Követés
Markus Bachmayr
Markus Bachmayr
Professor of Mathematics, RWTH Aachen
E-mail megerősítve itt: igpm.rwth-aachen.de - Kezdőlap
Cím
Hivatkozott rá
Hivatkozott rá
Év
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations
M Bachmayr, R Schneider, A Uschmajew
Foundations of Computational Mathematics 16, 1423-1472, 2016
1622016
Iterative total variation schemes for nonlinear inverse problems
M Bachmayr, M Burger
Inverse Problems 25 (10), 105004, 2009
1172009
Atomic cluster expansion: Completeness, efficiency and stability
G Dusson, M Bachmayr, G Csányi, R Drautz, S Etter, C van der Oord, ...
Journal of Computational Physics 454, 110946, 2022
972022
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
M Bachmayr, A Cohen, R DeVore, G Migliorati
ESAIM: Mathematical Modelling and Numerical Analysis 51 (1), 341-363, 2017
872017
Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
M Bachmayr, A Cohen, G Migliorati
ESAIM: Mathematical Modelling and Numerical Analysis 51 (1), 321-339, 2017
832017
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations
M Bachmayr, W Dahmen
Foundations of Computational Mathematics 15, 839-898, 2015
742015
Kolmogorov widths and low-rank approximations of parametric elliptic PDEs
M Bachmayr, A Cohen
Mathematics of Computation 86 (304), 701-724, 2017
592017
Parametric PDEs: sparse or low-rank approximations?
M Bachmayr, A Cohen, W Dahmen
IMA Journal of Numerical Analysis 38 (4), 1661-1708, 2018
492018
Fully discrete approximation of parametric and stochastic elliptic PDEs
M Bachmayr, A Cohen, D Dung, C Schwab
SIAM Journal on Numerical Analysis 55 (5), 2151-2186, 2017
462017
Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients
M Bachmayr, A Cohen, G Migliorati
Journal of Fourier Analysis and Applications 24, 621-649, 2018
442018
Approximation of high-dimensional rank one tensors
M Bachmayr, W Dahmen, R DeVore, L Grasedyck
Constructive Approximation 39, 385-395, 2014
382014
Iterative methods based on soft thresholding of hierarchical tensors
M Bachmayr, R Schneider
Foundations of Computational Mathematics 17, 1037-1083, 2017
372017
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry
M Bachmayr, H Chen, R Schneider
Numerische Mathematik 128, 137-165, 2014
32*2014
Sequential sampling for optimal weighted least squares approximations in hierarchical spaces
B Arras, M Bachmayr, A Cohen
SIAM Journal on Mathematics of Data Science 1 (1), 189-207, 2019
312019
Adaptive low-rank methods: problems on Sobolev spaces
M Bachmayr, W Dahmen
SIAM Journal on Numerical Analysis 54 (2), 744-796, 2016
292016
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs
M Bachmayr, V Kazeev
Foundations of Computational Mathematics 20 (5), 1175-1236, 2020
232020
Adaptive low-rank wavelet methods and applications to two-electron Schrödinger equations
M Bachmayr
Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012
212012
Iterative total variation methods for nonlinear inverse problems
M Bachmayr
na, 2007
192007
Adaptive low-rank methods for problems on Sobolev spaces with error control in L2
M Bachmayr, W Dahmen
ESAIM: Mathematical Modelling and Numerical Analysis 50 (4), 1107-1136, 2016
172016
Existence of dynamical low-rank approximations to parabolic problems
M Bachmayr, H Eisenmann, E Kieri, A Uschmajew
Mathematics of Computation 90 (330), 1799-1830, 2021
152021
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