Pole-based approximation of the Fermi-dirac function
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2009-12-01
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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. © Editorial Office of CAM and Springer-Verlag Berlin Heidelberg 2009.
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Lin, Lin, Jianfeng Lu, Lexing Ying and Weinan E (2009). Pole-based approximation of the Fermi-dirac function. Chinese Annals of Mathematics. Series B, 30(6). pp. 729–742. 10.1007/s11401-009-0201-7 Retrieved from https://hdl.handle.net/10161/14062.
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