Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse. - Vladimir A. Kazeev; Boris N. Khoromskij (SIAM J. Matrix Anal. Appl., 2012)

Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. - Vladimir A. Kazeev; Boris N. Khoromskij; Eugene E. Tyrtyshnikov (SIAM J. Sci. Comput., 2013)

Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains. - Vladimir A. Kazeev; Mustafa Khammash; Michael Nip; Christoph Schwab (PLoS Comput. Biol., 2014)

Tensor Approximation of Stationary Distributions of Chemical Reaction Networks. - Vladimir A. Kazeev; Christoph Schwab (SIAM J. Matrix Anal. Appl., 2015)

QTT-finite-element approximation for multiscale problems I: model problems in one dimension. - Vladimir A. Kazeev; Ivan V. Oseledets; Maksim Rakhuba; Christoph Schwab (Adv. Comput. Math., 2017)

Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. - Sergey Dolgov; Vladimir A. Kazeev; Boris N. Khoromskij (Math. Comput. Simul., 2018)

Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions. - Vladimir A. Kazeev; Christoph Schwab (Numerische Mathematik, 2018)

Stability of Low-Rank Tensor Representations and Structured Multilevel Preconditioning for Elliptic PDEs. - Markus Bachmayr; Vladimir A. Kazeev (Found. Comput. Math., 2020)

Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions. - Vladimir A. Kazeev; Ivan V. Oseledets; Maxim V. Rakhuba; Christoph Schwab (Multiscale Model. Simul., 2022)

Limitations of neural network training due to numerical instability of backpropagation. - Clemens Karner; Vladimir A. Kazeev; Philipp Christian Petersen (Adv. Comput. Math., 2024)