Computation of the inverse Laplace transform based on a collocation method which uses only real values

DOI10.1016/j.cam.2005.11.017zbMath1105.65120OpenAlexW2065548758MaRDI QIDQ2433784

Salvatore Cuomo, Almerico Murli, Mariarosaria Rizzardi, Luisa D'Amore

Publication date: 30 October 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.11.017

zbMATH Keywords

algorithminverse problemnumerical exampleserror analysisconditioningill-posed problemroundoff errorsLaguerre series expansionLaplace transform real inversion

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

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Uses Software

• Algorithm 662

Cites Work

• Numerical Laplace inversion in rheological characterization
• More on the Weeks method for the numerical inversion of the Laplace transform
• Error analysis of the Rjabov algorithm for inverting Laplace transforms
• An analysis of bilinear transform polynomial methods of inversion of Laplace transforms
• Stability Analysis of Algorithms for Solving Confluent Vandermonde-Like Systems
• Software for an implementation of Weeks' method for the inverse Laplace transform
• On the numerical inversion of the Laplace transform
• A stable inversion scheme for the Laplace transform using arbitrarily distributed data scanning points
• An implementation of a Fourier series method for the numerical inversion of the Laplace transform
• Solution of Vandermonde systems of equations
• Unnamed Item