Publications of Venera Khoromskaia

Journal Article (10)

2021
Journal Article
Benner, P.; Khoromskaia, V.; Khoromskij, B.; Kweyu, C. M.; Stein, M.: Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing 43 (1), pp. A415 - A445 (2021)
Journal Article
Khoromskaia, V.; Khoromskij, B.: Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems. Computational Mathematics and Mathematical Physics 61 (5), pp. 864 - 886 (2021)
2020
Journal Article
Khoromskaia, V.; Khoromskij, B.; Otto, F.: Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 27 (3), e2296, 23 pages (2020)
2019
Journal Article
Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 382, pp. 221 - 239 (2019)
Journal Article
Litvinenko, A.; Keyes, D.; Khoromskaia, V.; Khoromskij, B. N.; Matthies, H. G.: Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Computational Methods in Applied Mathematics 19 (1), pp. 101 - 122 (2019)
2018
Journal Article
Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: Range-Separated Tensor Format for Many-Particle Modeling. SIAM Journal on Scientific Computing 40 (2), pp. A1034 - A1062 (2018)
2017
Journal Article
Benner, P.; Dolgov, S.; Khoromskaia, V.; Khoromskij, B. N.: Fast Iterative Solution of the Bethe–Salpeter Eigenvalue Problem Using Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 334, pp. 221 - 239 (2017)
Journal Article
Khoromskaia, V.; Khoromskij, B. N.: Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach. Computational Methods in Applied Mathematics 17 (3), pp. 431 - 455 (2017)
2016
Journal Article
Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: A Reduced Basis Approach for Calculation of the Bethe-Salpeter Excitation Energies by using Low-Rank Tensor Factorisations. Molecular Physics 114 (7-8), pp. 1148 - 1161 (2016)
2015
Journal Article
Khoromskaia, V.; Khoromskij, B. N.: Tensor numerical methods in quantum chemistry: from Hartree–Fock to excitation energies. Physical Chemistry Chemical Physics 17 (47), pp. 31491 - 31509 (2015)

Working Paper (1)

2021
Working Paper
Kweyu, C. M.; Khoromskaia, V.; Khoromskij, B.; Stein, M.; Benner, P.: Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. (2021)
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