Boris N. Khoromskij

85 papers Journal 83Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A mesh-free hybrid Chebyshev-Tucker tensor format with applications to multi-particle modelling. CoRR Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, Bonan Sun
2025	J	`jnl`	Fast tensor-based electrostatic energy calculations in the perspective of protein-ligand docking problem. CoRR Peter Benner, Boris N. Khoromskij, Venera Khoromskaia, Matthias Stein
2025	J	`jnl`	Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner
2023	J	`jnl`	Editorial: Tensor numerical methods and their application in scientific computing and data science. Numer. Linear Algebra Appl. Boris N. Khoromskij, Venera Khoromskaia
2023	J	`jnl`	Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners. Numer. Linear Algebra Appl. Boris N. Khoromskij, Venera Khoromskaia
2022	J	`jnl`	Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing. CoRR Venera Khoromskaia, Boris N. Khoromskij
2022	J	`jnl`	Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. Numer. Linear Algebra Appl. Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia, Volker Schulz
2022	J	`jnl`	Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing. Frontiers Appl. Math. Stat. Venera Khoromskaia, Boris N. Khoromskij
2021	J	`jnl`	Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Cleophas Kweyu, Matthias Stein
2021	J	`jnl`	Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format. CoRR Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner
2021	J	`jnl`	Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients. CoRR Boris N. Khoromskij, Britta Schmitt, Volker Schulz
2021	J	`jnl`	Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. J. Comput. Phys. Gennadij Heidel, Venera Khoromskaia, Boris N. Khoromskij, Volker Schulz
2020	J	`jnl`	Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements. Numer. Linear Algebra Appl. Venera Khoromskaia, Boris N. Khoromskij, Felix Otto
2020	J	`jnl`	Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems. CoRR Venera Khoromskaia, Boris N. Khoromskij
2020	J	`jnl`	Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. J. Comput. Phys. Boris N. Khoromskij
2020	J	`jnl`	Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients. CoRR Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia, Volker Schulz
2020	J	`jnl`	Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients. CoRR Venera Khoromskaia, Boris N. Khoromskij
2019	J	`jnl`	Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. J. Comput. Phys. Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Chao Yang
2019	J	`jnl`	Quantized CP approximation and sparse tensor interpolation of function-generated data. Numer. Linear Algebra Appl. Boris N. Khoromskij, Kishore Kumar Naraparaju, Jan Schneider
2019	J	`jnl`	Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2019	J	`jnl`	Tensor Numerical Methods: Actual Theory and Recent Applications. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2019	J	`jnl`	Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Comput. Methods Appl. Math. Alexander Litvinenko, David E. Keyes, Venera Khoromskaia, Boris N. Khoromskij, Hermann G. Matthies
2018	J	`jnl`	Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. Math. Comput. Simul. Sergey Dolgov, Vladimir A. Kazeev, Boris N. Khoromskij
2018	J	`jnl`	Range-Separated Tensor Format for Many-Particle Modeling. SIAM J. Sci. Comput. Peter Benner, Venera Khoromskaia, Boris N. Khoromskij
2017	J	`jnl`	Block Circulant and Toeplitz Structures in the Linearized Hartree-Fock Equation on Finite Lattices: Tensor Approach. Comput. Methods Appl. Math. Venera Khoromskaia, Boris N. Khoromskij
2017	J	`jnl`	Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. J. Comput. Phys. Peter Benner, Sergey Dolgov, Venera Khoromskaia, Boris N. Khoromskij
2017	J	`jnl`	Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems. Comput. Methods Appl. Math. Boris N. Khoromskij, Sergey I. Repin
2016	J	`jnl`	Efficient Computation of Highly Oscillatory Integrals by Using QTT Tensor Approximation. Comput. Methods Appl. Math. Boris N. Khoromskij, Alexander Veit
2016	J	`jnl`	Erratum: Two-Level QTT-Tucker Format for Optimized Tensor Calculus. SIAM J. Matrix Anal. Appl. Simon Etter, Sergey Dolgov, Boris N. Khoromskij
2016	J	`jnl`	Fast tensor method for summation of long-range potentials on 3D lattices with defects. Numer. Linear Algebra Appl. Venera Khoromskaia, Boris N. Khoromskij
2015	J	`jnl`	Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format. SIAM/ASA J. Uncertain. Quantification Sergey Dolgov, Boris N. Khoromskij, Alexander Litvinenko, Hermann G. Matthies
2015	J	`jnl`	Simultaneous state-time approximation of the chemical master equation using tensor product formats. Numer. Linear Algebra Appl. Sergey Dolgov, Boris N. Khoromskij
2014	J	`jnl`	Computation of extreme eigenvalues in higher dimensions using block tensor train format. Comput. Phys. Commun. Sergey V. Dolgov, Boris N. Khoromskij, Ivan V. Oseledets, Dmitry V. Savostyanov
2014	J	`jnl`	Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation. Comput. Phys. Commun. Venera Khoromskaia, Boris N. Khoromskij
2014	—	`conf`	Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation. Curves and Surfaces Angelos Mantzaflaris, Bert Jüttler, Boris N. Khoromskij, Ulrich Langer
2014	J	`jnl`	Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. Comput. Phys. Commun. Venera Khoromskaia, Boris N. Khoromskij
2014	J	`jnl`	Superfast Wavelet Transform Using Quantics-TT Approximation. I. Application to Haar Wavelets. Comput. Methods Appl. Math. Boris N. Khoromskij, Sentao Miao
2013	J	`jnl`	Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. SIAM J. Sci. Comput. Vladimir A. Kazeev, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2013	J	`jnl`	Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. SIAM J. Sci. Comput. Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider
2013	J	`jnl`	Two-Level QTT-Tucker Format for Optimized Tensor Calculus. SIAM J. Matrix Anal. Appl. Sergey Dolgov, Boris N. Khoromskij
2012	J	`jnl`	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. Sergey V. Dolgov, Boris N. Khoromskij, Ivan V. Oseledets
2012	J	`jnl`	Fast and accurate 3D tensor calculation of the Fock operator in a general basis. Comput. Phys. Commun. Venera Khoromskaia, Dirk Andrae, Boris N. Khoromskij
2012	J	`jnl`	Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse. SIAM J. Matrix Anal. Appl. Vladimir A. Kazeev, Boris N. Khoromskij
2012	J	`jnl`	Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels. Comput. Phys. Commun. Cristóbal Bertoglio, Boris N. Khoromskij
2012	J	`jnl`	Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov
2011	J	`jnl`	Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation. Comput. Methods Appl. Math. Boris N. Khoromskij, Stefan A. Sauter, Alexander Veit
2011	J	`jnl`	Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format. SIAM J. Sci. Comput. Boris N. Khoromskij, Venera Khoromskaia, Heinz-Jürgen Flad
2011	J	`jnl`	Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2011	J	`jnl`	QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. Comput. Methods Appl. Math. Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider
2011	J	`jnl`	Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij
2011	J	`jnl`	Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs. SIAM J. Sci. Comput. Boris N. Khoromskij, Christoph Schwab
2010	J	`jnl`	Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. J. Comput. Appl. Math. Boris N. Khoromskij
2010	J	`jnl`	Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs. Comput. Methods Appl. Math. Boris N. Khoromskij, Ivan V. Oseledets
2009	J	`jnl`	Application of hierarchical matrices for computing the Karhunen-Loève expansion. Computing Boris N. Khoromskij, Alexander Litvinenko, Hermann G. Matthies
2009	J	`jnl`	Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays. SIAM J. Sci. Comput. Boris N. Khoromskij, Venera Khoromskaia
2009	J	`jnl`	Tensor decomposition in electronic structure calculations on 3D Cartesian grids. J. Comput. Phys. Boris N. Khoromskij, Venera Khoromskaia, Sambasiva Rao Chinnamsetty, Heinz-Jürgen Flad
2008	J	`jnl`	Approximate iterations for structured matrices. Numerische Mathematik Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2008	J	`jnl`	Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions. SIAM J. Matrix Anal. Appl. Wolfgang Hackbusch, Boris N. Khoromskij
2007	J	`jnl`	A structured low-rank wavelet solver for the Ornstein-Zernike integral equation. Computing Maxim V. Fedorov, Heinz-Jürgen Flad, Gennady N. Chuev, Lars Grasedyck, Boris N. Khoromskij
2007	J	`jnl`	Adaptive Galerkin boundary element methods with panel clustering. Numerische Mathematik Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter
2007	J	`jnl`	Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation. Math. Comput. Boris N. Khoromskij
2007	J	`jnl`	Tensor-product approximation to operators and functions in high dimensions. J. Complex. Wolfgang Hackbusch, Boris N. Khoromskij
2006	J	`jnl`	Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions. Computing Wolfgang Hackbusch, Boris N. Khoromskij
2006	J	`jnl`	Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators. Computing Wolfgang Hackbusch, Boris N. Khoromskij
2005	J	`jnl`	Data-sparse approximation to a class of operator-valued functions. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2005	J	`jnl`	Hierarchical Kronecker tensor-product approximations. J. Num. Math. Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2005	J	`jnl`	Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. Computing Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2004	J	`jnl`	Data-sparse approximation to the operator-valued functions of elliptic operator. Math. Comput. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2004	J	`jnl`	Hierarchical Matrices Based on a Weak Admissibility Criterion. Computing Wolfgang Hackbusch, Boris N. Khoromskij, Ronald Kriemann
2004	—	`book`	Numerical Solution of Elliptic Differential Equations by Reduction to the Interface. Boris N. Khoromskij, Gabriel Wittum
2003	J	`jnl`	Boundary Concentrated Finite Element Methods. SIAM J. Numer. Anal. Boris N. Khoromskij, Jens Markus Melenk
2003	J	`jnl`	Data-sparse elliptic operator inverse based on explicit approximation to the Green function. J. Num. Math. Boris N. Khoromskij
2003	J	`jnl`	Hierarchical matrix approximation to Green's function via boundary concentrated FEM. J. Num. Math. Boris N. Khoromskij
2003	J	`jnl`	Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices. Computing Lars Grasedyck, Wolfgang Hackbusch, Boris N. Khoromskij
2002	J	`jnl`	An Efficient Direct Solver for the Boundary Concentrated FEM in 2D. Computing Boris N. Khoromskij, Jens Markus Melenk
2002	J	`jnl`	Blended kernel approximation in the ℋ-matrix techniques. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Boris N. Khoromskij
2002	J	`jnl`	ℋ-Matrix approximation for the operator exponential with applications. Numerische Mathematik Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2001	J	`jnl`	ℋ-matrix approximation for elliptic solution operators in cylinder domains. J. Num. Math. Ivan P. Gavrilyuk, Wolfgang Hackbusch, Boris N. Khoromskij
2000	J	`jnl`	A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. Computing Wolfgang Hackbusch, Boris N. Khoromskij
1999	J	`jnl`	An asymptotically optimal Schur complement reduction for the Stokes equation. Numerische Mathematik Boris N. Khoromskij, Gabriel Wittum
1999	J	`jnl`	Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers. SIAM J. Sci. Comput. Boris N. Khoromskij, G. E. Mazurkevich, Gabriel Wittum
1999	J	`jnl`	Robust Schur complement method for strongly anisotropic elliptic equations. Numer. Linear Algebra Appl. Boris N. Khoromskij, Gabriel Wittum
1998	J	`jnl`	Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes. Adv. Comput. Math. Boris N. Khoromskij, Siegfried Prössdorf
1996	J	`jnl`	On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition. Numer. Linear Algebra Appl. Boris N. Khoromskij
1995	J	`jnl`	Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation. Adv. Comput. Math. Boris N. Khoromskij, Siegfried Prössdorf