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 14 articles )

Showing results 1 to 14 of 14.
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  1. D’Amore, Luisa; Mele, Valeria; Campagna, Rosanna: Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case (2018)
  2. 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)
  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. Selivanov, M. F.; Chornoivan, Y. O.: Computational optimization of characteristics for composites of viscoelastic components (2012)
  5. Selivanov, Mikhail F.; Chernoivan, Yuri A.: A combined approach of the Laplace transform and Padé approximation solving viscoelasticity problems (2007)
  6. Carlès, Pierre: Thermoacoustic waves near the liquid-vapor critical point (2006)
  7. Makroglou, A.: Integral equations and actuarial risk management: some models and numerics (2003)
  8. D’Amore, Luisa; Laccetti, Giuliano; Murli, Almerico: An implementation of a Fourier series method for the numerical inversion of the Laplace transform (1999)
  9. Abate, Joseph; Choudhury, Gagan L.; Whitt, Ward: On the Laguerre method for numerically inverting Laplace transforms (1996)
  10. Huang, Yufeng; Bau, Haim H.: Thermoacoustic waves in a semi-infinite medium (1995)
  11. Luxon, Bruce A.; Weisiger, Richard A.: Extending the multiple indicator dilution method to include slow intracellular diffusion (1993)
  12. Abate, Joseph; Whitt, Ward: The Fourier-series method for inverting transforms of probability distributions (1992)
  13. Abate, Joseph; Whitt, Ward: Transient behavior of regulated Brownian motion. I: Starting at the origin (1987)
  14. Piessens, Robert; Huysmans, Rudi: Automatic numerical inversion of the Laplace transform (1984)