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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 601–610 (Mi zvmmf2)  
This article is cited in 2 scientific papers (total in 2 papers)

Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform

M. M. Kabardov, V. M. Ryabov

Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 29, Staryi Peterhof, 198504, Russia
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Abstract: When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler–Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.
Key words: Laplace transform, inversion of the Laplace transform, Laguerre series, Euler–Knopp method, acceleration of convergence.
Received: 24.04.2008
Revised: 20.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 579–588
DOI: https://doi.org/10.1134/S0965542509040022
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: M. M. Kabardov, V. M. Ryabov, “Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 601–610; Comput. Math. Math. Phys., 49:4 (2009), 579–588
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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