Publication: A Modification of Weeks' Method for Numerical Inversion of the Laplace Transform in the Real Case Based on Automatic Differentiation
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A Modification of Weeks' Method for Numerical Inversion of the Laplace Transform in the Real Case Based on Automatic Differentiation

- incollection -
 

Author(s)
Salvatore Cuomo , Luisa D'Amore , Mariarosaria Rizzardi , Almerico Murli

Published in
Advances in Automatic Differentiation

Editor(s)
Christian H. Bischof, H. Martin Bücker, Paul D. Hovland, Uwe Naumann, J. Utke

Year
2008

Publisher
Springer

Abstract
Numerical inversion of the Laplace transform on the real axis is an inverse and ill-posed problem. We describe a powerful modification of Weeks' Method, based on automatic differentiation, to be used in the real inversion. We show that the automatic differentiation technique assures accurate and efficient numerical computation of the inverse Laplace function.

Cross-References
Bischof2008AiA

AD Tools
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BibTeX
@INCOLLECTION{
         Cuomo2008AMo,
       title = "A Modification of Weeks' Method for Numerical Inversion of the {L}aplace
         Transform in the Real Case Based on Automatic Differentiation",
       doi = "10.1007/978-3-540-68942-3_5",
       author = "Salvatore Cuomo and Luisa D'Amore and Mariarosaria Rizzardi and Almerico Murli",
       abstract = "Numerical inversion of the Laplace transform on the real axis is an inverse and
         ill-posed problem. We describe a powerful modification of Weeks' Method, based on automatic
         differentiation, to be used in the real inversion. We show that the automatic differentiation
         technique assures accurate and efficient numerical computation of the inverse Laplace function.",
       crossref = "Bischof2008AiA",
       pages = "45--54",
       booktitle = "Advances in Automatic Differentiation",
       publisher = "Springer",
       editor = "Christian H. Bischof and H. Martin B{\"u}cker and Paul D. Hovland and Uwe
         Naumann and J. Utke",
       isbn = "978-3-540-68935-5",
       issn = "1439-7358",
       year = "2008",
       ad_tools = "FADBAD/TADIFF"
}


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