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Special quadrature rules for Laplace transform inversion

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg, 198504, Russia

    A. V. Lebedeva & V. M. Ryabov

Authors
  1. A. V. Lebedeva
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  2. V. M. Ryabov
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Correspondence to A. V. Lebedeva.

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Original Russian Text © A.V. Lebedeva, V.M. Ryabov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 12, pp. 2133–2139.

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Lebedeva, A.V., Ryabov, V.M. Special quadrature rules for Laplace transform inversion. Comput. Math. and Math. Phys. 52, 1597–1602 (2012). https://doi.org/10.1134/S096554251212010X

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