Algorithm 619: automatic numerical inversion of the Laplace transform [D5]

DOI10.1145/1271.319416zbMath0546.65087OpenAlexW2094315243MaRDI QIDQ3336642

Rudi Huysmans, Robert Piessens

Publication date: 1984

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1271.319416

zbMATH Keywords

Fourier series methodepsilon algorithmcomplex inversion formulaautomatic numerical inversionFORTRAN-subroutine

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10)

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Uses Software

• Algorithm 619

Cites Work

• Numerical inversion of the Laplace transform: a survey and comparison of methods
• A bibliography on numerical inversion of the Laplace transform and applications
• A bibliography on numerical inversion of the Laplace transform and applications: A supplement
• An Improved Method for Numerical Inversion of Laplace Transforms
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
• On a Device for Computing the e m (S n ) Transformation