Numerical Methods for Laplace Transform Inversion

Alan M. Cohen

ISBN 10: 0387282610 / ISBN 13: 9780387282619

Edité par Springer US, Springer New York, 2007

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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, while it is very demanding to determine the inverse Laplace transform that is the solution of a given problem. Sometimes, after some 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.

N° de réf. du vendeur 9780387282619

Détails bibliographiques

• Titre: Numerical Methods for Laplace Transform Inversion
• Éditeur: Springer US, Springer New York
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0387282610
• ISBN à 13 chiffres: 9780387282619
• Reliure: Buch
• État de l'article: Neu

A propos de ce titre

Synopsis

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.