On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals
type: Item
instance of: scholarly article
title: On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals
zbMATH Open document ID: 1378.65073
author: Peng Zhang
published in: Computer Physics Communications
publication date: 2017-12-05T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 85A05
zbMATH DE Number: 6815497
zbMATH Keywords: double exponential schemes
zbMATH Keywords: trapezoidal quadratures
zbMATH Keywords: Gauss-Legendre quadratures
zbMATH Keywords: residue correction
zbMATH Keywords: continued fraction algorithm
MaRDI profile type: Publication
full work available at URL: j.cpc.2016.06.004
OpenAlex ID: W2469121142
cites work: Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
cites work: The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
cites work: Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
cites work: Two new series for the Fermi-Dirac integral
cites work: A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals
cites work: On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
cites work: Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
cites work: An accurate method for the generalized Fermi-Dirac integral
cites work: On the numerical evaluation of the generalised Fermi-Dirac integrals
cites work: On the evaluation of fermi-Dirac integral and its derivatives by IMT and DE quadrature methods
cites work: Double exponential formulas for numerical integration
cites work: Hilbert spaces for estimating errors of quadratures for analytic functions
cites work: Q3671491
cites work: Q5554503
cites work: Q5820721
DOI: 10.1016/J.CPC.2016.06.004
description: scientific article; zbMATH DE number 6815497