) - [j14]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): 1655-1682 (2002) - [j13]Michael Griebel, Marc Alexander Schweitzer:
A Particle-Partition of Unity Method-Part III: A Multilevel Solver. SIAM J. Sci. Comput. 24(2): 377-409 (2002) - [c8]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: 533-536 - 2001
- [j12]Jochen Garcke, Michael Griebel, M. Thess:
Data Mining with Sparse Grids. Computing 67(3): 225-253 (2001) - [c7]Jochen Garcke, Michael Griebel:
Data mining with sparse grids using simplicial basis functions. KDD 2001: 87-96 - [c6]Jochen Garcke, Michael Griebel:
On the Parallelization of the Sparse Grid Approach for Data Mining. LSSC 2001: 22-32 - 2000
- [j11]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): 853-890 (2000)
1990 – 1999
- 1999
- [j10]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): 167-199 (1999) - [j9]Michael Griebel, Peter Oswald, Thomas Schiekofer:
Sparse grids for boundary integral equations. Numerische Mathematik 83(2): 279-312 (1999) - [j8]Michael Griebel, Gerhard W. Zumbusch:
Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves. Parallel Comput. 25(7): 827-843 (1999) - [c5]Gerhard W. Zumbusch, Michael Griebel:
Parallelization of an Adaptive Multilevel Code Using Keys and a Space-Filling Curve. PP 1999 - [e2]Michael Griebel, Svetozar Margenov, Plamen Y. Yalamov:
Large-Scale Scientific Computation for Engineering and Environmental Problems, II (LSSC'99), Sozopol, Bulgaria, June 2-6, 1999. Notes on Numerical Fluid Mechanics 73, Vieweg 1999 [contents] - 1998
- [j7]Michael Griebel:
Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. Computing 61(2): 151-180 (1998) - [j6]Thomas Gerstner, Michael Griebel:
Numerical integration using sparse grids. Numer. Algorithms 18(3-4): 209-232 (1998) - 1997
- [c4]Michael Griebel:
Adaptive Sparse Grid Multilevel Methods for Elliptic PDEs Based on Finite Differences. LSSC 1997: 42-65 - [c3]Michael Griebel, Gerhard W. Zumbusch:
Parallel Multigrid in an Adaptive PDE Solver Based on Hashing. PARCO 1997: 589-600 - [e1]Michael Griebel, Oleg P. Iliev, Svetozar Margenov, Panayot S. Vassilevski:
Large-Scale Scientific Computation for Engineering and Environmental Problems, LSSC'97, Varna, Bulgaria, 7-11 June 1997. Notes on Numerical Fluid Mechanics 62, Vieweg 1997 [contents] - 1996
- [b3]Hans-Joachim Bungartz, Michael Griebel, Christoph Zenger:
Einführung in die Computergraphik - Grundlagen, geometrische Modellierung, Algorithmen. Mathematische Grundlagen der Informatik, Vieweg 1996, ISBN 978-3-528-06769-4, pp. I-XI, 1-237 - 1995
- [b2]Michael Griebel, Thomas Dornseifer, Tilman Neunhoeffer:
Numerische Simulation in der Strömungsmechanik - eine praxisorientierte Einführung. Vieweg 1995, ISBN 978-3-528-06761-8, pp. I-XIII, 1-219 - [j5]Michael Griebel, Peter Oswald:
Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. Adv. Comput. Math. 4(1): 171-206 (1995) - [j4]Michael Griebel:
Parallel Domain-Oriented Multilevel Methods. SIAM J. Sci. Comput. 16(5): 1105-1125 (1995) - 1994
- [j3]Michael Griebel:
Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems. SIAM J. Sci. Comput. 15(3): 547-565 (1994) - 1993
- [j2]Michael Griebel, Christoph Zenger, Stefan Zimmer:
Multilevel Gauss-Seidel-algorithms for full and sparse grid problems. Computing 50(2): 127-148 (1993) - [c2]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: 276-291 - [i11]Michael Griebel, Veronika Thurner:
The efficient solution of fluid dynamics problems by the combination technique. Forschungsberichte, TU Munich TUM I 9301: 1-24 (1993) - [i10]Michael Griebel, Peter Oswald:
Remarks on the abstract theory of additive and multiplicative Schwarz algorithms. Forschungsberichte, TU Munich TUM I 9314: 1-14 (1993) - 1992
- [j1]Michael Griebel:
The Combination Technique for the Sparse Grid Solution of PDE's on Multiprocessor Machines. Parallel Process. Lett. 2: 61-70 (1992) - [c1]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: 217-228 - [i9]Hans-Joachim Bungartz, Michael Griebel, Ulrich Rüde:
Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems. Forschungsberichte, TU Munich TUM I 9213: 1-12 (1992) - [i8]Michael Griebel:
Grid- and point-oriented multilevel algorithms. Forschungsberichte, TU Munich TUM I 9224: 1-15 (1992) - [i7]Michael Griebel, Christoph Zenger, Stefan Zimmer:
Improved multilevel algorithms for full and sparse grid problems. Forschungsberichte, TU Munich TUM I 9225: 1-28 (1992) - 1991
- [i6]Michael Griebel:
The combination techniques for the sparse grid solution of PDE's on multiprocessor machines. Forschungsberichte, TU Munich TUM I 9121: 1-8 (1991) - [i5]Michael Griebel:
Multilevel algorithms considered as iterative methods on indefinite systems. Forschungsberichte, TU Munich TUM I 9143: 1-31 (1991) - 1990
- [b1]Michael Griebel:
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. Technical University Munich, Germany, TUM-I 9007, 1990, pp. 1-123 - [i4]Michael Griebel:
Zur Lösung von Finite-Differenzen- und Finite-Element-Gleichungen mittels der Hierarchischen-Transformations-Mehrgitter-Methode. Forschungsberichte, TU Munich TUM I 9007: 1-123 (1990) - [i3]Michael Griebel, Michael Schneider, Christoph Zenger:
A combination technique for the solution of sparse grid problems. Forschungsberichte, TU Munich TUM I 9038: 1-24 (1990) - [i2]Michael Griebel:
A parallelizable and vectorizable multi-level-algorithm on sparse grids. Forschungsberichte, TU Munich TUM I 9039: 1-7 (1990) - [i1]Michael Griebel:
Parallel multigrid methods on sparse grids. Forschungsberichte, TU Munich TUM I 9053: 1-19 (1990)
Coauthor Index
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