Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters
Published: 31 October 2022| Version 1 | DOI: 10.17632/sk34wtcxhh.1
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, , , Description
Approximations with Matlab implementations for the relativistic Fermi-Dirac integral and its partial derivatives are given in this paper. As the numerical tests show, the expansions allow to calculate the functions efficiently and with high accuracy for a large range of parameters. Therefore, our algorithms are expected to be a very useful tool, in combination with other methods, for building reliable and efficient software for computing the functions for all the parameters ranges.
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Computational Physics, Numerical Approximation, Mathematical Method in Physics