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Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters
Journal
Computer Physics Communications
140
Author
Gil Amparo
Odrzywołek Andrzej
Segura Javier
Temme Nico M.
Volume
283
Article ID
108563
ISSN
0010-4655
eISSN
1879-2944
Keywords in English
generalized Fermi-Dirac integral
relativistic Fermi-Dirac integral
asymptotic expansions
numerical approximations
Matlab implementations
Remarks
Informacja o nowej wersji programu FermiDiracExpans ukazała się w czasopiśmie: Computer Physics Communications, Volume 312 (2025), DOI: 10.1016/j.cpc.2025.109605. Publikacja dostępna również w RUJ: https://ruj.uj.edu.pl/handle/item/551642
Language
English
Journal language
English
Abstract in English
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.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
Scopus© citations
5
| cris.lastimport.wos | 2024-04-09T20:58:32Z | |
| dc.abstract.en | 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. | pl |
| dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej | pl |
| dc.contributor.author | Gil, Amparo | pl |
| dc.contributor.author | Odrzywołek, Andrzej - 131140 | pl |
| dc.contributor.author | Segura, Javier | pl |
| dc.contributor.author | Temme, Nico M. | pl |
| dc.date.accessioned | 2022-11-10T15:05:50Z | |
| dc.date.available | 2022-11-10T15:05:50Z | |
| dc.date.issued | 2023 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.additional | Informacja o nowej wersji programu FermiDiracExpans ukazała się w czasopiśmie: Computer Physics Communications, Volume 312 (2025), DOI: <a href="https://doi.org/10.1016/j.cpc.2025.109605" target="_blank">10.1016/j.cpc.2025.109605</a>. Publikacja dostępna również w RUJ: https://ruj.uj.edu.pl/handle/item/551642 | |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 283 | pl |
| dc.identifier.articleid | 108563 | pl |
| dc.identifier.doi | 10.1016/j.cpc.2022.108563 | pl |
| dc.identifier.eissn | 1879-2944 | pl |
| dc.identifier.issn | 0010-4655 | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/303609 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Udzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa | * |
| dc.rights.licence | CC-BY-NC-ND | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl | * |
| dc.share.type | inne | |
| dc.subject.en | generalized Fermi-Dirac integral | pl |
| dc.subject.en | relativistic Fermi-Dirac integral | pl |
| dc.subject.en | asymptotic expansions | pl |
| dc.subject.en | numerical approximations | pl |
| dc.subject.en | Matlab implementations | pl |
| dc.subtype | Article | pl |
| dc.title | Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters | pl |
| dc.title.journal | Computer Physics Communications | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
cris.lastimport.wos
2024-04-09T20:58:32Z dc.abstract.enpl
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. dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej dc.contributor.authorpl
Gil, Amparo dc.contributor.authorpl
Odrzywołek, Andrzej - 131140 dc.contributor.authorpl
Segura, Javier dc.contributor.authorpl
Temme, Nico M. dc.date.accessioned
2022-11-10T15:05:50Z dc.date.available
2022-11-10T15:05:50Z dc.date.issuedpl
2023 dc.date.openaccess
0 dc.description.accesstime
w momencie opublikowania dc.description.additional
Informacja o nowej wersji programu FermiDiracExpans ukazała się w czasopiśmie: Computer Physics Communications, Volume 312 (2025), DOI: <a href="https://doi.org/10.1016/j.cpc.2025.109605" target="_blank">10.1016/j.cpc.2025.109605</a>. Publikacja dostępna również w RUJ: https://ruj.uj.edu.pl/handle/item/551642 dc.description.version
ostateczna wersja wydawcy dc.description.volumepl
283 dc.identifier.articleidpl
108563 dc.identifier.doipl
10.1016/j.cpc.2022.108563 dc.identifier.eissnpl
1879-2944 dc.identifier.issnpl
0010-4655 dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/303609 dc.languagepl
eng dc.language.containerpl
eng dc.rights*
Udzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa dc.rights.licence
CC-BY-NC-ND dc.rights.uri*
http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl dc.share.type
inne dc.subject.enpl
generalized Fermi-Dirac integral dc.subject.enpl
relativistic Fermi-Dirac integral dc.subject.enpl
asymptotic expansions dc.subject.enpl
numerical approximations dc.subject.enpl
Matlab implementations dc.subtypepl
Article dc.titlepl
Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters dc.title.journalpl
Computer Physics Communications dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Odrzywołek, Andrzej
No affiliation
Gil, Amparo
Segura, Javier
Temme, Nico M.
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