Numerical Inversion of Laplace Transforms

  • B. Davies
Part of the Applied Mathematical Sciences book series (AMS, volume 25)

Abstract

There are many problems whose solution may be found in terms of a Laplace or Fourier transform, which is then too complicated for inversion using the techniques of complex analysis. In this section we discuss some of the methods which have been developed — and in some cases are still being developed — for the numerical evaluation of the Laplace inversion integral. We make no explicit reference to inverse Fourier transforms, although they may obviously be treated by similar methods, because of the close relationship between the two transforms.

Keywords

Convolution Abate 

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Footnotes

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    A more comprehensive survey and evaluation may be found in B. Davies and B. Martin, J. Comp. Phys. (1979), 33 MathSciNetMATHCrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • B. Davies
    • 1
  1. 1.Department of MathematicsThe Australian National UniversityCanberraAustralia

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