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On the construction of quadrature rules for Laplace transform inversion

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Abstract

For Laplace transform inversion, a method for constructing quadrature rules of the highest degree of accuracy based on an asymptotic distribution of roots of special orthogonal polynomials on the complex plane is proposed.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, 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, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 11, pp. 1782–1787.

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Lebedeva, A.V., Ryabov, V.M. On the construction of quadrature rules for Laplace transform inversion. Comput. Math. and Math. Phys. 57, 1751–1756 (2017). https://doi.org/10.1134/S0965542517110094

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