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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 7, Pages 1118–1124
DOI: https://doi.org/10.7868/S0044466915050142
(Mi zvmmf10231)
 

This article is cited in 3 scientific papers (total in 3 papers)

On integration contour deformation in a Laplace transform inversion formula

A. V. Lebedeva, V. M. Ryabov

Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg, 198504, Russia
Full-text PDF (170 kB) Citations (3)
References:
Abstract: Laplace transform inversion formulas are proposed that rely on integration contour deformation in the Riemann–Mellin inversion formula followed by applying quadrature formulas and deriving error estimates.
Key words: Laplace transform, Laplace transform inversion, quadrature formulas, convergence of quadrature formulas.
Received: 03.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 7, Pages 1103–1109
DOI: https://doi.org/10.1134/S0965542515050139
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: A. V. Lebedeva, V. M. Ryabov, “On integration contour deformation in a Laplace transform inversion formula”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1118–1124; Comput. Math. Math. Phys., 55:7 (2015), 1103–1109
Citation in format AMSBIB
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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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