Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation

Greedy Approximation of High-Dimensional Ornstein–Uhlenbeck Operators

(2012) Leonardo E. Figueroa et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Superfast Fourier Transform Using QTT Approximation

(2012) Sergey Dolgov et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse

(2012) Vladimir A. Kazeev et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format

(2012) Sebastian Holtz et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Solution of Linear Systems and Matrix Inversion in the TT-Format

(2012) I. V. Oseledets et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensors-structured numerical methods in scientific computing: Survey on recent advances

(2011) Boris N. Khoromskij   CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS

O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling

(2011) Boris N. Khoromskij   CONSTRUCTIVE APPROXIMATION

CONVERGENCE OF A GREEDY ALGORITHM FOR HIGH-DIMENSIONAL CONVEX NONLINEAR PROBLEMS

(2011) ERIC CANCÈS et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On manifolds of tensors of fixed TT-rank

(2011) Sebastian Holtz et al.   NUMERISCHE MATHEMATIK

Convergence Rates for Greedy Algorithms in Reduced Basis Methods

(2011) Peter Binev et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format

(2011) B. N. Khoromskij et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor-Train Decomposition

(2011) I. V. Oseledets   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Finite element approximation of kinetic dilute polymer models with microscopic cut-off

(2010) John W. Barrett et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition

(2010) I. V. Oseledets   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations

(2009) C. Le Bris et al.   CONSTRUCTIVE APPROXIMATION

A New Scheme for the Tensor Representation

(2009) W. Hackbusch et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

TT-cross approximation for multidimensional arrays

(2009) Ivan Oseledets et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays

(2009) B. N. Khoromskij et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

(2009) I. V. Oseledets et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor Decompositions and Applications

(2009) Tamara G. Kolda et al.   SIAM REVIEW

Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

(2008) Vin de Silva et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS