numerical inversion of laplace transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg74827] numerical inversion of laplace transform*From*: "dantimatter" <dantimatter at gmail.com>*Date*: Sat, 7 Apr 2007 04:00:40 -0400 (EDT)

hello all, i have a function G(t) which is a convolution of F(t) and p(t): G=F*p . now p(t) is a step function (p(t)=UnitStep[30-t]) and i know what G(t) is, but i'd like to get at F. what i've been trying to do is take the laplace transform of G and dividing by the laplace transform of p, then inverting that to get F. i'm having a lot of trouble. the built in inverseLaplaceTransform function is unable to do it, and i haven't found any numerical routines that are reliable. is there some reason why i shouldn't be able to do this? perhaps there are better ways to get at F(t)? your advice is much appreciated. thanks, dan