Description Usage Arguments Details Functions
The optimum contour with polar co-ordinates (r as a function of φ) and complex length increment with φ (Evans and Chung, 2000)
1 2 3 | opC.r(phi, m = 1, t = 5)
opC.ds_dphi(phi, m = 1, t = 5)
|
phi |
φ value |
m |
width of the contour - too small and get too close to singularities on negative x-axis, too large and encounter instability for large positive x |
t |
standard (time) domain variable, also affects contour width |
if t
is set as zero, it is changed to 5 (avoids dividing by 0)
Evans & Chung, 2000: Laplace transform inversions using optimal contours in the complex plane International Journal of Computer Mathematics v73 pp531-543.
opC.r
: r
opC.ds_dphi
: ds/dφ
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