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Numerical Methods for Laplace Transform Inversion (Numerical Methods and Algorithms)

Alan M. Cohen

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ISBN 10: 1441939318 / ISBN 13: 9781441939319
Published by Springer, 2010
Condition: Good Soft cover
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Bibliographic Details

Title: Numerical Methods for Laplace Transform ...

Publisher: Springer

Publication Date: 2010

Binding: Paperback

Book Condition: Good

About this title

Synopsis:

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. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

From the Back Cover:

Operational methods have been used for over a century to solve many problems―for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of the given problem. Sometimes, after some difficult contour integration, we find that a series solution results, but even 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 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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This book is intended for engineers, scientists, mathematicians, statisticians and financial planners.

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