Numerical inversion of the Laplace transform using generalised Laguerre polynomials

Abstract

The calculation of the transient response corresponding to a given frequency response is a problem of numerical inversion of a Laplace transform. Two methods are presented: a very economical method, which is suitable only for a limited class of Laplace transforms, and a general method. FORTRAN programs for both methods are described. The general method is compared with other general methods.