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Matematicheskoe modelirovanie, 2016, Volume 28, Number 3, Pages 23–32 (Mi mm3708)  
This article is cited in 4 scientific papers (total in 4 papers)

Prescision approximations for Fermi–Dirak functions of integer index

N. N. Kalitkinab, S. A. Kolganovab

a Keldysh Institute of Applied Mathematics of Rus. Acad. Sci., Moscow
b National Research University of Electronic Technology, Zelenograd
Full-text PDF (319 kB) Citations (4)
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Abstract: Fermi–Dirak functions of integer index are widely used in problems of electronic transport in dense substances. Polynomial approximations are constructed for its quick computation. A simple algorithm is built for finding the coefficients of these approximations based on interpolation with a special linear-trigonometric grid nodes. Represented that this grid provides results close to optimal. Such coefficients are founded for functions of index $1$, $2$, $3$, which provide ratio error $2\cdot10^{-16}$ with $9$ free parametrs.
Keywords: Fermi–Dirak functions, precision approximations, rational approximation, linear-trigonometric grid.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00161_а
Received: 21.04.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 6, Pages 607–614
DOI: https://doi.org/10.1134/S2070048216060090
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Kalitkin, S. A. Kolganov, “Prescision approximations for Fermi–Dirak functions of integer index”, Matem. Mod., 28:3 (2016), 23–32; Math. Models Comput. Simul., 8:6 (2016), 607–614
Citation in format AMSBIB
\Bibitem{KalKol16}
\by N.~N.~Kalitkin, S.~A.~Kolganov
\paper Prescision approximations for Fermi--Dirak functions of integer index
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 3
\pages 23--32
\mathnet{http://mi.mathnet.ru/mm3708}
\elib{https://elibrary.ru/item.asp?id=25865435}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 6
\pages 607--614
\crossref{https://doi.org/10.1134/S2070048216060090}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84994894976}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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