## ReLaTIve

swMATH ID: | 7068 |

Software Authors: | D'Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico |

Description: | 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). |

Homepage: | http://rd.springer.com/article/10.1007%2Fs11075-012-9636-0 |

Related Software: | Algorithm 662; Algorithm 368; ReLIADiff; Algorithm 619; InvertLT; mctoolbox; Algorithm 682; Algorithm 796; TADIFF; ma2dfc; Talbot Suite; DLMF; PERFIDI; CONTIN; Mathematica |

Cited in: | 8 Publications |

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top 5

### Cited by 14 Authors

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### Cited in 6 Serials

### Cited in 4 Fields

8 | Numerical analysis (65-XX) |

5 | Integral transforms, operational calculus (44-XX) |

1 | Ordinary differential equations (34-XX) |

1 | Computer science (68-XX) |