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Algorithm 796: a Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method

Editor: Ronald F. Boisvert Authors:

Luisa D'Amore,

Guiliano Laccetti,

Almerico MurliAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 25, Issue 3

Pages 306 - 315

https://doi.org/10.1145/326147.326149

Published: 01 September 1999 Publication History

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Abstract

A software package for the numerical inversion of a Laplace Transform function is described. Besides function values of F (z) for complex and real z, the user has only to provide the numerical value of the Laplace convergence abscissa σ₀ or, failing this, an upper bound to this quantity, and the accuracy he or she requires in the computed value of the inverse Transform. The method implemented is based on a Fourier series expansion of the inverse transform, and it is especially suitable when such inverse Laplace Transform is sectionally continuous.

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D'AMORE, L., LACCETTI, G., AND MURLI, A. 1999. An implementation of a Fourier series method for the numerical inversion of the Laplace Transform. ACM Trans. Math. Softw. 25, 3 (Sept.).

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Algorithm 796: a Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method

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Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 25, Issue 3

Sept. 1999

96 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/326147

Editor:
Ronald F. Boisvert
National Institute of Standards d Technology, Gaithersburg, MD

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 September 1999

Published in TOMS Volume 25, Issue 3

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https://doi.org/10.1109/EEEIC/ICPSEurope57605.2023.10194759
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Algorithm 946: ReLIADiff—A C++ Software Package for Real Laplace Transform Inversion based on Algorithmic Differentiation

An implementation of a Fourier series method for the numerical inversion of the Laplace transform

Algorithm 486: Numerical inversion of Laplace transform [D5]

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