DOI10.1137/090777372zbMath1227.65113OpenAlexW2020320699MaRDI QIDQ3095048
Heinz-Jürgen Flad, Boris N. Khoromskij, Venera Khoromskaia
Publication date: 28 October 2011
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090777372
A low-rank approach to the computation of path integrals,
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals,
Computation of extreme eigenvalues in higher dimensions using block tensor train format,
QTT-finite-element approximation for multiscale problems. I: Model problems in one dimension,
The geometry of algorithms using hierarchical tensors,
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats,
Simultaneous state-time approximation of the chemical master equation using tensor product formats,
Low-rank tensor methods for partial differential equations,
Tensor decompositions for the bubbles and cube numerical framework,
Approximation of the electron density of aluminium clusters in tensor-product format,
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels,
Fast and accurate 3D tensor calculation of the Fock operator in a general basis,
The preconditioned inverse iteration for hierarchical matrices,
Use of tensor formats in elliptic eigenvalue problems,
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients,
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation,
Superfast Fourier transform using QTT approximation,
On reverse-order law of tensors and its application to additive results on Moore-Penrose inverse,
Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications,
\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling,
Numerical tensor calculus,
Adaptive Low-Rank Methods: Problems on Sobolev Spaces,
Grid-based electronic structure calculations: the tensor decomposition approach,
Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems,
Reverse-order law for weighted Moore-Penrose inverse of tensors,
Fast Multidimensional Convolution in Low-Rank Tensor Formats via Cross Approximation,
On the Compressibility of Tensors,
A literature survey of low-rank tensor approximation techniques
