The Multidata Method of Approximate LaPLACE Transform Inversion

摘要

A newly developed approximate Laplace transform inversion method is described. A derivation of the method, termed the multidata method, is presented along with a derivation of Schapery's collocation method. Similarities and differences between the two methods are described and discussed. Results of parameter studies of both methods are presented which demonstrate the sensitivity to error displayed by the collocation method and the improved accuracy obtainable with the multidata method as compared with the collocation method when errors exist in the function to be inverted. Computer program listings and operating instructions for both methods are presented. (Author)