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

Title:
Algorithm 796: a Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method
Authors:
D'AMORE, LUISA, LACCETTI, GIULIANO, MURLI, ALMERICO
Source:
ACM Transactions on Mathematical Software. 25:306-315
Publisher Information:
Association for Computing Machinery (ACM), 1999.
Publication Year:
1999
Subject Terms:
Laplace transform, 4. Education, automatic stopping criterion, Laplace transform inversion, Packaged methods for numerical algorithms, Fourier series methods, 0101 mathematics, algorithms, 01 natural sciences, Numerical methods for integral transforms, Fortran software package
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1557-7295
0098-3500
DOI:
10.1145/326147.326149
Access URL:
http://hdl.handle.net/11588/310352
https://dblp.uni-trier.de/db/journals/toms/toms25.html#DAmoreLM99a
https://dialnet.unirioja.es/servlet/articulo?codigo=2646253
https://dl.acm.org/doi/10.1145/326147.326149
https://doi.org/10.1145/326147.326149
https://hdl.handle.net/11588/310352
Rights:
URL: https://www.acm.org/publications/policies/copyright_policy#Background
Accession Number:
edsair.doi.dedup.....d0a3f3c20a967f24fefab47f14b1cf14
Database:
OpenAIRE

Further Information

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 σ 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.