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
大学図書館所蔵 全7件
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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