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Sergey Dolgov
标题
引用次数
引用次数
年份
Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
3072014
Solution of linear systems and matrix inversion in the TT-format
S Dolgov, IV Oseledets
SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011
222*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
149*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
1242014
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
108*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
105*2015
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
922013
Superfast Fourier transform using QTT approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011
90*2011
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
862021
TT-toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
80*2016
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
722020
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
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
P Benner, S Dolgov, A Onwunta, M Stoll
632015
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
492022
Parallel cross interpolation for high-precision calculation of high-dimensional integrals
S Dolgov, D Savostyanov
Computer Physics Communications 246, 106869, 2020
482020
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
452014
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
422014
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
362019
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
302020
A tensor decomposition algorithm for large ODEs with conservation laws
SV Dolgov
Computational Methods in Applied Mathematics 19 (1), 23-38, 2019
302019
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