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Boris Khoromskij
Boris Khoromskij
Senior Researcher, Max-Planck Institute for Mathematics in the Sciences, Leipzig
Verified email at mis.mpg.de - Homepage
Title
Cited by
Cited by
Year
A Sparse ℋ-Matrix Arithmetic.
W Hackbusch, BN Khoromskij
Computing 64 (1), 21-47, 2000
1575*2000
On H 2-Matrices
W Hackbusch, BN Khoromskij, S Sauter
H.-J. Bungartz, et al. (eds.), Lectures on Applied Mathematics, 9-30, 2000
330*2000
O (dlog n)-quantics approximation of nd tensors in high-dimensional numerical modeling
BN Khoromskij
Constructive Approximation 34 (2), 257-280, 2011
2832011
Tensors-structured numerical methods in scientific computing: Survey on recent advances
BN Khoromskij
Chemometrics and Intelligent Laboratory Systems 110 (1), 1-19, 2012
2312012
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs
BN Khoromskij, C Schwab
SIAM Journal on Scientific Computing 33 (1), 364-385, 2011
2032011
Hierarchical Kronecker Tensor Product Approximations
W Hackbusch, BN Khoromskij, EE Tyrtyshnikov
J. Numer. Math. 13 (2), 119-156, 2005
1492005
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Part I. Separable approximation of multi-variate functions
W Hackbusch, BN Khoromskij
Computing 76 (3), 177-202, 2006
1432006
Multigrid accelerated tensor approximation of function related multidimensional arrays
BN Khoromskij, V Khoromskaia
SIAM Journal on Scientific Computing 31 (4), 3002-3026, 2009
1392009
Low-rank explicit QTT representation of the Laplace operator and its inverse
VA Kazeev, BN Khoromskij
SIAM journal on matrix analysis and applications 33 (3), 742-758, 2012
1332012
Approximate iterations for structured matrices
W Hackbusch, BN Khoromskij, EE Tyrtyshnikov
Numerische Mathematik 109 (3), 365-383, 2008
1272008
Fast solution of parabolic problems in the tensor train/quantized tensor train format with initial application to the Fokker--Planck equation
SV Dolgov, BN Khoromskij, IV Oseledets
SIAM Journal on Scientific Computing 34 (6), A3016-A3038, 2012
124*2012
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
L Grasedyck, W Hackbusch, BN Khoromskij
Computing 70 (2), 121-165, 2003
1242003
Hierarchical matrices based on a weak admissibility criterion
W Hackbusch, BN Khoromskij, R Kriemann
Computing 73 (3), 207-243, 2004
1212004
A sparse H-matrix arithmetic: general complexity estimates
W Hackbusch, BN Khoromskij
Journal of computational and applied mathematics 125 (1-2), 479-501, 2000
1212000
Low rank Tucker-type tensor approximation to classical potentials
B Khoromskij, V Khoromskaia
Open Mathematics 5 (3), 523-550, 2007
1162007
Application of hierarchical matrices for computing the Karhunen–Loeve expansion
BN Khoromskij, A Litvinenko, HG Matthies
Computing 84 (1), 49-67, 2009
1142009
-Matrix approximation for the operator exponential with applications
IP Gavrilyuk, W Hackbusch, BN Khoromskij
Numerische Mathematik 92 (1), 83-111, 2002
1122002
Numerical solution of the Hartree–Fock equation in multilevel tensor-structured format
BN Khoromskij, V Khoromskaia, HJ Flad
SIAM journal on scientific computing 33 (1), 45-65, 2011
1052011
Simultaneous state‐time approximation of the chemical master equation using tensor product formats
S Dolgov, B Khoromskij
Numerical Linear Algebra with Applications 22 (2), 197-219, 2015
101*2015
Computation of extreme eigenvalues in higher dimensions using block tensor train format
SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov
Computer Physics Communications 185 (4), 1207-1216, 2014
1012014
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