Boris N. Khoromskij
Orcid: 0000-0002-5853-5521
According to our database1,
Boris N. Khoromskij
authored at least 82 papers
between 1995 and 2023.
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Bibliography
2023
Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners.
Numer. Linear Algebra Appl., May, 2023
Editorial: Tensor numerical methods and their application in scientific computing and data science.
Numer. Linear Algebra Appl., May, 2023
2022
Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients.
Numer. Linear Algebra Appl., 2022
Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing.
Frontiers Appl. Math. Stat., 2022
Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing.
CoRR, 2022
2021
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format.
SIAM J. Sci. Comput., 2021
Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints.
J. Comput. Phys., 2021
Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format.
CoRR, 2021
Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients.
CoRR, 2021
2020
Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements.
Numer. Linear Algebra Appl., 2020
Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse.
J. Comput. Phys., 2020
Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients.
CoRR, 2020
Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients.
CoRR, 2020
Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems.
CoRR, 2020
2019
Quantized CP approximation and sparse tensor interpolation of function-generated data.
Numer. Linear Algebra Appl., 2019
Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation.
J. Comput. Phys., 2019
Comput. Methods Appl. Math., 2019
Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation.
Comput. Methods Appl. Math., 2019
Comput. Methods Appl. Math., 2019
2018
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients.
Math. Comput. Simul., 2018
2017
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation.
J. Comput. Phys., 2017
Comput. Methods Appl. Math., 2017
Block Circulant and Toeplitz Structures in the Linearized Hartree-Fock Equation on Finite Lattices: Tensor Approach.
Comput. Methods Appl. Math., 2017
2016
SIAM J. Matrix Anal. Appl., 2016
Fast tensor method for summation of long-range potentials on 3D lattices with defects.
Numer. Linear Algebra Appl., 2016
Efficient Computation of Highly Oscillatory Integrals by Using QTT Tensor Approximation.
Comput. Methods Appl. Math., 2016
2015
Simultaneous state-time approximation of the chemical master equation using tensor product formats.
Numer. Linear Algebra Appl., 2015
Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format.
SIAM/ASA J. Uncertain. Quantification, 2015
2014
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation.
Comput. Phys. Commun., 2014
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals.
Comput. Phys. Commun., 2014
Computation of extreme eigenvalues in higher dimensions using block tensor train format.
Comput. Phys. Commun., 2014
Superfast Wavelet Transform Using Quantics-TT Approximation. I. Application to Haar Wavelets.
Comput. Methods Appl. Math., 2014
Proceedings of the Curves and Surfaces, 2014
2013
Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis.
SIAM J. Sci. Comput., 2013
Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity.
SIAM J. Sci. Comput., 2013
SIAM J. Matrix Anal. Appl., 2013
2012
Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker-Planck Equation.
SIAM J. Sci. Comput., 2012
SIAM J. Matrix Anal. Appl., 2012
Numer. Linear Algebra Appl., 2012
Comput. Phys. Commun., 2012
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels.
Comput. Phys. Commun., 2012
2011
SIAM J. Sci. Comput., 2011
Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format.
SIAM J. Sci. Comput., 2011
Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation.
Comput. Methods Appl. Math., 2011
QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations.
Comput. Methods Appl. Math., 2011
Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians.
Comput. Methods Appl. Math., 2011
2010
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension.
J. Comput. Appl. Math., 2010
Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs.
Comput. Methods Appl. Math., 2010
2009
Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays.
SIAM J. Sci. Comput., 2009
J. Comput. Phys., 2009
Computing, 2009
2008
Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions.
SIAM J. Matrix Anal. Appl., 2008
2007
Numerische Mathematik, 2007
Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation.
Math. Comput., 2007
J. Complex., 2007
Computing, 2007
2006
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators.
Computing, 2006
Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions.
Computing, 2006
2005
Math. Comput., 2005
Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems.
Computing, 2005
2004
Lecture Notes in Computational Science and Engineering 36, Springer, ISBN: 978-3-642-18777-3, 2004
Math. Comput., 2004
2003
J. Num. Math., 2003
Data-sparse elliptic operator inverse based on explicit approximation to the Green function.
J. Num. Math., 2003
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices.
Computing, 2003
2002
Numerische Mathematik, 2002
Numer. Linear Algebra Appl., 2002
2001
J. Num. Math., 2001
2000
Computing, 2000
1999
SIAM J. Sci. Comput., 1999
Numerische Mathematik, 1999
Numer. Linear Algebra Appl., 1999
1998
Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes.
Adv. Comput. Math., 1998
1996
On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition.
Numer. Linear Algebra Appl., 1996
1995
Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation.
Adv. Comput. Math., 1995