Boris Khoromskij

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Venera KhoromskaiaSenior Scientist, Max-Planck Institute for Mathematics in the SciencesVerified email at mis.mpg.de
Sergey DolgovUniversity of BathVerified email at bath.ac.uk
Ivan GavrilyukProfessor , University of Cooperative Education EisenachVerified email at ba-eisenach.de
Eugene TyrtyshnikovMarchuk Institute of Numerical Mathematics of Russian Academy of SciencesVerified email at inm.ras.ru
Ivan OseledetsAIRI; Skolkovo Institute of Science and TechnologyVerified email at skoltech.ru
Gabriel WittumVerified email at g-csc.de
Alexander LitvinenkoChair of Mathematics for Uncertainty Quantification, RWTH AachenVerified email at uq.rwth-aachen.de
Hermann G MatthiesProfessor of Computer Science, Inst. of Scientific Computing, TU BraunschweigVerified email at tu-bs.de
Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Dmitry SavostyanovUniversity of Essex, School of Mathematics, Statistics and Actuarial ScienceVerified email at essex.ac.uk
Lars GrasedyckProfessor für MathematikVerified email at igpm.rwth-aachen.de
Professor Dr. Reinhold SchneiderProfessor für Mathematik, Technische Universität BerlinVerified email at math.tu-berlin.de
Angelos Mantzaflaris (Άγγελος Μαντζα...University of Côte d'Azur, Inria, FranceVerified email at inria.fr
Cristóbal BertoglioBernoulli Institute - University of GroningenVerified email at rug.nl
Sergey RepinResearch Professor, University of Jyväskylä, Finland; V.A. Steklov Institute of Mathematics at StVerified email at jyu.fi
Roland GlowinskiDepartment of Mathematics, University of HoustonVerified email at math.uh.edu

Boris Khoromskij

Senior Researcher, Max-Planck Institute for Mathematics in the Sciences, Leipzig

Verified email at mis.mpg.de - Homepage

Numerical analysis Tensor numerical methods High-dimensional PDEs


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
A Sparse ℋ-Matrix Arithmetic. W Hackbusch, BN Khoromskij Computing 64 (1), 21-47, 2000	1771*	2000
O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling BN Khoromskij Constructive Approximation 34, 257-280, 2011	344	2011
Tensors-structured numerical methods in scientific computing: Survey on recent advances BN Khoromskij Chemometrics and Intelligent Laboratory Systems 110 (1), 1-19, 2012	247	2012
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs BN Khoromskij, C Schwab SIAM journal on scientific computing 33 (1), 364-385, 2011	229	2011
Hierarchical Kronecker Tensor Product Approximations W Hackbusch, BN Khoromskij, EE Tyrtyshnikov J. Numer. Math. 13 (2), 119-156, 2005	173	2005
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Part I. Separable approximation of multi-variate functions W Hackbusch, BN Khoromskij Computing 76, 177-202, 2006	160	2006
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	158*	2012
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	158	2012
Multigrid accelerated tensor approximation of function related multidimensional arrays BN Khoromskij, V Khoromskaia SIAM Journal on Scientific Computing 31 (4), 3002-3026, 2009	147	2009
Hierarchical matrices based on a weak admissibility criterion W Hackbusch, BN Khoromskij, R Kriemann Computing 73, 207-243, 2004	145	2004
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices L Grasedyck, W Hackbusch, BN Khoromskij Computing 70, 121-165, 2003	136	2003
Approximate iterations for structured matrices W Hackbusch, BN Khoromskij, EE Tyrtyshnikov Numerische Mathematik 109 (3), 365-383, 2008	135	2008
A sparse H-matrix arithmetic: general complexity estimates W Hackbusch, BN Khoromskij Journal of computational and applied mathematics 125 (1-2), 479-501, 2000	127	2000
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	126	2014
Low rank Tucker-type tensor approximation to classical potentials B Khoromskij, V Khoromskaia Open Mathematics 5 (3), 523-550, 2007	122	2007
Application of hierarchical matrices for computing the Karhunen–Loève expansion BN Khoromskij, A Litvinenko, HG Matthies Computing 84 (1), 49-67, 2009	119	2009
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	115*	2015
-Matrix approximation for the operator exponential with applications IP Gavrilyuk, W Hackbusch, BN Khoromskij Numerische Mathematik 92 (1), 83-111, 2002	115	2002
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	112	2011
Tensor-product approximation to operators and functions in high dimensions W Hackbusch, BN Khoromskij Journal of Complexity 23 (4-6), 697-714, 2007	111	2007

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