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zbMATH Open
Article . 2017
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Algorithm 981

Talbot Suite DE: Application of Modified Talbot’s Method to Solve Differential Problems
Authors: RIZZARDI, Mariarosaria;
Abstract

In order to solve a differential problem, the Laplace Transform method , when applicable, replaces the problem with a simpler one; the solution is obtained by solving the new problem and then by computing the inverse Laplace Transform of this function. In a numerical context, since the solution of the transformed problem consists of a sequence of Laplace Transform samples, most of the software for the numerical inversion cannot be used since the transform, among parameters, must be passed as a function. To fill this gap, we present Talbot Suite DE, a C software collection for Laplace Transform inversions, specifically designed for these problems and based on Talbot’s method . It contains both sequential and parallel implementations; the latter is accomplished by means of OpenMP. We also report some performance results. Aimed at non-expert users, the software is equipped with several examples and a User Guide that includes the external documentation, explains how to use all the sample code, and reports its results about accuracy and efficiency. Some examples are entirely in C and others combine different programming languages (C/MATLAB, C/FORTRAN). The User Guide also contains useful hints to avoid possible errors issued during the compilation or execution of mixed-language code.

Related Organizations
Keywords

Laplace transform, inverse Laplace transform, Talbot's method, Packaged methods for numerical algorithms, parallel algorithms, Mathematics of computing → Mathematical software performance; Theory of computation → Shared memory algorithms; Computing methodologies → Shared memory algorithms, Numerical methods for integral transforms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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