Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters
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 al...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universidad de Cantabria (UC) |
| Repository: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Language: | English |
| OAI Identifier: | oai:repositorio.unican.es:10902/26903 |
| Online Access: | https://hdl.handle.net/10902/26903 |
| Access Level: | Open access |
| Keyword: | Generalized Fermi-Dirac integral Relativistic Fermi-Dirac integral Asymptotic expansions Numerical approximations Matlab implementations |
| Summary: | 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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