ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion. A software package for numerical inversion of Laplace transforms computable everywhere on the real axis is described. Besides the function to invert the user has only to provide the numerical value (even if it is an approximate value) of the abscissa of convergence and the accuracy required for the inverse function. The software provides a controlled accuracy, i.e. it dynamically computes the so-called maximum attainable accuracy such that numerical results are provided within the greatest value between the user’s required accuracy and the maximum attainable accuracy. This is done because the intrinsic ill posedness of the real inversion problem sometime may prevent to reach the desired accuracy. The method implemented is based on a Laguerre polynomial series expansion of the inverse function and belongs to the class of polynomial-type methods of inversion of the Laplace transform, formally characterized as collocation methods (C-methods).
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References in zbMATH (referenced in 8 articles )
Showing results 1 to 8 of 8.
- Campagna, Rosanna; Conti, Costanza; Cuomo, Salvatore: Computational error bounds for Laplace transform inversion based on smoothing splines (2020)
- Ji, Tianfu; Hou, Jianhua: Numerical solution of the Bagley-Torvik equation using Laguerre polynomials (2020)
- D’Amore, Luisa; Mele, Valeria; Campagna, Rosanna: Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case (2018)
- Wang, Tongke; Gu, Yuesheng; Zhang, Zhiyue: An algorithm for the inversion of Laplace transforms using Puiseux expansions (2018)
- Raoofian Naeeni, M.; Campagna, R.; Eskandari-Ghadi, M.; Ardalan, Alireza A.: Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems (2015)
- D’Amore, Luisa: Remarks on numerical algorithms for computing the inverse Laplace transform (2014)
- 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)
- D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico; Rizzardi, Mariarosaria: ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion (2013)