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This document reviews inverse Laplace transform algorithms for use in Laplace-space numerical methods. It compares five inverse Laplace transform algorithms (Stehfest, Schapery, Weeks, Talbot, de Hoog et al.) by applying them to the solution of a 2D diffusion equation using a boundary element method in Laplace space. The author finds that Fourier-series based algorithms work well for common time behaviors, are robust, and allow re-use of Laplace space evaluations across time, making them best suited for Lap

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dah7542gmail
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