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

Authors:
Luisa D'Amore;Guiliano Laccetti;Almerico Murli
Affiliations:
Italian National Research Council and Univ. of Naples “Federico II”, Naples, Italy;Italian National Research Council and Univ. of Naples “Federico II”, Naples, Italy;Italian National Research Council and Univ. of Naples “Federico II”, Naples, Italy
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1999

Citing 1
Cited 2

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

ACM Transactions on Mathematical Software (TOMS)

Short note: KGS-HighK: A Fortran 90 program for simulation of hydraulic tests in highly permeable aquifers

Computers & Geosciences
ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion

Numerical Algorithms

Quantified Score

Hi-index	0.00

Visualization

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 &sgr;0 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.