Numerical Inversion of Laplace Transforms

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


There are many problems whose solutions may be found in terms of Laplace or Fourier transforms which are 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.


Special Technique Chebyshev Polynomial Inverse Fourier Transform Numerical Inversion Laplace Inversion 
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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • B. Davies
    • 1
  1. 1.The Australian National UniversityCanberraAustralia

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