Items where Author is "Griebel, Michael"

Article

Griebel, Michael and Harbrecht, Helmut. (2023) Analysis of tensor approximation schemes for continuous functions. Foundations of Computational Mathematics, 23 (1). pp. 219-240.

Griebel, Michael and Harbrecht, Helmut and Schneider, Reinhold. (2023) Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Mathematics of Computation, 92 (342). pp. 1729-1746.

Griebel, Michael and Harbrecht, Helmut and Multerer, Michael D.. (2020) Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM Journal on Numerical Analysis, 58 (1). pp. 684-705.

Griebel, Michael and Rieger, Christian and Zaspel, Peter. (2019) Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations. International Journal for Uncertainty Quantification, 9 (5). pp. 471-492.

Griebel, Michael and Harbrecht, Helmut. (2019) Singular value decomposition versus sparse grids: Refined complexity estimates. IMA journal of numerical analysis, 39 (4). pp. 1652-1671.

Griebel, Michael and Harbrecht, Helmut. (2014) Approximation of bi-variate functions : singular value decomposition versus sparse grids. IMA journal of numerical analysis, Vol. 34, H. 1. pp. 8-54.

Griebel, Michael and Harbrecht, Helmut. (2013) A note on the construction of L-fold sparse tensor product spaces. Constructive approximation, Vol. 38, H. 2. pp. 235-251.

Griebel, Michael and Harbrecht, Helmut. (2013) On the construction of sparse tensor product spaces. Mathematics of computation, Vol. 82, H. 282. pp. 975-994.

Zaspel, Peter and Griebel, Michael. (2013) Solving incompressible two-phase flows on multi-GPU clusters. Computers & Fluids, 80. pp. 356-364.

Zaspel, Peter and Griebel, Michael. (2011) Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Computing and Visualization in Science, 14 (8). pp. 371-383.

Griebel, Michael and Zaspel, Peter. (2010) A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations. Computer Science - Research and Development, 25. pp. 65-73.

Book Section

Griebel, Michael and Harbrecht, Helmut. (2014) On the convergence of the combination technique. In: Sparse Grids and Applications - Munich 2012. Berlin-Heidelberg, pp. 55-74.

Conference or Workshop Item

Pflueger, Dirk and Bungartz, Hans-Joachim and Griebel, Michael and Jenko, Frank and Dannert, Tilman and Heene, Mario and Kowitz, Christoph and Hinojosa, Alfredo Parra and Zaspel, Peter. (2014) EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond. In: Lecture Notes in Computer Science, 8806. Berlin, pp. 565-576.

Zaspel, Peter and Griebel, Michael. (2011) Massively Parallel Fluid Simulations on Amazon's HPC Cloud. In: 2011 First International Symposium on Network Cloud Computing and Applications. pp. 73-78.

Preprint

Griebel, Michael and Harbrecht, Helmut and Schneider, Reinhold. (2022) Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Preprints Fachbereich Mathematik, 2022 (06).

Griebel, Michael and Harbrecht, Helmut. (2017) Singular value decomposition versus sparse grids. Refined complexity estimates. Preprints Fachbereich Mathematik, 2017 (08).

Griebel, Michael and Harbrecht, Helmut and Peters, Michael. (2015) Multilevel quadrature for elliptic parametric partial differential equations on non-nested meshes. Preprints Fachbereich Mathematik, 2015 (29).

Griebel, Michael and Harbrecht, Helmut. (2013) On the convergence of the combination technique. Preprints Fachbereich Mathematik, 2013 (07).