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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2019, Volume 22, Number 4, Pages 453–472
DOI: https://doi.org/10.15372/SJNM20190405 (Mi sjvm725) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On computation of the Bessel function by summing up the series

E. A. Karatsuba

Federal Research Center “Informatics and Management” of the Russian Academy of Sciences, Dorodnitsyn Computing Center, ul. Vavilova 40, b. 2, Moscow, 119333 Russia
Full-text PDF (535 kB) Citations (7)
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DOI: https://doi.org/10.15372/SJNM20190405
Abstract: Two algorithms for an effective calculation of the Bessel function are presented: a fast algorithm with an increasing accuracy of computation and a computational algorithm for the case of a large argument of the Bessel function.
Key words: Bessel functions, fast algorithms, computational complexity, FEE method, large argument, efficient calculation.
Funding agency Grant number
Russian Foundation for Basic Research 17-20-02222_офи_м_РЖД
19-07-00750_а
Received: 08.08.2018
Revised: 20.12.2018
Accepted: 25.07.2019
English version:
Numerical Analysis and Applications, 2019, Volume 12, Issue 4, Pages 372–387
DOI: https://doi.org/10.1134/S1995423919040050
Bibliographic databases:
Document Type: Article
UDC: 519.651+519.688, 519.712
Language: Russian
Citation: E. A. Karatsuba, “On computation of the Bessel function by summing up the series”, Sib. Zh. Vychisl. Mat., 22:4 (2019), 453–472; Num. Anal. Appl., 12:4 (2019), 372–387
Citation in format AMSBIB
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\pages 453--472
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\transl
\jour Num. Anal. Appl.
\yr 2019
\vol 12
\issue 4
\pages 372--387
\crossref{https://doi.org/10.1134/S1995423919040050}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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