Inverse Laplace Transform
Description
Functionals that numerically invert a Laplace Transform.
Usage
1 2 3 4 5 
Arguments
L.FUN 
the LaplaceTransformed function 
t 
standard (time) domain function at which to evaluate 
nterms 
number of terms to use in the numerical inversion (odd number safest for 
m 
see 
fail.val 
value to return in event of failure to converge 
gamma 
the Bromwich contour is a straight line and intersects the real axis at γ 
Details
Optimum contour based on:
Evans & Chung, 2000: Laplace transform inversions using optimal contours in the complex plane International Journal of Computer Mathematics v73 pp531543.
Functions

iv.opC
: inversion using the full optimum contour 
iv.opChalf
: for functions which are symmetric about the real axis, it is sufficient to use half the optimum contour and half the number of subdivisions (nterms
) 
iv.BrC
: inversion using the Bromwich contour (the definition, but very unstable for numerical evaluation  not recommended)
Examples
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