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＜電子ブック＞
Numerical Methods for Laplace Transform Inversion / by Alan M. Cohen
(Numerical Methods and Algorithms ; 5)

版	1st ed. 2007.
出版者	New York, NY : Springer US : Imprint: Springer
出版年	2007
本文言語	英語
大きさ	XIV, 252 p. 25 illus : online resource
著者標目	*Cohen, Alan M author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Integral Transforms and Operational Calculus FREE:Mathematical and Computational Engineering Applications
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-0-387-68855-8

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