A technique is introduced which extends the range of useful approximation of numerical inversion techniques to many cycles of an oscillatory function without requiring either the evaluation of the image function for many values of s or the computation of higher-order terms. The technique consists in reducing a given initial value problem defined over some interval into a sequence of initial value problems defined over a set of subintervals. Several numerical examples demonstrate the utility of the method.
A Technique for Increasing the Accuracy of the Numerical Inversion of the Laplace Transform With Applications
Berger, B. S., and Duangudom, S. (December 1, 1973). "A Technique for Increasing the Accuracy of the Numerical Inversion of the Laplace Transform With Applications." ASME. J. Appl. Mech. December 1973; 40(4): 1110–1112. https://doi.org/10.1115/1.3423135
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