Numerical methods for Laplace transform inversion
著者
書誌事項
Numerical methods for Laplace transform inversion
（Numerical methods and algorithms, v. 5）
Springer, c2007
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注記
Includes bibliographical references and index
"Numerical algorithms" -- Cover
内容説明・目次
内容説明
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. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.
目次
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.
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