Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
From MaRDI portal
Publication:1948832
DOI10.1016/j.cpc.2011.12.016zbMath1308.65213OpenAlexW1964163189MaRDI QIDQ1948832
Cristóbal Bertoglio, Boris N. Khoromskij
Publication date: 25 April 2013
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2011.12.016
electronic structure calculationstensor-product approximationGaussian integral transformNewton/Yukawa potentialssinc-quadrature
Related Items (18)
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals ⋮ The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions ⋮ Tensor structured evaluation of singular volume integrals ⋮ Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach ⋮ Using the Tensor-Train Approach to Solve the Ground-State Eigenproblem for Hydrogen Molecules ⋮ An equi-directional generalization of adaptive cross approximation for higher-order tensors ⋮ Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse ⋮ Fast and accurate 3D tensor calculation of the Fock operator in a general basis ⋮ Range-Separated Tensor Format for Many-Particle Modeling ⋮ Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation ⋮ Fast cubature of volume potentials over rectangular domains by approximate approximations ⋮ Superfast Fourier transform using QTT approximation ⋮ Fast tensor method for summation of long‐range potentials on 3D lattices with defects ⋮ Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications ⋮ Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems ⋮ Tucker tensor analysis of Matérn functions in spatial statistics ⋮ Regularization of Poisson--Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format ⋮ A literature survey of low-rank tensor approximation techniques
Cites Work
- Unnamed Item
- Unnamed Item
- \(O(d \log N)\)-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
- Tensor decomposition in electronic structure calculations on 3D Cartesian grids
- Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
- Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
- Low rank Tucker-type tensor approximation to classical potentials
- Tensor-product approximation to operators and functions in high dimensions
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- QTT approximation of elliptic solution operators in higher dimensions
- Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format
- Computational chemistry from the perspective of numerical analysis
- On the efficient computation of high-dimensional integrals and the approximation by exponential sums
- Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays
- Data-sparse approximation to a class of operator-valued functions
- Approximation of 1/x by exponential sums in [1, ∞)
- On tensor approximation of Green iterations for Kohn-Sham equations
This page was built for publication: Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
