Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays - MaRDI portal

Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays

From MaRDI portal
Publication:3581078

DOI10.1137/080730408zbMath1197.65215OpenAlexW2024938971MaRDI QIDQ3581078

Boris N. Khoromskij, Venera Khoromskaia

Publication date: 16 August 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080730408



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (52)

Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraintsNumerical solution of high dimensional stationary Fokker-Planck equations via tensor decomposition and Chebyshev spectral differentiationTensor decomposition in electronic structure calculations on 3D Cartesian gridsA low-rank approach to the computation of path integralsTensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\)Black box low tensor-rank approximation using fiber-crossesSolving phase-field models in the tensor train format to generate microstructures of bicontinuous compositesMøller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integralsComputation of extreme eigenvalues in higher dimensions using block tensor train formatSOTT: Greedy Approximation of a Tensor as a Sum of Tensor TrainsSimultaneous state-time approximation of the chemical master equation using tensor product formatsA sequential subspace projection method for extreme Z-eigenvalues of supersymmetric tensorsKrylov-type methods for tensor computations.IA tensor decomposition approach to data compression and approximation of ND systemsBlock circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approachConstructive representation of functions in low-rank tensor formatsTensor decompositions for the bubbles and cube numerical frameworkApproximation of the electron density of aluminium clusters in tensor-product formatOn manifolds of tensors of fixed TT-rankLiterature survey on low rank approximation of matricesLow-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernelsGeneralized cross approximation for 3D-tensorsRange-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverseDerivation and Analysis of Fast Bilinear Algorithms for ConvolutionExploiting Efficient Representations in Large-Scale Tensor DecompositionsFast and accurate 3D tensor calculation of the Fock operator in a general basisMultiresolution Low-rank Tensor FormatsRange-Separated Tensor Format for Many-Particle ModelingFast truncation of mode ranks for bilinear tensor operationsUse of tensor formats in elliptic eigenvalue problemsGrid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximationSuperfast Fourier transform using QTT approximationFast low‐rank approximations of multidimensional integrals in ion‐atomic collisions modellingFast tensor method for summation of long‐range potentials on 3D lattices with defectsTensor numerical methods for multidimensional PDES: theoretical analysis and initial applicationsAdaptive cross approximation of multivariate functions\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modelingFast and accurate tensor approximation of a multivariate convolution with linear scaling in dimensionGrid-based electronic structure calculations: the tensor decomposition approachProspects of tensor-based numerical modeling of the collective electrostatics in many-particle systemsCross approximation in tensor electron density computationsLow rank tensor methods in Galerkin-based isogeometric analysisSolving differential Riccati equations: a nonlinear space-time method using tensor trainsNumerical Computation for Orthogonal Low-Rank Approximation of TensorsTucker tensor analysis of Matérn functions in spatial statisticsApproximate solution of linear systems with Laplace-like operators via cross approximation in the frequency domainA Krylov-Schur-like method for computing the best rank-\((r_1,r_2,r_3)\) approximation of large and sparse tensorsNews Algorithms for tensor decomposition based on a reduced functionalLow-rank tensor completion using matrix factorization based on tensor train rank and total variationFast Multidimensional Convolution in Low-Rank Tensor Formats via Cross ApproximationRegularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor FormatA literature survey of low-rank tensor approximation techniques




This page was built for publication: Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays