On the numerical evaluation of the generalised Fermi-Dirac integrals

DOI10.1016/0010-4655(93)90118-VzbMath0855.65012OpenAlexW1996033843MaRDI QIDQ1923729

Yanyan Li

Publication date: 10 October 1996

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

Full work available at URL: https://doi.org/10.1016/0010-4655(93)90118-v

zbMATH Keywords

trapezoidal ruleGauss-type quadraturesastrophysical problemsgeneralised Fermi-Dirac integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) General questions in astronomy and astrophysics (85A04)

Related Items (11)

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ Some remarks regarding a modified Gauss-Legendre scheme ⋮ On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals ⋮ On an interesting variant of the IMT quadrature ⋮ Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters ⋮ An algorithm of calculating transport parameters of thermoelectric materials using single band model with optimized integration methods ⋮ Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions ⋮ Generalized Fermi-Dirac functions and derivatives: Properties and evaluation ⋮ On the evaluation of fermi-Dirac integral and its derivatives by IMT and DE quadrature methods ⋮ An accurate method for the generalized Fermi-Dirac integral ⋮ The accurate evaluation of a particular Fermi-Dirac integral

Cites Work

• A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals
• Numerical integration of analytic functions
• Integration Formulae Based on the Trapezoidal Formula

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