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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 996–1001 (Mi zvmmf454)  
This article is cited in 2 scientific papers (total in 3 papers)

Highly accurate calculation of radial spheroidal functions

A. A. Abramov, S. V. Kurochkin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (857 kB) Citations (3)
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Abstract: A new method for calculating the radial spheroidal functions of the first kind is proposed for the arguments that are greater than unity in modulus. A well-known representation of these functions is refined and used for this purpose. The constructs and the software implementation proposed in the paper provide an efficient tool for the calculation of the functions with a desired accuracy in a wide range of parameters.
Key words: radial spheroidal functions, recurrences, eigenvalue problem, numerical stability, numerical algorithm.
Received: 11.10.2005
Revised: 10.01.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 949–954
DOI: https://doi.org/10.1134/S0965542506060042
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.589
Language: Russian
Citation: A. A. Abramov, S. V. Kurochkin, “Highly accurate calculation of radial spheroidal functions”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 996–1001; Comput. Math. Math. Phys., 46:6 (2006), 949–954
Citation in format AMSBIB
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\by A.~A.~Abramov, S.~V.~Kurochkin
\paper Highly accurate calculation of radial spheroidal functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 996--1001
\mathnet{http://mi.mathnet.ru/zvmmf454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2285360}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 949--954
\crossref{https://doi.org/10.1134/S0965542506060042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746140475}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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