Fast low-rank solution of the multidimensional hyperbolic problems
type: Item
instance of: scholarly article
title: Fast low-rank solution of the multidimensional hyperbolic problems
zbMATH Open document ID: 1397.65171
author: Z. Zhong
author: Shiheng Wang
author: Ke Wang
published in: Computational Mathematics and Modeling
publication date: 2018-10-05T00:00:00Z
Mathematics Subject Classification ID: 65M22
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 6947795
zbMATH Keywords: low-rank solution
zbMATH Keywords: multidimensional problem
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: QTT-format
zbMATH Keywords: global linear system
zbMATH Keywords: density matrix renormalization group
MaRDI profile type: Publication
full work available at URL: s10598-018-9414-5
OpenAlex ID: W2805411774
cites work: Q3286740
cites work: Convergence of a greedy algorithm for high-dimensional convex nonlinear problems
cites work: Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young'' decomposition
cites work: Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation
cites work: Computation of extreme eigenvalues in higher dimensions using block tensor train format
cites work: Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
cites work: Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators
cites work: Use of tensor formats in elliptic eigenvalue problems
cites work: Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse
cites work: An Alternating Direction Method for Operator Equations
cites work: Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
cites work: QTT approximation of elliptic solution operators in higher dimensions
cites work: A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model.
cites work: Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format
cites work: Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
cites work: Tensor-Train Decomposition
cites work: Solution of Linear Systems and Matrix Inversion in the TT-Format
cites work: Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time
cites work: Q5317969
Wikidata QID: Q129738511
DOI: 10.1007/S10598-018-9414-5
description: scientific article; zbMATH DE number 6947795