Improvement of accuracy in numerical methods for inverting Laplace transforms based on the Post-Widder formula
From MaRDI portal
Publication:1806592
DOI10.1016/S0898-1221(98)00147-3zbMath0932.65132MaRDI QIDQ1806592
Publication date: 15 March 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
numerical examplesPadé approximationextrapolation to the limitPost-Widder formulanumerical inversion of Laplace transformsGaver-Stehfest method
Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)
Related Items
Impulsive displacement of a quasi-linear viscoelastic material through accurate numerical inversion of the Laplace transform ⋮ The computation of the probability density and distribution functions for some families of random variables by means of the Wynn-ρ accelerated Post-Widder formula ⋮ Numerical computation of first-passage times of increasing Lévy processes ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ A Technique for Computing the PDFs and CDFs of Nonnegative Infinitely Divisible Random Variables ⋮ Comparison of sequence accelerators for the Gaver method of numerical Laplace transform inversion ⋮ A problem of numerical inversion of implicitly defined Laplace transforms ⋮ Numerical inversion of the Laplace transform from the real axis ⋮ Analytical and numerical inversion of the Laplace-Carson transform by a differential method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical inversion of the Laplace transform: a survey and comparison of methods
- A method for the numerical inversion of Laplace transforms
- Sequence transformations and their applications
- Laguerre transformation as a tool for the numerical solution of integral equations of convolution type
- The Fourier-series method for inverting transforms of probability distributions
- Multidimensional transform inversion with applications to the transient \(M/G/1\) queue
- A problem of numerical inversion of implicitly defined Laplace transforms
- Numerical treatment of ordinary differential equations by extrapolation methods
- Asymptotic upper and lower bounds for results of extrapolation methods
- An Inversion Technique for the Laplace Transform
- An Inversion Technique for the Laplace Transform with Application to Approximation
- Numerical Inversion of Laplace Transforms of Probability Distributions
- On Extrapolation Algorithms for Ordinary Initial Value Problems
- Survey of Extrapolation Processes in Numerical Analysis
