Numerical Methods for Laplace Transform Inversion

  • Alan M. Cohen

Part of the Numerical Methods and Algorithms book series (NUAL, volume 5)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Alan M. Cohen
    Pages 1-22
  3. Alan M. Cohen
    Pages 23-44
  4. Alan M. Cohen
    Pages 45-70
  5. Alan M. Cohen
    Pages 71-101
  6. Alan M. Cohen
    Pages 103-120
  7. Alan M. Cohen
    Pages 121-139
  8. Alan M. Cohen
    Pages 147-155
  9. Alan M. Cohen
    Pages 157-168
  10. Alan M. Cohen
    Pages 169-196
  11. Alan M. Cohen
    Pages 197-229
  12. Back Matter
    Pages 231-251

About this book

Introduction

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.

 

Audience

This book is intended for engineers, scientists, mathematicians, statisticians and financial planners.

Keywords

Koordinatentransformation Laplace transform inversion Numerical methods differential equation integration numerical method partial differential equation

Authors and affiliations

  • Alan M. Cohen
    • 1
  1. 1.Cardiff UniversityCardiff

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-68855-8
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-28261-9
  • Online ISBN 978-0-387-68855-8
  • Series Print ISSN 1571-5698
  • About this book