A bibliography on numerical inversion of the laplace transform and applications: A supplement
Robert Piessens,N.D.P. Dang +1 more
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This article is published in Journal of Computational and Applied Mathematics.The article was published on 1976-09-01 and is currently open access. It has received 43 citations till now. The article focuses on the topics: Laplace transform applied to differential equations & Inverse Laplace transform.read more
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The Fourier-series method for inverting transforms of probability distributions
Joseph Abate,Ward Whitt +1 more
TL;DR: This paper reviews the Fourier-series method for calculating cumulative distribution functions (cdf's) and probability mass functions (pmf's) by numerically inverting characteristic functions, Laplace transforms and generating functions and describes two methods for inverting Laplace transform based on the Post-Widder inversion formula.
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Numerical Inversion of the Laplace Transform: A Survey and Comparison of Methods
Brian Davies,Brian Martin +1 more
TL;DR: In this paper, a large number of different methods for numerically inverting the Laplace transform are tested and evaluated according to the criteria of applicability to actual inversion problems, applicability of various types of functions, numerical accuracy, computational efficiency, and ease of programming and implementation.
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Numerical operational methods for time‐dependent linear problems
G.V. Narayanan,Dimitri E. Beskos +1 more
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Recent advances in modeling of well hydraulics
Hund-Der Yeh,Ya Chi Chang +1 more
TL;DR: In this paper, a review of analytical, semi-analytical, numerical and approximate methods in solving the well-hydraulic problems is presented, including the incorporation of effects of finite well radius, wellbore storage, well partial penetration, and the presence of skin into various practical problems of groundwater flow.
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A new approach to the heat equation — An application of the decomposition method
TL;DR: Adomian and Bellman as mentioned in this paper proposed a decomposition method for nonlinear stochastic operator equations to solve the heat equation, and applied it to the problem of heat equation decomposition.
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Numerical Inversion of the Laplace Transform: A Survey and Comparison of Methods
Brian Davies,Brian Martin +1 more