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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive
Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 7, Pages 1118–1124 (Mi zvmmf10231)
This article is cited in 2 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

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.

UDC: 519.65

Received: 03.09.2014

DOI: 10.7868/S0044466915050142


 English version: Computational Mathematics and Mathematical Physics, 2015, 55:7, 1103–1109

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© Steklov Math. Inst. of RAS, 2024