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Numerical Methods and Algorithms Ser.: Numerical Methods for Laplace Transform Inversion by Alan M. Cohen (2007, Hardcover)

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Number of Pages: 252. Weight: 1.23 lbs. Publication Date: 2007-07-16. Publisher: Springer.

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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.

Product Identifiers

Publisher
Springer
ISBN-10
0387282610
ISBN-13
9780387282619
eBay Product ID (ePID)
49214677

Product Key Features

Author
Alan M. Cohen
Publication Name
Numerical Methods for Laplace Transform Inversion
Format
Hardcover
Language
English
Publication Year
2007
Series
Numerical Methods and Algorithms Ser.
Type
Textbook
Number of Pages
Xiv, 252 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
20.1 Oz

Additional Product Features

Series Volume Number
5
Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Reviews
From the reviews: "This book gives background material on the theory of Laplace transforms together with a comprehensive list of numerical methods for determination of the inverse Laplace transform. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. It provides a balanced course of Laplace transforms consisting of theory, numerical techniques and applications. ... This book may be a useful tool for all those who use Laplace transforms in their work whether they are mathematicians, engineers or financial planners." (Som Prakash Goyal, Zentralblatt MATH, Vol. 1127 (4), 2008) "In this book, Alan M. Cohen summarizes known results related to numerical methods. The book starts with basic analytic theory of the Laplace transform. ... The book provides a large amount of carefully selected and clearly explained examples, and seems to be ideal for self-study or preparing students' courses for different levels. By gathering various information on the Laplace transform in one place, the author has created a standard reference source." (Alexander Denisjuk, Mathematical Reviews, Issue 2009 c), From the reviews:"This book gives background material on the theory of Laplace transforms together with a comprehensive list of numerical methods for determination of the inverse Laplace transform. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. It provides a balanced course of Laplace transforms consisting of theory, numerical techniques and applications. â€¦ This book may be a useful tool for all those who use Laplace transforms in their work whether they are mathematicians, engineers or financial planners." (Som Prakash Goyal, Zentralblatt MATH, Vol. 1127 (4), 2008)"In this book, Alan M. Cohen summarizes known results related to numerical methods. The book starts with basic analytic theory of the Laplace transform. â€¦ The book provides a large amount of carefully selected and clearly explained examples, and seems to be ideal for self-study or preparing students' courses for different levels. By gathering various information on the Laplace transform in one place, the author has created a standard reference source." (Alexander Denisjuk, Mathematical Reviews, Issue 2009 c)
Table of Content
Basic Results.- Inversion Formulae and Practical Results.- The Method of Series Expansion.- Quadrature Methods.- Rational Approximation Methods.- The Method of Talbot.- Methods based on the Post-Widder Inversion Formula.- The Method of Regularization.- Survey Results.- Applications.
Copyright Date
2007
Topic
Engineering (General), Transformations, Applied, Mathematical Analysis
Lccn
2006-940349
Dewey Decimal
515.723
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Technology & Engineering, Mathematics

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Numerical Methods and Algorithms Ser.: Numerical Methods for Laplace Transform Inversion by Alan M. Cohen (2007, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Numerical Methods For Laplace Transform Inversion

item 2 Numerical Methods for Laplace Transform Inversion by Alan M. Cohen (English) Har

Best Selling in Textbooks

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