Sergey Dolgov

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	All	Since 2015
Citations	1210	947
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Boris KhoromskijSenior Researcher, Max-Planck Institute for Mathematics in the Sciences, LeipzigVerified email at mis.mpg.de
Dmitry SavostyanovUniversity of EssexVerified email at essex.ac.uk
Ivan OseledetsSkolkovo Institute of Science and TechnologyVerified email at skoltech.ru
Martin StollTU ChemnitzVerified email at mathematik.tu-chemnitz.de
Peter BennerMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Alexander LitvinenkoChair of Mathematics for Uncertainty Quantification, RWTH AachenVerified email at uq.rwth-aachen.de
Eugene TyrtyshnikovMarchuk Institute of Numerical Mathematics of Russian Academy of SciencesVerified email at inm.ras.ru
Hermann G MatthiesProfessor of Computer Science, Inst. of Scientific Computing, TU BraunschweigVerified email at tu-bs.de
Akwum OnwuntaPostdoctoral Research Associate, University of Maryland, College ParkVerified email at cs.umd.edu
Robert ScheichlHeidelberg UniversityVerified email at uni-heidelberg.de
John W PearsonReader, School of Mathematics, The University of EdinburghVerified email at ed.ac.uk
Ilya KuprovAssociate Professor of Chemical Physics, University of SouthamptonVerified email at soton.ac.uk
Colin FoxUniversity of OtagoVerified email at otago.ac.nz
Karim Anaya-IzquierdoLecturer in Statistics at the Department of Mathematical Sciences, University of BathVerified email at bath.ac.uk
Venera KhoromskaiaSenior Scientist, Max-Planck Institute for Mathematics in the SciencesVerified email at mis.mpg.de
Dante KaliseSchool of Mathematical Sciences, University of NottinghamVerified email at nottingham.ac.uk
Kameron Decker HarrisAssistant professor of computer science, Western Washington UniversityVerified email at wwu.edu
Patrick KürschnerLeipzig University of Applied Sciences (HTWK Leipzig)Verified email at htwk-leipzig.de
Stephen R. ClarkUniversity of Bristol, School of PhysicsVerified email at bristol.ac.uk
Michael LubaschPostdoctoral Research Assistant, Clarendon Laboratory, University of Oxford, United KingdomVerified email at physics.ox.ac.uk

Sergey Dolgov

University of Bath

Verified email at bath.ac.uk - Homepage

Numerical analysis scientific computing tensor decompositions


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Alternating minimal energy methods for linear systems in higher dimensions SV Dolgov, DV Savostyanov SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014	203	2014
Solution of linear systems and matrix inversion in the TT-format S Dolgov, IV Oseledets SIAM J. Sci. Comput. 34 (5), A2718-A2739, 2011	158*	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	101*	2012
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	85*	2015
Computation of extreme eigenvalues in higher dimensions using block tensor train format SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov Computer Physics Communications, 2014	85	2014
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	65*	2015
Superfast Fourier transform using QTT approximation S Dolgov, B Khoromskij, D Savostyanov Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011	65*	2011
TT-Toolbox IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ... URL: http://oseledets. github. io/software, 2016	58*	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	52	2013
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	47*	2013
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data P Benner, S Dolgov, A Onwunta, M Stoll	42	2015
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	36	2014
Fast tensor product solvers for optimization problems with fractional differential equations as constraints S Dolgov, JW Pearson, DV Savostyanov, M Stoll	26	2014
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	21	2017
Tensor product methods in numerical simulation of high-dimensional dynamical problems S Dolgov	17	2014
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	16	2019
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	16	2015
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	15	2014
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	14	2020
Low-rank solutions to an optimization problem constrained by the Navier-Stokes equations S Dolgov, M Stoll MPI Magdeburg preprint 15, 2015	14	2015

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