Pole-based approximation of Fermi-Dirac function
Numerical Analysis
2009-12-14 v1
Abstract
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping and the other is based on a version of the multipole representation of the Fermi-Dirac function that uses only simple poles. Both representations have logarithmic computational complexity. They are of great interest for electronic structure calculations.
Cite
@article{arxiv.0906.1319,
title = {Pole-based approximation of Fermi-Dirac function},
author = {Lin Lin and Jianfeng Lu and Lexing Ying and E Weinan},
journal= {arXiv preprint arXiv:0906.1319},
year = {2009}
}
Comments
16 pages, 8 figures, dedicated to Professor Andy Majda on the occasion of his 60th birthday