Publications of Venera Khoromskaia

Journal Article

Khoromskaia, V. & Khoromskij, B. (2021)Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle SystemsComputational Mathematics and Mathematical Physics, 61 (5), 864–886doi: 10.1134/S0965542521050110.

MPG.PuRe

2020

Journal Article

Khoromskaia, V., Khoromskij, B., & Otto, F. (2020)Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume ElementsNumerical Linear Algebra with Applications, 27 (3), e2296, 23 pagesdoi: 10.1002/nla.2296.

MPG.PuRe

2019

Journal Article

Benner, P., Khoromskaia, V., Khoromskij, B. N., & Yang, C. (2019)Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor ApproximationJournal of Computational Physics, 382, 221–239doi: 10.1016/j.jcp.2019.01.011.

MPG.PuRe

post-print

Journal Article

Litvinenko, A., Keyes, D., Khoromskaia, V., Khoromskij, B. N., & Matthies, H. G. (2019)Tucker Tensor Analysis of Matérn Functions in Spatial StatisticsComputational Methods in Applied Mathematics, 19 (1), 101–122doi: 10.1515/cmam-2018-0022.

MPG.PuRe

2018

Journal Article

Benner, P., Khoromskaia, V., & Khoromskij, B. N. (2018)Range-Separated Tensor Format for Many-Particle ModelingSIAM Journal on Scientific Computing, 40 (2), A1034–A1062doi: 10.1137/16M1098930.

MPG.PuRe

2017

Journal Article

Benner, P., Dolgov, S., Khoromskaia, V., & Khoromskij, B. N. (2017)Fast Iterative Solution of the Bethe–Salpeter Eigenvalue Problem Using Low-Rank and QTT Tensor ApproximationJournal of Computational Physics, 334, 221–239doi: 10.1016/j.jcp.2016.12.047.

MPG.PuRe

post-print

Journal Article

Khoromskaia, V. & Khoromskij, B. N. (2017)Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor ApproachComputational Methods in Applied Mathematics, 17 (3), 431–455doi: 10.1515/cmam-2017-0004.

MPG.PuRe

2016

Journal Article

Benner, P., Khoromskaia, V., & Khoromskij, B. N. (2016)A Reduced Basis Approach for Calculation of the Bethe-Salpeter Excitation Energies by using Low-Rank Tensor FactorisationsMolecular Physics, 114 (7-8), 1148–1161doi: 10.1080/00268976.2016.1149241.

MPG.PuRe

2015

Journal Article

Khoromskaia, V. & Khoromskij, B. N. (2015)Tensor numerical methods in quantum chemistry: from Hartree–Fock to excitation energiesPhysical Chemistry Chemical Physics, 17 (47), 31491–31509doi: 10.1039/C5CP01215E .

MPG.PuRe

Preprint (1)

2021

Preprint

Kweyu, C. M., Khoromskaia, V., Khoromskij, B., Stein, M., & Benner, P. (in press)Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format.

MPG.PuRe