Algorithm 796 swMATH ID: 4665 Software Authors: D'Amore, Luisa; Laccetti, Giuliano; Murli, Almerico Description: Algorithm 796: A Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method A software package for the numerical inversion of a Laplace transform function is described [cf. the authors, ibid. 25, No. 3, 279-305 (1999; reviewed above)]. 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. Homepage: http://dl.acm.org/citation.cfm?id=326149 Keywords: Fortran software package; algorithms; automatic stopping criterion; Laplace transform inversion; Fourier series methods Related Software: Algorithm 682; Algorithm 662; ReLaTIve; Algorithm 368; ReLIADiff; InvertLT; TADIFF; mctoolbox; PERFIDI; Algorithm 619; CONTIN; Mathematica Cited in: 7 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 796: A Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method. Zbl 0962.65110D’Amore, Luisa; Laccetti, Giuliano; Murli, Almerico 1999 all top 5 Cited by 10 Authors 5 D’Amore, Luisa 4 Murli, Almerico 2 Campagna, Rosanna 2 Mele, Valeria 2 Rizzardi, Mariarosaria 1 Bykov, A. M. 1 Kaastra, J. S. 1 Laccetti, Giuliano 1 Mishra, Vinod Kumar 1 Rani, Dimple all top 5 Cited in 6 Serials 2 ACM Transactions on Mathematical Software 1 Astronomy and Astrophysics 1 Inverse Problems 1 Ricerche di Matematica 1 Numerical Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences Cited in 4 Fields 5 Integral transforms, operational calculus (44-XX) 5 Numerical analysis (65-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year