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Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus

Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus

Abstract In the paper we present results of accuracy evaluation of numerous numerical algorithms for the numerical approximation of the Inverse Laplace Transform. The selected algorithms represent diverse lines of approach to this problem and include methods by Stehfest, Abate and Whitt, Vlach and Singhai, De Hoog, Talbot, Zakian and …