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Sergey Dolgov
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Year
Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
2952014
Solution of linear systems and matrix inversion in the TT-format
S Dolgov, IV Oseledets
SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011
210*2011
FAST SOLUTION OF PARABOLIC PROBLEMS IN THE TENSOR TRAIN/QUANTIZED TENSOR TRAIN FORMAT WITH INITIAL APPLICATION TO THE FOKKER–PLANCK EQUATION
SV DOLGOV, BN KHOROMSKIJ, IV OSELEDETS
SIAM J. of Sci. Comp. 34 (6), A3016-A3038, 2012
140*2012
Computation of extreme eigenvalues in higher dimensions using block tensor train format
SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov
Computer Physics Communications, 2014
1152014
Simultaneous state‐time approximation of the chemical master equation using tensor product formats
S Dolgov, B Khoromskij
Numerical Linear Algebra with Applications 22 (2), 197-219, 2015
103*2015
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format
S Dolgov, BN Khoromskij, A Litvinenko, HG Matthies
SIAM/ASA Journal on Uncertainty Quantification 3 (1), 1109-1135, 2015
97*2015
Superfast Fourier transform using QTT approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011
85*2011
TT-GMRES: solution to a linear system in the structured tensor format
SV Dolgov
Russian Journal of Numerical Analysis and Mathematical Modelling 28 (2), 149-172, 2013
842013
TT-toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
73*2016
Two-level QTT-Tucker format for optimized tensor calculus
S Dolgov, B Khoromskij
SIAM Journal on Matrix Analysis and Applications 34 (2), 593-623, 2013
69*2013
Tensor decomposition methods for high-dimensional Hamilton--Jacobi--Bellman equations
S Dolgov, D Kalise, KK Kunisch
SIAM Journal on Scientific Computing 43 (3), A1625-A1650, 2021
652021
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
P Benner, S Dolgov, A Onwunta, M Stoll
632015
Approximation and sampling of multivariate probability distributions in the tensor train decomposition
S Dolgov, K Anaya-Izquierdo, C Fox, R Scheichl
Statistics and Computing 30, 603-625, 2020
612020
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
432014
Exact NMR simulation of protein-size spin systems using tensor train formalism
DV Savostyanov, SV Dolgov, JM Werner, I Kuprov
Physical Review B 90 (8), 085139, 2014
412014
A Hybrid Alternating Least Squares--TT-Cross Algorithm for Parametric PDEs
S Dolgov, R Scheichl
SIAM/ASA Journal on Uncertainty Quantification 7 (1), 260-291, 2019
372019
Parallel cross interpolation for high-precision calculation of high-dimensional integrals
S Dolgov, D Savostyanov
Computer Physics Communications 246, 106869, 2020
332020
A quantum-inspired approach to exploit turbulence structures
N Gourianov, M Lubasch, S Dolgov, QY van den Berg, H Babaee, P Givi, ...
Nature Computational Science 2 (1), 30-37, 2022
302022
Parallel time-dependent variational principle algorithm for matrix product states
P Secular, N Gourianov, M Lubasch, S Dolgov, SR Clark, D Jaksch
Physical Review B 101 (23), 235123, 2020
272020
A tensor decomposition algorithm for large ODEs with conservation laws
SV Dolgov
Computational Methods in Applied Mathematics 19 (1), 23-38, 2019
262019
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