On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals
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Publication:1682680
DOI10.1016/j.cpc.2016.06.004zbMath1378.65073OpenAlexW2469121142MaRDI QIDQ1682680
Publication date: 5 December 2017
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2016.06.004
continued fraction algorithmGauss-Legendre quadraturesdouble exponential schemesresidue correctiontrapezoidal quadratures
Applications to the sciences (65Z05) Galactic and stellar dynamics (85A05) Numerical integration (65D30)
Related Items (3)
Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters ⋮ Complete asymptotic expansions for the relativistic Fermi-Dirac integral ⋮ The application of real convolution for analytically evaluating Fermi-Dirac-type and Bose-Einstein-type integrals
Cites Work
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- The Fermi-Dirac integrals $$\mathcal{F}_p (\eta ) = (p!)^{ - 1} \int\limits_0^\infty {\varepsilon ^p (e^{\varepsilon - \eta } + 1} )^{ - 1} d\varepsilon $$
- Algorithm 745: computation of the complete and incomplete Fermi-Dirac integral
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- Hilbert spaces for estimating errors of quadratures for analytic functions
- Generalized Fermi-Dirac functions and derivatives: Properties and evaluation
- An accurate method for the generalized Fermi-Dirac integral
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