Multi‐precision Laplace transform inversion

By Joseph Abate, P. Valko. 2004

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A Unified Framework for Numerically Inverting Laplace Transforms (2006, methodology): “For the Gaver and Talbot algorithms, we draw extensively upon Abate and Valko (2004); see Section 4 for supporting details.”
The Theory of Scale Functions for Spectrally Negative Lévy Processes (2011, methodology): “Again, we refer to [1, 3] and [33] for all the details, and present here only the final form of the approximation”
On different numerical inverse Laplace methods for solute transport problems (2015, methodology): “Abate and Valkó [46] presented two such procedures of inverse Laplace transform, the Gaver–Wynn–Rho algorithm and the fixed Talbot method, and pointed out that both worked very well for inversion when using multi-precision computing.”
Numerical Inversion of the Laplace Transform (2005, methodology): “A comparison of sequence accelerators for the Gaver method was given by Valkó and Abate [20].”