Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry
Numerical Analysis
2022-10-25 v1 Numerical Analysis
Abstract
We introduce two new approximation methods for the numerical evaluation of the long-range Coulomb potential and the approximation of the resulting high dimensional Two-Electron Integrals tensor (TEI) with long-range interactions arising in molecular simulations. The first method exploits the tensorized structure of the compressed two-electron integrals obtained through two-dimensional Chebyshev interpolation combined with Gaussian quadrature. The second method is based on the Fast Multipole Method (FMM). Numerical experiments for different medium size molecules on high quality basis sets outline the efficiency of the two methods. Detailed algorithmic is provided in this paper as well as numerical comparison of the introduced approaches.
Keywords
Cite
@article{arxiv.2210.13069,
title = {Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry},
author = {Siwar Badreddine and Igor Chollet and Laura Grigori},
journal= {arXiv preprint arXiv:2210.13069},
year = {2022}
}