Sergey Dolgov
Title
Cited by
Cited by
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
2312014
Solution of linear systems and matrix inversion in the TT-format
S Dolgov, IV Oseledets
SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011
173*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
111*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
942014
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
92*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
72*2015
Superfast Fourier transform using QTT approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011
67*2011
TT-toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
63*2016
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
592013
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
52*2013
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
P Benner, S Dolgov, A Onwunta, M Stoll
432015
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
362014
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
312014
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 (3), 603-625, 2020
212020
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
202021
Fast iterative solution of the Bethe–Salpeter eigenvalue problem using low-rank and QTT tensor approximation
P Benner, S Dolgov, V Khoromskaia, BN Khoromskij
Journal of computational physics 334, 221-239, 2017
192017
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
182019
Corrected one-site density matrix renormalization group and alternating minimal energy algorithm
SV Dolgov, DV Savostyanov
Numerical Mathematics and Advanced Applications-ENUMATH 2013, 335-343, 2015
182015
Tensor product methods in numerical simulation of high-dimensional dynamical problems
S Dolgov
182014
Low-rank solutions to an optimization problem constrained by the Navier-Stokes equations
S Dolgov, M Stoll
SIAM Journal on Scientific Computing, 2017
172017
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