Precise and fast computation of generalized Fermi-Dirac integral by parameter polynomial approximation

DOI10.1016/j.amc.2015.08.094zbMath1410.65068OpenAlexW1537872913MaRDI QIDQ670845

Toshio Fukushima

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.094

zbMATH Keywords

generalized Fermi-Dirac integralFermi-Dirac integralSommerfeld expansionminimax polynomial approximation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Uses Software

• Mathematica
• DLMF

Cites Work

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• Computation of a general integral of Fermi-Dirac distribution by McDougall-Stoner method
• Analytical computation of generalized Fermi-Dirac integrals by truncated Sommerfeld expansions
• Double exponential formulas for numerical integration
• Precise and fast computation of Fermi-Dirac integral of integer and half integer order by piecewise minimax rational approximation
• Gaussian integration with rescaling of abscissas and weights
• Generalized Fermi-Dirac functions and derivatives: Properties and evaluation