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| Título : |
Numerical Methods for Laplace Transform Inversion |
| Tipo de documento: |
documento electrónico |
| Autores: |
Alan M. Cohen ; SpringerLink (Online service) |
| Editorial: |
Boston, MA : Springer US |
| Fecha de publicación: |
2007 |
| Colección: |
Numerical Methods and Algorithms, ISSN 1571-5698 num. 5 |
| Número de páginas: |
XIV, 252 p. 25 illus |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-387-68855-8 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Integral transforms Operational calculus Applied mathematics Engineering Transforms, Calculus Appl.Mathematics/Computational Methods of |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/978-0-387-68855-8 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34510 |
Numerical Methods for Laplace Transform Inversion [documento electrónico] / Alan M. Cohen ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XIV, 252 p. 25 illus : online resource. - ( Numerical Methods and Algorithms, ISSN 1571-5698; 5) . ISBN : 978-0-387-68855-8 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Integral transforms Operational calculus Applied mathematics Engineering Transforms, Calculus Appl.Mathematics/Computational Methods of |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/978-0-387-68855-8 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34510 |
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