Boris N. Khoromskij

According to our database1, Boris N. Khoromskij authored at least 75 papers between 1995 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 




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

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

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

Tucker Tensor Analysis of Matérn Functions in Spatial Statistics.
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

Tensor Numerical Methods: Actual Theory and Recent Applications.
Comput. Methods Appl. Math., 2019

Range-Separated Tensor Format for Many-Particle Modeling.
SIAM J. Sci. Comput., 2018

Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients.
Math. Comput. Simul., 2018

Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation.
J. Comput. Phys., 2017

Rank Structured Approximation Method for Quasi-Periodic Elliptic Problems.
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

Erratum: Two-Level QTT-Tucker Format for Optimized Tensor Calculus.
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

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

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

Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation.
Proceedings of the Curves and Surfaces, 2014

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

Two-Level QTT-Tucker Format for Optimized Tensor Calculus.
SIAM J. Matrix Anal. Appl., 2013

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

Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse.
SIAM J. Matrix Anal. Appl., 2012

Use of tensor formats in elliptic eigenvalue problems.
Numer. Linear Algebra Appl., 2012

Fast and accurate 3D tensor calculation of the Fock operator in a general basis.
Comput. Phys. Commun., 2012

Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels.
Comput. Phys. Commun., 2012

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs.
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

Preface to the special issue, CMAM 2011, no. 3.
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

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

Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays.
SIAM J. Sci. Comput., 2009

Tensor decomposition in electronic structure calculations on 3D Cartesian grids.
J. Comput. Phys., 2009

Application of hierarchical matrices for computing the Karhunen-Loève expansion.
Computing, 2009

Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions.
SIAM J. Matrix Anal. Appl., 2008

Approximate iterations for structured matrices.
Numerische Mathematik, 2008

Adaptive Galerkin boundary element methods with panel clustering.
Numerische Mathematik, 2007

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

Tensor-product approximation to operators and functions in high dimensions.
J. Complex., 2007

A structured low-rank wavelet solver for the Ornstein-Zernike integral equation.
Computing, 2007

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

Data-sparse approximation to a class of operator-valued functions.
Math. Comput., 2005

Hierarchical Kronecker tensor-product approximations.
J. Num. Math., 2005

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems.
Computing, 2005

Numerical Solution of Elliptic Differential Equations by Reduction to the Interface.
Lecture Notes in Computational Science and Engineering 36, Springer, ISBN: 978-3-642-18777-3, 2004

Data-sparse approximation to the operator-valued functions of elliptic operator.
Math. Comput., 2004

Hierarchical Matrices Based on a Weak Admissibility Criterion.
Computing, 2004

Boundary Concentrated Finite Element Methods.
SIAM J. Numer. Anal., 2003

Hierarchical matrix approximation to Green's function via boundary concentrated FEM.
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

ℋ-Matrix approximation for the operator exponential with applications.
Numerische Mathematik, 2002

Blended kernel approximation in the ℋ-matrix techniques.
Numer. Linear Algebra Appl., 2002

An Efficient Direct Solver for the Boundary Concentrated FEM in 2D.
Computing, 2002

ℋ-matrix approximation for elliptic solution operators in cylinder domains.
J. Num. Math., 2001

A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems.
Computing, 2000

Frequency Filtering for Elliptic Interface Problems with Lagrange Multipliers.
SIAM J. Sci. Comput., 1999

An asymptotically optimal Schur complement reduction for the Stokes equation.
Numerische Mathematik, 1999

Robust Schur complement method for strongly anisotropic elliptic equations.
Numer. Linear Algebra Appl., 1999

Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes.
Adv. Comput. Math., 1998

On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition.
Numer. Linear Algebra Appl., 1996

Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation.
Adv. Comput. Math., 1995