Algorithm 796

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. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.

Keywords for this software

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References in zbMATH (referenced in 6 articles , 1 standard article )

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  1. D’Amore, Luisa: Remarks on numerical algorithms for computing the inverse Laplace transform (2014)
  2. D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico: Algorithm 946: ReLIADiff -- a C++ software package for real Laplace transform inversion based on algorithmic differentiation (2014)
  3. D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico; Rizzardi, Mariarosaria: ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion (2013)
  4. Kaastra, J. S.; Bykov, A. M.; Werner, N.: Non-Maxwellian electron distributions in clusters of galaxies (2009)
  5. D’Amore, L.; Murli, A.; Rizzardi, M.: An extension of the Henrici formula for Laplace transform inversion (2000)
  6. D’Amore, Luisa; Laccetti, Giuliano; Murli, Almerico: Algorithm 796: A Fortran software package for the numerical inversion of the Laplace transform based on a Fourier series method (1999)