@article{01438af5108340a7b1b8481eb176c825,

title = "Pole-based approximation of the Fermi-dirac function",

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.",

keywords = "Contour integral, Fermi-Dirac function, Rational approximation",

author = "Lin Lin and Jianfeng Lu and Lexing Ying and E. Weinan",

note = "Funding Information: Manuscript received June 6, 2009. Published online August 18, 2009. ∗Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA. E-mail: linlin@math.princeton.edu jianfeng@math.princeton.edu ∗∗Department of Mathematics and ICES, University of Texas at Austin, 1 University Station/C1200, Austin, TX 78712, USA. E-mail: lexing@math.utexas.edu ∗∗∗Department of Mathematics and PACM, Princeton University, Princeton, NJ 08544, USA. E-mail: weinan@math.princeton.edu ∗∗∗∗Project supported by the Department of Energy (No. DE-FG02-03ER25587), the Office of Naval Research (No. N00014-01-1-0674), an Alfred P. Sloan Research Fellowship and a startup grant from University of Texas at Austin.",

year = "2009",

month = dec,

doi = "10.1007/s11401-009-0201-7",

language = "English (US)",

volume = "30",

pages = "729--742",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "6",

}