Re: numeric inverse laplace transform of numeric data

*To*: mathgroup at smc.vnet.net*Subject*: [mg21935] Re: numeric inverse laplace transform of numeric data*From*: "Kevin J. McCann" <kevinmccann at home.com>*Date*: Sat, 5 Feb 2000 00:49:12 -0500 (EST)*References*: <87b0g8$o47@smc.vnet.net> <87e292$s3o@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Actually there was an article in the old Mathematica Journal that addressed just this problem. You can find it on the Wolfram website. Maybe MathSource->Periodicals->?? Something like that. Anyway it can be a numerically difficult thing since the integral runs from a-i infinity to a +i infinity. Have a look though. Kevin "John Doty" <jpd at w-d.org> wrote in message news:87e292$s3o at smc.vnet.net... > Why not use the Fourier transform? It has properties analogous to the > Laplace transform: you may think of it as the Laplace transform flipped > over on its side in the complex plane. It is appropriate for the same > sorts of jobs. > > Note that the path integral method of analytically inverting the Laplace > transform implicitly converts it to a Fourier transform, and then > inverse Fourier transforms that! > > I've never seen the Laplace transform used numerically. I suspect this > is because its inverse is numerically unstable. This does not, of > course, impede its use analytically. > > Tom Pratum wrote: > > > > Is there a known way to perform a numeric inverse laplace transform on a > > list (as opposed to a function) in Mathematica? The methods provided in > > mathsource are aimed at functions as opposed to lists. > > -- > John Doty "You can't confuse me, that's my job." > Home: jpd at w-d.org > Work: jpd at space.mit.edu >