Functionals that numerically invert a Laplace Transform.
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L.FUN |
the Laplace-Transformed 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 |
Optimum contour based on:
Evans & Chung, 2000: Laplace transform inversions using optimal contours in the complex plane International Journal of Computer Mathematics v73 pp531-543.
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)
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