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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 2, Pages 21–32 (Mi sjim722)  
This article is cited in 4 scientific papers (total in 4 papers)

Algorithms for computing complete elliptic integrals and some related functions

V. N. Belykh

Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
Full-text PDF (239 kB) Citations (4)
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Abstract: We give new algorithms for computing the complete elliptic integrals of the first and second kinds and some related functions. The algorithms are constructed on the base of rapidly converging power series; the fixed sign of the series guarantees their good conditionality (stability with respect to rounding errors). The algorithms turned out to be flexible and easily adaptable to any specific demands of computing practice.
Keywords: complete elliptic integrals of the first and second kinds, toroidal functions, conical functions.
Received: 01.11.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 4, Pages 410–420
DOI: https://doi.org/10.1134/S1990478912040023
Bibliographic databases:
Document Type: Article
UDC: 517.583
Language: Russian
Citation: V. N. Belykh, “Algorithms for computing complete elliptic integrals and some related functions”, Sib. Zh. Ind. Mat., 15:2 (2012), 21–32; J. Appl. Industr. Math., 6:4 (2012), 410–420
Citation in format AMSBIB
\Bibitem{Bel12}
\by V.~N.~Belykh
\paper Algorithms for computing complete elliptic integrals and some related functions
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 2
\pages 21--32
\mathnet{http://mi.mathnet.ru/sjim722}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3098823}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 4
\pages 410--420
\crossref{https://doi.org/10.1134/S1990478912040023}
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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
    		Сибирский журнал индустриальной математики
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