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Numerical Methods for Laplace Transform Inversion
Buch von Alan M. Cohen
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2007
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Numerical Methods and Algorithms
Inhalt: xiv
252 S.
25 s/w Illustr.
252 p. 25 illus.
ISBN-13: 9780387282619
ISBN-10: 0387282610
Sprache: Englisch
Herstellernummer: 11539131
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Cohen, Alan M.
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Numerical Methods and Algorithms
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 20 mm
Von/Mit: Alan M. Cohen
Erscheinungsdatum: 16.07.2007
Gewicht: 0,571 kg
Artikel-ID: 102028592
Zusammenfassung

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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2007
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Numerical Methods and Algorithms
Inhalt: xiv
252 S.
25 s/w Illustr.
252 p. 25 illus.
ISBN-13: 9780387282619
ISBN-10: 0387282610
Sprache: Englisch
Herstellernummer: 11539131
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Cohen, Alan M.
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Numerical Methods and Algorithms
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 20 mm
Von/Mit: Alan M. Cohen
Erscheinungsdatum: 16.07.2007
Gewicht: 0,571 kg
Artikel-ID: 102028592
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