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Markus Bachmayr
Markus Bachmayr
Professor of Mathematics, RWTH Aachen
Verified email at igpm.rwth-aachen.de - Homepage
Title
Cited by
Cited by
Year
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 (6), 1423-1472, 2016
1262016
Iterative total variation schemes for nonlinear inverse problems
M Bachmayr, M Burger
Inverse Problems 25 (10), 105004, 2009
1092009
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
722017
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
692017
Adaptive near-optimal rank tensor approximation for high-dimensional operator equations
M Bachmayr, W Dahmen
Foundations of Computational Mathematics 15 (4), 839-898, 2015
692015
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
452022
Kolmogorov widths and low-rank approximations of parametric elliptic PDEs
M Bachmayr, A Cohen
Mathematics of Computation 86 (304), 701-724, 2017
402017
Parametric PDEs: sparse or low-rank approximations?
M Bachmayr, A Cohen, W Dahmen
IMA Journal of Numerical Analysis 38 (4), 1661-1708, 2018
382018
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
372017
Approximation of high-dimensional rank one tensors
M Bachmayr, W Dahmen, R DeVore, L Grasedyck
Constructive Approximation 39 (2), 385-395, 2014
372014
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 (3), 621-649, 2018
362018
Iterative methods based on soft thresholding of hierarchical tensors
M Bachmayr, R Schneider
Foundations of Computational Mathematics 17 (4), 1037-1083, 2017
332017
Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry
M Bachmayr, H Chen, R Schneider
Numerische Mathematik 128 (1), 137-165, 2014
28*2014
Adaptive low-rank methods: problems on Sobolev spaces
M Bachmayr, W Dahmen
SIAM Journal on Numerical Analysis 54 (2), 744-796, 2016
242016
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
232019
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
212020
Adaptive low-rank wavelet methods and applications to two-electron Schrödinger equations
M Bachmayr
Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012
192012
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
142016
Hyperbolic wavelet discretization of the two-electron Schrödinger equation in an explicitly correlated formulation
M Bachmayr
ESAIM: Mathematical Modelling and Numerical Analysis 46 (6), 1337-1362, 2012
112012
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Articles 1–20