102 citations · 329 across the 25 of their papers we have counts for
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A fast iteration method for solving elliptic problems with quasiperiodic coefficients
Boris N. Khoromskij, Sergey I. Repin
The paper suggests a preconditioning type method for fast solving of elliptic equations with oscillating quasiperiodic coefficients specified by the small parameter . We…
A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
Peter Benner, Venera Khoromskaia, Boris N. Khoromskij
The Bethe-Salpeter equation (BSE) is a reliable model for estimating the absorption spectra in molecules and solids on the basis of accurate calculation of the excited states from…
Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
Venera Khoromskaia, Boris N. Khoromskij
We resume the recent successes of the grid-based tensor numerical methods and discuss their prospects in real-space electronic structure calculations. These methods, based on the l…
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 +1
We apply the Tensor Train (TT) decomposition to construct the tensor product Polynomial Chaos Expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with…