An accurate method for the generalized Fermi-Dirac integral

DOI10.1016/S0010-4655(01)00153-9zbMath0985.65012OpenAlexW1975834383MaRDI QIDQ5944566

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Publication date: 2001

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(01)00153-9

zbMATH Keywords

astrophysicsstellar structurequadrature methodcondensed matter physicsdegenerate electron gasesGauss quadrature with pole correctionGauss-Legendre integrationgeneralized Fermi-Dirac integral

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20) Galactic and stellar structure (85A15) Statistical mechanics of plasmas (82D10) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals ⋮ On the evaluation of correction terms in Gauss-Legendre quadrature ⋮ Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters ⋮ Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions ⋮ Two new series for the Fermi-Dirac integral

Cites Work

• A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals
• On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
• On the numerical evaluation of the generalised Fermi-Dirac integrals

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