Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation. - Boris N. Khoromskij; Siegfried Prössdorf (Adv. Comput. Math., 1995)

On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition. - Boris N. Khoromskij (Numer. Linear Algebra Appl., 1996)

Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes. - Boris N. Khoromskij; Siegfried Prössdorf (Adv. Comput. Math., 1998)

Robust Schur complement method for strongly anisotropic elliptic equations. - Boris N. Khoromskij; Gabriel Wittum (Numer. Linear Algebra Appl., 1999)

An asymptotically optimal Schur complement reduction for the Stokes equation. - Boris N. Khoromskij; Gabriel Wittum (Numerische Mathematik, 1999)

Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers. - Boris N. Khoromskij; G. E. Mazurkevich; Gabriel Wittum (SIAM J. Sci. Comput., 1999)

A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2000)

ℋ-matrix approximation for elliptic solution operators in cylinder domains. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (J. Num. Math., 2001)

An Efficient Direct Solver for the Boundary Concentrated FEM in 2D. - Boris N. Khoromskij; Jens Markus Melenk (Computing, 2002)

Blended kernel approximation in the ℋ-matrix techniques. - Wolfgang Hackbusch; Boris N. Khoromskij (Numer. Linear Algebra Appl., 2002)

ℋ-Matrix approximation for the operator exponential with applications. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Numerische Mathematik, 2002)

Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices. - Lars Grasedyck; Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2003)

Data-sparse elliptic operator inverse based on explicit approximation to the Green function. - Boris N. Khoromskij (J. Num. Math., 2003)

Hierarchical matrix approximation to Green's function via boundary concentrated FEM. - Boris N. Khoromskij (J. Num. Math., 2003)

Boundary Concentrated Finite Element Methods. - Boris N. Khoromskij; Jens Markus Melenk (SIAM J. Numer. Anal., 2003)

Hierarchical Matrices Based on a Weak Admissibility Criterion. - Wolfgang Hackbusch; Boris N. Khoromskij; Ronald Kriemann (Computing, 2004)

Data-sparse approximation to the operator-valued functions of elliptic operator. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2004)

Numerical Solution of Elliptic Differential Equations by Reduction to the Interface. - Boris N. Khoromskij; Gabriel Wittum (Springer, 2004)

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2005)

Hierarchical Kronecker tensor-product approximations. - Wolfgang Hackbusch; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (J. Num. Math., 2005)

Data-sparse approximation to a class of operator-valued functions. - Ivan P. Gavrilyuk; Wolfgang Hackbusch; Boris N. Khoromskij (Math. Comput., 2005)

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2006)

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators. - Wolfgang Hackbusch; Boris N. Khoromskij (Computing, 2006)

A structured low-rank wavelet solver for the Ornstein-Zernike integral equation. - Maxim V. Fedorov; Heinz-Jürgen Flad; Gennady N. Chuev; Lars Grasedyck; Boris N. Khoromskij (Computing, 2007)

Tensor-product approximation to operators and functions in high dimensions. - Wolfgang Hackbusch; Boris N. Khoromskij (J. Complex., 2007)

Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation. - Boris N. Khoromskij (Math. Comput., 2007)

Adaptive Galerkin boundary element methods with panel clustering. - Wolfgang Hackbusch; Boris N. Khoromskij; Stefan A. Sauter (Numerische Mathematik, 2007)

Approximate iterations for structured matrices. - Wolfgang Hackbusch; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (Numerische Mathematik, 2008)

Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions. - Wolfgang Hackbusch; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2008)

Application of hierarchical matrices for computing the Karhunen-Loève expansion. - Boris N. Khoromskij; Alexander Litvinenko; Hermann G. Matthies (Computing, 2009)

Tensor decomposition in electronic structure calculations on 3D Cartesian grids. - Boris N. Khoromskij; Venera Khoromskaia; Sambasiva Rao Chinnamsetty; Heinz-Jürgen Flad (J. Comput. Phys., 2009)

Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays. - Boris N. Khoromskij; Venera Khoromskaia (SIAM J. Sci. Comput., 2009)

Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs. - Boris N. Khoromskij; Ivan V. Oseledets (Comput. Methods Appl. Math., 2010)

Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. - Boris N. Khoromskij (J. Comput. Appl. Math., 2010)

Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2011)

Preface to the special issue, CMAM 2011, no. 3. - Ivan P. Gavrilyuk; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (Comput. Methods Appl. Math., 2011)

QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. - Venera Khoromskaia; Boris N. Khoromskij; Reinhold Schneider (Comput. Methods Appl. Math., 2011)

Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation. - Boris N. Khoromskij; Stefan A. Sauter; Alexander Veit (Comput. Methods Appl. Math., 2011)

Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format. - Boris N. Khoromskij; Venera Khoromskaia; Heinz-Jürgen Flad (SIAM J. Sci. Comput., 2011)

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs. - Boris N. Khoromskij; Christoph Schwab (SIAM J. Sci. Comput., 2011)

Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels. - Cristóbal Bertoglio; Boris N. Khoromskij (Comput. Phys. Commun., 2012)

Fast and accurate 3D tensor calculation of the Fock operator in a general basis. - Venera Khoromskaia; Dirk Andrae; Boris N. Khoromskij (Comput. Phys. Commun., 2012)

Use of tensor formats in elliptic eigenvalue problems. - Wolfgang Hackbusch; Boris N. Khoromskij; Stefan A. Sauter; Eugene E. Tyrtyshnikov (Numer. Linear Algebra Appl., 2012)

Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse. - Vladimir A. Kazeev; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2012)

Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker-Planck Equation. - Sergey V. Dolgov; Boris N. Khoromskij; Ivan V. Oseledets (SIAM J. Sci. Comput., 2012)

Two-Level QTT-Tucker Format for Optimized Tensor Calculus. - Sergey Dolgov; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2013)

Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. - Vladimir A. Kazeev; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (SIAM J. Sci. Comput., 2013)

Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. - Venera Khoromskaia; Boris N. Khoromskij; Reinhold Schneider (SIAM J. Sci. Comput., 2013)

Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation. - Angelos Mantzaflaris; Bert Jüttler; Boris N. Khoromskij; Ulrich Langer (Curves and Surfaces, 2014)

Superfast Wavelet Transform Using Quantics-TT Approximation. I. Application to Haar Wavelets. - Boris N. Khoromskij; Sentao Miao (Comput. Methods Appl. Math., 2014)

Computation of extreme eigenvalues in higher dimensions using block tensor train format. - Sergey V. Dolgov; Boris N. Khoromskij; Ivan V. Oseledets; Dmitry V. Savostyanov (Comput. Phys. Commun., 2014)

Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. - Venera Khoromskaia; Boris N. Khoromskij (Comput. Phys. Commun., 2014)

Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation. - Venera Khoromskaia; Boris N. Khoromskij (Comput. Phys. Commun., 2014)

Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format. - Sergey Dolgov; Boris N. Khoromskij; Alexander Litvinenko; Hermann G. Matthies (SIAM/ASA J. Uncertain. Quantification, 2015)

Simultaneous state-time approximation of the chemical master equation using tensor product formats. - Sergey Dolgov; Boris N. Khoromskij (Numer. Linear Algebra Appl., 2015)

Efficient Computation of Highly Oscillatory Integrals by Using QTT Tensor Approximation. - Boris N. Khoromskij; Alexander Veit (Comput. Methods Appl. Math., 2016)

Fast tensor method for summation of long-range potentials on 3D lattices with defects. - Venera Khoromskaia; Boris N. Khoromskij (Numer. Linear Algebra Appl., 2016)

Erratum: Two-Level QTT-Tucker Format for Optimized Tensor Calculus. - Simon Etter; Sergey Dolgov; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2016)

Block Circulant and Toeplitz Structures in the Linearized Hartree-Fock Equation on Finite Lattices: Tensor Approach. - Venera Khoromskaia; Boris N. Khoromskij (Comput. Methods Appl. Math., 2017)

Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems. - Boris N. Khoromskij; Sergey I. Repin (Comput. Methods Appl. Math., 2017)

Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. - Peter Benner; Sergey Dolgov; Venera Khoromskaia; Boris N. Khoromskij (J. Comput. Phys., 2017)

Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. - Sergey Dolgov; Vladimir A. Kazeev; Boris N. Khoromskij (Math. Comput. Simul., 2018)

Range-Separated Tensor Format for Many-Particle Modeling. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij (SIAM J. Sci. Comput., 2018)

Tensor Numerical Methods: Actual Theory and Recent Applications. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2019)

Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation. - Ivan P. Gavrilyuk; Boris N. Khoromskij (Comput. Methods Appl. Math., 2019)

Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. - Alexander Litvinenko; David E. Keyes; Venera Khoromskaia; Boris N. Khoromskij; Hermann G. Matthies (Comput. Methods Appl. Math., 2019)

Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij; Chao Yang (J. Comput. Phys., 2019)

Quantized CP approximation and sparse tensor interpolation of function-generated data. - Boris N. Khoromskij; Kishore Kumar Naraparaju; Jan Schneider 003 (Numer. Linear Algebra Appl., 2019)

Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems. - Venera Khoromskaia; Boris N. Khoromskij (CoRR, 2020)

Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients. - Britta Schmitt; Boris N. Khoromskij; Venera Khoromskaia; Volker Schulz 001 (CoRR, 2020)

Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients. - Venera Khoromskaia; Boris N. Khoromskij (CoRR, 2020)

Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. - Boris N. Khoromskij (J. Comput. Phys., 2020)

Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements. - Venera Khoromskaia; Boris N. Khoromskij; Felix Otto (Numer. Linear Algebra Appl., 2020)

Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients. - Boris N. Khoromskij; Britta Schmitt; Volker Schulz 001 (CoRR, 2021)

Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. - Gennadij Heidel; Venera Khoromskaia; Boris N. Khoromskij; Volker Schulz 001 (J. Comput. Phys., 2021)

Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. - Peter Benner; Venera Khoromskaia; Boris N. Khoromskij; Cleophas Kweyu; Matthias Stein (SIAM J. Sci. Comput., 2021)

Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing. - Venera Khoromskaia; Boris N. Khoromskij (CoRR, 2022)

Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing. - Venera Khoromskaia; Boris N. Khoromskij (Frontiers Appl. Math. Stat., 2022)

Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. - Britta Schmitt; Boris N. Khoromskij; Venera Khoromskaia; Volker Schulz 001 (Numer. Linear Algebra Appl., 2022)

Editorial: Tensor numerical methods and their application in scientific computing and data science. - Boris N. Khoromskij; Venera Khoromskaia (Numer. Linear Algebra Appl., 2023)

Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners. - Boris N. Khoromskij; Venera Khoromskaia (Numer. Linear Algebra Appl., 2023)

Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation Using the Range-Separated Tensor Format. - Cleophas Kweyu; Venera Khoromskaia; Boris N. Khoromskij; Matthias Stein; Peter Benner (SIAM J. Sci. Comput., 2025)

A mesh-free hybrid Chebyshev-Tucker tensor format with applications to multi-particle modelling. - Peter Benner; Boris N. Khoromskij; Venera Khoromskaia; Bonan Sun (CoRR, 2025)