A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals

DOI10.1016/0010-4655(91)90076-WzbMath0997.65520OpenAlexW2017804431WikidataQ56084158 ScholiaQ56084158MaRDI QIDQ1366052

Robin P. Sagar

Publication date: 10 November 1997

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

Full work available at URL: https://doi.org/10.1016/0010-4655(91)90076-w

zbMATH Keywords

Gaussian quadratureFermi-Dirac integralsquantum statistical distributionsFermi-Dirac distributions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Quantum equilibrium statistical mechanics (general) (82B10) Numerical quadrature and cubature formulas (65D32)

Related Items

Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method ⋮ On the computation of generalized Fermi-Dirac and Bose-Einstein integrals ⋮ On the numerical evaluation of the generalised Fermi-Dirac integrals ⋮ On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals ⋮ Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions ⋮ Complete asymptotic expansions for the relativistic Fermi-Dirac integral ⋮ Two new series for the Fermi-Dirac integral ⋮ An accurate method for the generalized Fermi-Dirac integral ⋮ The accurate evaluation of a particular Fermi-Dirac integral

Cites Work

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• Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series
• On Generating Orthogonal Polynomials
• Construction of Gauss-Christoffel Quadrature Formulas