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RESEARCH PAPERS

A Technique for Increasing the Accuracy of the Numerical Inversion of the Laplace Transform With Applications

[+] Author and Article Information
B. S. Berger, S. Duangudom

Department of Mechanical Engineering, University of Maryland, College Park, Md.

J. Appl. Mech 40(4), 1110-1112 (Dec 01, 1973) (3 pages) doi:10.1115/1.3423135 History: Received April 01, 1972; Online July 12, 2010

Abstract

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.

Copyright © 1973 by ASME
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