Sergey Dolgov

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Boris KhoromskijSenior Researcher, Max-Planck Institute for Mathematics in the Sciences, LeipzigVerified email at mis.mpg.de
Dmitry SavostyanovUniversity of Essex, Department of Mathematical SciencesVerified 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
Robert ScheichlHeidelberg UniversityVerified email at uni-heidelberg.de
Alexander LitvinenkoChair of Mathematics for Uncertainty Quantification, RWTH AachenVerified email at uq.rwth-aachen.de
Hermann G MatthiesProfessor of Computer Science, Inst. of Scientific Computing, TU BraunschweigVerified email at tu-bs.de
Eugene TyrtyshnikovMarchuk Institute of Numerical Mathematics of Russian Academy of SciencesVerified email at inm.ras.ru
Akwum OnwuntaDept. of Industrial and Systems Engineering, Lehigh UniversityVerified email at lehigh.edu
John W PearsonReader, School of Mathematics, The University of EdinburghVerified email at ed.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
Tiangang CuiMonash UniversityVerified email at monash.edu
Dante KaliseDepartment of Mathematics, Imperial College LondonVerified email at ic.ac.uk
Karl KunischProfessor für MathematikVerified email at uni-graz.at
Ilya KuprovAssociate Professor of Chemical Physics, University of SouthamptonVerified email at soton.ac.uk
Venera KhoromskaiaSenior Scientist, Max-Planck Institute for Mathematics in the SciencesVerified email at mis.mpg.de
Stephen R. ClarkAssociate Professor, University of Bristol, School of PhysicsVerified email at bristol.ac.uk
Michael LubaschResearch Scientist, Cambridge Quantum Computing Ltd., United KingdomVerified email at cambridgequantum.com

Sergey Dolgov

University of Bath

Verified email at bath.ac.uk - Homepage

Numerical analysis scientific computing tensor decompositions uncertainty quantification


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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	277	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	197*	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	126*	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	106	2014
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	102*	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	90*	2015
Superfast Fourier transform using QTT approximation S Dolgov, B Khoromskij, D Savostyanov Journal of Fourier Analysis and Applications 18 (5), 915-953, 2011	83*	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	78	2013
TT-toolbox IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ... URL: http://oseledets. github. io/software, 2016	71*	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	64*	2013
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data P Benner, S Dolgov, A Onwunta, M Stoll	58	2015
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	47	2021
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	46	2020
Fast tensor product solvers for optimization problems with fractional differential equations as constraints S Dolgov, JW Pearson, DV Savostyanov, M Stoll	40	2014
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	38	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	28	2019
Parallel cross interpolation for high-precision calculation of high-dimensional integrals S Dolgov, D Savostyanov Computer Physics Communications 246, 106869, 2020	24	2020
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	24	2017
Tensor product methods in numerical simulation of high-dimensional dynamical problems S Dolgov	23	2014
A tensor decomposition algorithm for large ODEs with conservation laws SV Dolgov Computational Methods in Applied Mathematics 19 (1), 23-38, 2019	22	2019

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