Algorithm 619

Automatic numerical inversion of the Laplace transform This paper discusses a FORTRAN-subroutine for automatic numerical inversion of the Laplace transform based on the Fourier series method.

This software is also peer reviewed by journal TOMS.

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References in zbMATH (referenced in 13 articles )

Showing results 1 to 13 of 13.
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  1. 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)
  2. D’Amore, Luisa; Campagna, Rosanna; Mele, Valeria; Murli, Almerico: ReLaTIve. An Ansi C90 software package for the Real Laplace Transform Inversion (2013)
  3. Selivanov, M.F.; Chornoivan, Y.O.: Computational optimization of characteristics for composites of viscoelastic components (2012)
  4. Selivanov, Mikhail F.; Chernoivan, Yuri A.: A combined approach of the Laplace transform and Padé approximation solving viscoelasticity problems (2007)
  5. Carlès, Pierre: Thermoacoustic waves near the liquid-vapor critical point (2006)
  6. Makroglou, A.: Integral equations and actuarial risk management: some models and numerics (2003)
  7. D’Amore, Luisa; Laccetti, Giuliano; Murli, Almerico: An implementation of a Fourier series method for the numerical inversion of the Laplace transform (1999)
  8. Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward: On the Laguerre method for numerically inverting Laplace transforms (1996)
  9. Huang, Yufeng; Bau, Haim H.: Thermoacoustic waves in a semi-infinite medium (1995)
  10. Luxon, Bruce A.; Weisiger, Richard A.: Extending the multiple indicator dilution method to include slow intracellular diffusion (1993)
  11. Abate, Joseph; Whitt, Ward: The Fourier-series method for inverting transforms of probability distributions (1992)
  12. Abate, Joseph; Whitt, Ward: Transient behavior of regulated Brownian motion. I: Starting at the origin (1987)
  13. Piessens, Robert; Huysmans, Rudi: Automatic numerical inversion of the Laplace transform (1984)