Computing the Fermi−Dirac Functions by Exponentially Convergent Quadratures-Reference-Cited by-同舟云学术

Computing the Fermi−Dirac Functions by Exponentially Convergent Quadratures

Published:2018-07 Issue:4 Volume:10 Page:472-482
ISSN:2070-0482
Container-title:Mathematical Models and Computer Simulations
language:en
Short-container-title:Math Models Comput Simul

Author:

Kalitkin N. N.,Kolganov S. A.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1134/S2070048218040063.pdf

Reference15 articles.

1. E. C. Stoner and J. McDougall, “The computation of Fermi-Dirac functions,” Philos. Trans. R. Soc. London, Ser. A 237 (773), 67–104 (1938).

2. H. C. Thacher, Jr. and W. J. Cody, “Rational Chebyshev approximations for Fermi-Dirac integrals of orders‒1/2, 1/2 and 3/2,” Math. Comput., 30–407 (1967).

3. R. B. Dingle, Asymptotic Expansions: Their Derivation and Interpretation (Academic, London, 1973).

4. P. V. Halen and D. L. Pulfrey, “Accurate, short series approximations to Fermi-Dirac integrals of order–1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2,” J. Appl. Phys. 57, 5271–5274 (1985).

5. L. D. Cloutman, “Numerical evaluation of the Fermi-Dirac integrals,” Astrophys. J. Suppl. Ser. 71, 677 (1989).

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