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Venera Khoromskaia
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2020 – today
- 2023
- [j24]Boris N. Khoromskij, Venera Khoromskaia:
Editorial: Tensor numerical methods and their application in scientific computing and data science. Numer. Linear Algebra Appl. 30(3) (2023) - [j23]Boris N. Khoromskij, Venera Khoromskaia:
Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners. Numer. Linear Algebra Appl. 30(3) (2023) - 2022
- [j22]Venera Khoromskaia, Boris N. Khoromskij:
Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing. Frontiers Appl. Math. Stat. 8: 826988 (2022) - [j21]Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia, Volker Schulz:
Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. Numer. Linear Algebra Appl. 29(1) (2022) - [i5]Venera Khoromskaia, Boris N. Khoromskij:
Reduced Higher Order SVD: ubiquitous rank-reduction method in tensor-based scientific computing. CoRR abs/2201.12663 (2022) - 2021
- [j20]Gennadij Heidel, Venera Khoromskaia, Boris N. Khoromskij, Volker Schulz:
Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. J. Comput. Phys. 424: 109865 (2021) - [j19]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Cleophas Kweyu, Matthias Stein:
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM J. Sci. Comput. 43(1): A415-A445 (2021) - [i4]Cleophas Kweyu, Venera Khoromskaia, Boris N. Khoromskij, Matthias Stein, Peter Benner:
Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format. CoRR abs/2109.14073 (2021) - 2020
- [j18]Venera Khoromskaia, Boris N. Khoromskij, Felix Otto:
Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements. Numer. Linear Algebra Appl. 27(3) (2020) - [i3]Venera Khoromskaia, Boris N. Khoromskij:
Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems. CoRR abs/2001.11393 (2020) - [i2]Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia, Volker Schulz:
Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients. CoRR abs/2006.09314 (2020) - [i1]Venera Khoromskaia, Boris N. Khoromskij:
Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients. CoRR abs/2007.06524 (2020)
2010 – 2019
- 2019
- [j17]Alexander Litvinenko, David E. Keyes, Venera Khoromskaia, Boris N. Khoromskij, Hermann G. Matthies:
Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Comput. Methods Appl. Math. 19(1): 101-122 (2019) - [j16]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij, Chao Yang:
Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. J. Comput. Phys. 382: 221-239 (2019) - 2018
- [j15]Peter Benner, Venera Khoromskaia, Boris N. Khoromskij:
Range-Separated Tensor Format for Many-Particle Modeling. SIAM J. Sci. Comput. 40(2) (2018) - 2017
- [j14]Venera Khoromskaia, Boris N. Khoromskij:
Block Circulant and Toeplitz Structures in the Linearized Hartree-Fock Equation on Finite Lattices: Tensor Approach. Comput. Methods Appl. Math. 17(3): 431 (2017) - [j13]Peter Benner, Sergey Dolgov, Venera Khoromskaia, Boris N. Khoromskij:
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. J. Comput. Phys. 334: 221-239 (2017) - 2016
- [j12]Venera Khoromskaia, Boris N. Khoromskij:
Fast tensor method for summation of long-range potentials on 3D lattices with defects. Numer. Linear Algebra Appl. 23(2): 249-271 (2016) - 2014
- [j11]Venera Khoromskaia:
Black-Box Hartree-Fock Solver by Tensor Numerical Methods. Comput. Methods Appl. Math. 14(1): 89-111 (2014) - [j10]Venera Khoromskaia, Boris N. Khoromskij:
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. Comput. Phys. Commun. 185(1): 2-10 (2014) - [j9]Venera Khoromskaia, Boris N. Khoromskij:
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation. Comput. Phys. Commun. 185(12): 3162-3174 (2014) - 2013
- [j8]Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider:
Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis. SIAM J. Sci. Comput. 35(2) (2013) - 2012
- [j7]Venera Khoromskaia, Dirk Andrae, Boris N. Khoromskij:
Fast and accurate 3D tensor calculation of the Fock operator in a general basis. Comput. Phys. Commun. 183(11): 2392-2404 (2012) - [j6]T. Blesgen, Vikram Gavini, Venera Khoromskaia:
Approximation of the electron density of Aluminium clusters in tensor-product format. J. Comput. Phys. 231(6): 2551-2564 (2012) - 2011
- [j5]Venera Khoromskaia, Boris N. Khoromskij, Reinhold Schneider:
QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations. Comput. Methods Appl. Math. 11(3): 327-341 (2011) - [j4]Boris N. Khoromskij, Venera Khoromskaia, Heinz-Jürgen Flad:
Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format. SIAM J. Sci. Comput. 33(1): 45-65 (2011) - 2010
- [j3]Venera Khoromskaia:
Computation of the Hartree-Fock Exchange by the Tensor-Structured Methods. Comput. Methods Appl. Math. 10(2): 204-218 (2010)
2000 – 2009
- 2009
- [j2]Boris N. Khoromskij, Venera Khoromskaia, Sambasiva Rao Chinnamsetty, Heinz-Jürgen Flad:
Tensor decomposition in electronic structure calculations on 3D Cartesian grids. J. Comput. Phys. 228(16): 5749-5762 (2009) - [j1]Boris N. Khoromskij, Venera Khoromskaia:
Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays. SIAM J. Sci. Comput. 31(4): 3002-3026 (2009)
Coauthor Index
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