A modification of the Weeks method for numerical inversion of the Laplace transform-Reference-Cited by-同舟云学术

A modification of the Weeks method for numerical inversion of the Laplace transform

Published:1986 Issue:175 Volume:47 Page:313-322
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lyness J. N.,Giunta G.

Abstract

The Weeks method for calculating numerical values of f ( t ) f(t) from its Laplace transform F ( s ) F(s) involves the numerical evaluation of a set of contour integrals. In this paper, we describe a powerful modification, by means of which results of comparable accuracy can be obtained using approximately half the number of complex function values. This and other possible minor modifications are discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1986-47-175/S0025-5718-1986-0842138-1/S0025-5718-1986-0842138-1.pdf

Reference2 articles.

1. Numerical inversion of the Laplace transform using generalised Laguerre polynomials;Piessens, R.;Proc. Inst. Electr. Engrs.,1971

2. Numerical inversion of Laplace transforms using Laguerre functions;Weeks, William T.;J. Assoc. Comput. Mach.,1966

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