Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters
| Autor: | Amparo Gil, Andrzej Odrzywołek, Javier Segura, Nico M. Temme |
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| Přispěvatelé: | Universidad de Cantabria |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
generalized Fermi-Dirac integral
Asymptotic expansions Hardware and Architecture Numerical approximations Matlab implementations relativistic Fermi-Dirac integral numerical approximations General Physics and Astronomy Generalized Fermi-Dirac integral asymptotic expansions Relativistic Fermi-Dirac integral |
| Zdroj: | Computer Physics Communications, 2023, 283, 108563 |
| Popis: | 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. We thank the referees for their constructive and helpful remarks. AG, JS and NMT thank financial support from projects PGC2018-098279-B-I00 funded by MCIN/AEI/10.13039/501100011033/ FEDER “Una manera de hacer Europa” and PID2021-127252NB-I00 funded by MCIN/AEI/10.13039/501100011033/ FEDER, UE. NMT thanks CWI Amsterdam for scientific support. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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