Fast low‐rank approximations of multidimensional integrals in ion‐atomic collisions modelling
From MaRDI portal
Publication:5739747
DOI10.1002/nla.2008zbMath1399.65101arXiv1504.05832OpenAlexW2949493764MaRDI QIDQ5739747
Mikhail S. Litsarev, Ivan V. Oseledets
Publication date: 19 July 2016
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.05832
exponential sumslow-rank approximationseparated representation2D cross3D integrationSlater wave function
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interacting particle systems in time-dependent statistical mechanics (82C22) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items
Uses Software
Cites Work
- Tensor Decompositions and Applications
- Tensor-Train Decomposition
- The DEPOSIT computer code based on the low rank approximations
- \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling
- Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions
- Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators
- Tensor decomposition in electronic structure calculations on 3D Cartesian grids
- Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\)
- Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
- Mosaic-skeleton approximations
- Pseudo-skeleton approximations by matrices of maximal volume
- A theory of pseudoskeleton approximations
- Incomplete cross approximation in the mosaic-skeleton method
- Approximation of boundary element matrices
- Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
- Constructive representation of functions in low-rank tensor formats
- Approximation by exponential sums revisited
- On approximation of functions by exponential sums
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays
- Numerical operator calculus in higher dimensions
- Fast Multidimensional Convolution in Low-Rank Tensor Formats via Cross Approximation
- Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis
- Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time
- Structured Rank-(r1, . . . , rd) Decomposition of Function-related Tensors in R_D
- Algorithms for Numerical Analysis in High Dimensions
