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Numerical Methods for Laplace Transform Inversion

Numerical Methods for Laplace Transform Inversion

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Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the Laplace transform, but very difficult to determine the inverse Laplace transform that is the solution of a given problem. Sometimes, after a difficult contour integration, we may find that a series solution results, but this may be quite difficult to evaluate in order to get an answer at a particular time value. The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms.

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Pub dateJul 16, 2007
ISBN-100387282610
ISBN-139780387282619
LanguageEnglish
Last updated 2026-03-12 00:48
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