257 citations · 1.1k across the 33 of their papers we have counts for
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Simultaneous state-time approximation of the chemical master equation using tensor product formats
Sergey Dolgov, Boris Khoromskij
We study the application of the novel tensor formats (TT, QTT, QTT-Tucker) to the solution of -dimensional chemical master equations, applied mostly to gene regulating networks…
Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma
S. V. Dolgov, A. P. Smirnov, E. E. Tyrtyshnikov
We consider the numerical modeling of the Farley-Buneman instability development in the earth's ionosphere plasma. The ion behavior is governed by the kinetic Landau equation in th…
Computation of extreme eigenvalues in higher dimensions using block tensor train format
Sergey V. Dolgov, Boris N. Khoromskij, Ivan V. Oseledets +1
We consider an approximate computation of several minimal eigenpairs of large Hermitian matrices which come from high--dimensional problems. We use the tensor train format (TT) for…
Alternating minimal energy methods for linear systems in higher dimensions. Part II: Faster algorithm and application to nonsymmetric systems
Sergey V. Dolgov, Dmitry V. Savostyanov
In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6…
Alternating minimal energy methods for linear systems in higher dimensions. Part I: SPD systems
Sergey V. Dolgov, Dmitry V. Savostyanov
We introduce a family of numerical algorithms for the solution of linear system in higher dimensions with the matrix and right hand side given and the solution sought in the tensor…