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Boris N. Khoromskij

Observed names: B Khoromskij, B. Khoromskij, B. N. Khoromskij, B.N. Khoromskij, Boris Khoromskij, Khoromskij, B N, Khoromskij, B. N., Khoromskij, Boris, Khoromskij, Boris N., Б. Н. Хоромский
Observed institutions: University of Stuttgart, Russian Academy of Sciences, Max Planck Society, Christian-Albrechts-Universität zu Kiel, Joint Institute for Nuclear Research, Max Planck Institute for Mathematics in the Sciences, Weierstrass Institute for Applied Analysis and Stochastics, Max Planck Institute for Mathematics, Max Planck Institute for Dynamics of Complex Technical Systems, Universität Trier, Technische Universität Braunschweig
ORCID: 0000-0002-5853-5521
Observed ORCID: 0000-0002-5853-5521
OpenAlex ID: A5043445843
A Sparse ℋ-Matrix Arithmetic.
2000 · W. Hackbusch, B. N. Khoromskij · Computing · 418
O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
2011 · Boris N. Khoromskij · Constructive Approximation · 279
On H 2-Matrices
2000 · W. Hackbusch, B. Khoromskij, et al. · Springer eBooks · 197
Tensors-structured numerical methods in scientific computing: Survey on recent advances
2011 · Boris N. Khoromskij · Chemometrics and Intelligent Laboratory Systems · 189
Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
2011 · Boris N. Khoromskij, Christoph Schwab · SIAM Journal on Scientific Computing · 171
Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation
2012 · S. V. Dolgov, B. N. Khoromskij, et al. · SIAM Journal on Scientific Computing · 126
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions
2005 · W. Hackbusch, B. N. Khoromskij · Computing · 125
Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse
2012 · Vladimir A. Kazeev, Boris N. Khoromskij · SIAM Journal on Matrix Analysis and Applications · 118
Hierarchical Kronecker tensor-product approximations
2005 · W. Hackbusch, B. N. Khoromskij, et al. · Journal of Numerical Mathematics · 118
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices
2003 · L. Grasedyck, W. Hackbusch, et al. · Computing · 114
Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays
2009 · B. N. Khoromskij, V. Khoromskaia · SIAM Journal on Scientific Computing · 107
Hierarchical Matrices Based on a Weak Admissibility Criterion
2004 · W. Hackbusch, B. N. Khoromskij, et al. · Computing · 101
Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems
2004 · Ivan P. Gavrilyuk, Wolfgang Hackbusch, et al. · Computing · 100
Computation of extreme eigenvalues in higher dimensions using block tensor train format
2014 · S.V. Dolgov, B.N. Khoromskij, et al. · Computer Physics Communications · 98
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Tensor-product approximation to operators and functions in high dimensions
2007 · Wolfgang Hackbusch, Boris N. Khoromskij · Journal of Complexity · 88
Tensor Numerical Methods in Scientific Computing
2018 · Boris N. Khoromskij · De Gruyter eBooks · 87
Approximate iterations for structured matrices
2008 · Wolfgang Hackbusch, Boris N. Khoromskij, et al. · Numerische Mathematik · 85
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Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format
2011 · B. N. Khoromskij, V. Khoromskaia, et al. · SIAM Journal on Scientific Computing · 84
A sparse H-matrix arithmetic: general complexity estimates
2000 · W. Hackbusch, B.N. Khoromskij · Journal of Computational and Applied Mathematics · 82
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Low rank Tucker-type tensor approximation to classical potentials
2007 · B. N. Khoromskij, V. Khoromskaia · Open Mathematics · 79
Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity
2013 · Vladimir A. Kazeev, Boris N. Khoromskij, et al. · SIAM Journal on Scientific Computing · 78
Low rank tensor methods in Galerkin-based isogeometric analysis
2016 · Angelos Mantzaflaris, Bert Jüttler, et al. · Computer Methods in Applied Mechanics and Engineering · 77
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Application of hierarchical matrices for computing the Karhunen–Loève expansion
2008 · B. N. Khoromskij, A. Litvinenko, et al. · Computing · 77
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$\mathcal{H}$ -Matrix approximation for the operator exponential with applications
2002 · Ivan P. Gavrilyuk, Wolfgang Hackbusch, et al. · Numerische Mathematik · 73
Superfast Fourier Transform Using QTT Approximation
2012 · Sergey Dolgov, Boris Khoromskij, et al. · Journal of Fourier Analysis and Applications · 72
Works count: 210
Citation count: 5,300
H-index: 43
I10-index: 89
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