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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 12, Pages 2133–2139 (Mi zvmmf9804)  
Special quadrature rules for Laplace transform inversion

A. V. Lebedeva, V. M. Ryabov

St. Petersburg State University, Department of Mathematics and Mechanics
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Abstract: Quadrature rules for Laplace transform inversion are studied that are adapted to the inversion of transforms corresponding to slowly varying long processes characteristic of linear viscoelasticity problems. The convergence of special quadrature rules for Laplace transform inversion is proved.
Key words: Laplace transform, Laplace transform inversion, quadrature rules, convergence of quadrature rules, linear viscoelasticity problem, singular kernels.
Received: 12.05.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 12, Pages 1597–1602
DOI: https://doi.org/10.1134/S096554251212010X
Bibliographic databases:
Document Type: Article
UDC: 519.644.5
Language: Russian
Citation: A. V. Lebedeva, V. M. Ryabov, “Special quadrature rules for Laplace transform inversion”, Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012), 2133–2139; Comput. Math. Math. Phys., 52:12 (2012), 1597–1602
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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