Direct solution of the chemical master equation using quantized tensor trains V Kazeev, M Khammash, M Nip, C Schwab PLoS computational biology 10 (3), e1003359, 2014 | 190 | 2014 |
Low-rank explicit QTT representation of the Laplace operator and its inverse VA Kazeev, BN Khoromskij SIAM journal on matrix analysis and applications 33 (3), 742-758, 2012 | 156 | 2012 |
Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity VA Kazeev, BN Khoromskij, EE Tyrtyshnikov SIAM Journal on Scientific Computing 35 (3), A1511-A1536, 2013 | 111 | 2013 |
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats V Kazeev, O Reichmann, C Schwab Linear Algebra and its Applications 438 (11), 4204-4221, 2013 | 58 | 2013 |
Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions V Kazeev, C Schwab Numerische Mathematik 138, 133-190, 2018 | 40 | 2018 |
TT-toolbox IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ... URL: http://oseledets. github. io/software, 2016 | 40 | 2016 |
Tensor approximation of stationary distributions of chemical reaction networks V Kazeev, C Schwab SIAM Journal on Matrix Analysis and Applications 36 (3), 1221-1247, 2015 | 39 | 2015 |
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs M Bachmayr, V Kazeev Foundations of Computational Mathematics 20 (5), 1175-1236, 2020 | 29 | 2020 |
TT-Toolbox 2.2 IV Oseledets, S Dolgov, V Kazeev, O Lebedeva, T Mach available online, URL: http://spring. inm. ras. ru/osel, 2012 | 29 | 2012 |
QTT-finite-element approximation for multiscale problems I: model problems in one dimension V Kazeev, I Oseledets, M Rakhuba, C Schwab Advances in Computational Mathematics 43, 411-442, 2017 | 26 | 2017 |
TT-Toolbox, 2011 IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ... URL https://github. com/oseledets/TT-Toolbox, 0 | 24 | |
hp-DG-QTT solution of high-dimensional degenerate diffusion equations V Kazeev, O Reichmann, C Schwab SAM Research Report 2012, 2012 | 20 | 2012 |
Structure of the Hessian matrix and an economical implementation of Newton’s method in the problem of canonical approximation of tensors VA Kazeev, EE Tyrtyshnikov Computational Mathematics and Mathematical Physics 50, 927-945, 2010 | 16 | 2010 |
The tensor structure of a class of adaptive algebraic wavelet transforms VA Kazeev, IV Oseledets Preprint 28 (4), 2013 | 11 | 2013 |
Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions V Kazeev, I Oseledets, MV Rakhuba, C Schwab Multiscale Modeling & Simulation 20 (3), 893-935, 2022 | 10 | 2022 |
Approximation of Singularities by Quantized‐Tensor FEM V Kazeev, C Schwab PAMM 15 (1), 743-746, 2015 | 8 | 2015 |
The tensor-structured solution of one-dimensional elliptic differential equations with high-dimensional parameters S Dolgov, VA Kazeev, BN Khoromskij Niedersächsische Staats-und Universitätsbibliothek, 2012 | 7 | 2012 |
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 | 6 | 2018 |
Minimax algorithm for constructing an optimal control strategy in differential games with a lipschitz payoff GE Ivanov, VA Kazeev Computational Mathematics and Mathematical Physics 51, 550-574, 2011 | 6 | 2011 |
On explicit QTT representation of Laplace operator and its inverse VA Kazeev, BN Khoromskij | 6 | 2010 |