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

DOI10.1145/326147.326148zbMath0962.65109OpenAlexW2006680904WikidataQ113310067 ScholiaQ113310067MaRDI QIDQ4518211

Almerico Murli, Giuliano Laccetti, Luisa D'Amore

Publication date: 20 June 2001

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/326147.326148

zbMATH Keywords

Laplace transform inversionautomatic stopping criterionFourier series methodsRiemann inversion formulatrapezoidal rule approximation

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10)

Related Items

Numerical inversion for Laplace transforms of functions with discontinuities ⋮ Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case ⋮ Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems ⋮ Computation of the inverse Laplace transform based on a collocation method which uses only real values ⋮ ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ Remarks on numerical algorithms for computing the inverse Laplace transform ⋮ An algorithm for the inversion of Laplace transforms using Puiseux expansions ⋮ Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations ⋮ Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method ⋮ Algorithm 946

Uses Software

• Algorithm 662
• Algorithm 619