Sergey Dolgov
TitleCited byYear
Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
1492014
Solution of linear systems and matrix inversion in the TT-format
S Dolgov, IV Oseledets
SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011
131*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
87*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
702014
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
67*2015
Superfast Fourier transform using QTT approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011
60*2011
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
46*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
462013
TT-Toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
43*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
38*2013
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
P Benner, S Dolgov, A Onwunta, M Stoll
262015
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
242014
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
162017
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
162014
Tensor product methods in numerical simulation of high-dimensional dynamical problems
S Dolgov
162014
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
142015
A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients
S Dolgov, BN Khoromskij, I Oseledets, E Tyrtyshnikov
Linear algebra and its applications 436 (9), 2980-3007, 2012
112012
Low-rank approximation in the numerical modeling of the Farley–Buneman instability in ionospheric plasma
SV Dolgov, AP Smirnov, EE Tyrtyshnikov
Journal of Computational Physics 263, 268-282, 2014
102014
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
SV Dolgov, VA Kazeev, BN Khoromskij
Mathematics and Computers in Simulation 145, 136-155, 2018
8*2018
Tensor structured iterative solution of elliptic problems with jumping coefficients
S Dolgov, BN Khoromskij, IV Oseledets, EE Tyrtyshnikov
82010
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Articles 1–20