An accurate numerical inversionof Laplace transforms based on the location of their poles

DOI10.1016/j.camwa.2004.08.003zbMath1069.65143OpenAlexW2055293738MaRDI QIDQ1779574

Dongwoo Sheen, Jin Woo Lee

Publication date: 1 June 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.08.003

zbMATH Keywords

algorithmsnumerical integrationnumerical exampleserror boundsinverse Laplace transformquadrature rulesBromwich's integrals

Mathematics Subject Classification ID

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

Related Items (max. 100)

Unnamed Item ⋮ Higher-order schemes for the Laplace transformation method for parabolic problems ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ An algorithm for the inversion of Laplace transforms using Puiseux expansions ⋮ Numerical inverse Laplace transform for solving a class of fractional differential equations

Uses Software

• Algorithm 682

Cites Work

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• Numerical inversion of the Laplace transform: a survey and comparison of methods
• Semigroups of linear operators and applications to partial differential equations
• More on the Weeks method for the numerical inversion of the Laplace transform
• Integral transforms and their applications
• Computing the zeros of analytic functions
• A Modification of the Weeks Method for Numerical Inversion of the Laplace Transform
• Numerical Comparisons of Nonlinear Convergence Accelerators
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• The Accurate Numerical Inversion of Laplace Transforms
• On the numerical inversion of Laplace transforms
• Algorithm 682: Talbot's method of the Laplace inversion problems
• A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
• Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform
• A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
• Development of non-linear transformations for improving convergence of sequences
• Numerical Inversion of Laplace Transforms Using Laguerre Functions
• On a Device for Computing the e m (S n ) Transformation

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