Plotting numerical Laplace inverse transforms

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Plotting numerical Laplace inverse transforms*From*: mass at hobiecat.pcmp.caltech.edu (Mass Sivilotti)*Date*: Fri, 24 Apr 1992 08:19:01 GMT

I need to plot the impulse response of a strange filter: H(s) = 1/(s * Cosh[Sqrt[s]]) I tried to brute-force it through MMA 2.0 (on a NeXT): Plot[InverseLaplaceTransform[1/(s Cosh[Sqrt[s]]), s, t], {t, 0, 3}] but this blew MMA's little mind. Any suggestions would be appreciated, including a more efficient approach to the problem (I believe MMA is doing two numerical integrations for every data point...). Thanks in advance, --mass (mass at hobiecat.pcmp.caltech.edu)