Numerical methods for Laplace transform inversion
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 t...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer
c2007.
|
| Edición: | 1st ed. 2007. |
| Colección: | Numerical methods and algorithms ;
v. 5. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461405706719 |
| Sumario: | 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. |
|---|---|
| Notas: | Description based upon print version of record. |
| Descripción Física: | 1 online resource (265 p.) |
| Bibliografía: | Includes bibliography (p. [231]-248) and index. |
| ISBN: | 9781280943591 9786610943593 9780387688558 |
