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15h
answered Drawing a Closed Curve from given points
2d
revised Numerical inverse Laplace-Hankel transform
added 1 character in body
2d
comment Numerical inverse Laplace-Hankel transform
Thanks for clarification, now it's clearer. BTW, what's your Mathematica version? I just tested in v9.0.1 and v10.4.1 (Wolfram Cloud), Mathematica is able to correctly find the closed form of Hankel transform of all 3 residues: i.stack.imgur.com/24U1a.png
2d
revised Numerical inverse Laplace-Hankel transform
Add a remark about a bug in v9
Apr
29
revised Numerical inverse Laplace-Hankel transform
edited tags
Apr
29
comment Numerical inverse Laplace-Hankel transform
Oh, finally here comes an answer! (I had almost accepted the reality that my 500 reputation would go with wind...) Then, sorry for my weak basis of complex analysis, but can you elaborate a little on the "The Bromwich contour then can be distorted to yield a solution consisting of the three Residues plus integrals of the discontinuities along the four branch cuts" part?
Apr
29
revised Numerical inverse Laplace-Hankel transform
1. add the missing `1/(2 Pi I)` coefficient of inverse Laplace transform. 2. Remove the incorrect description of the integral. (What's highly oscillatory is `BesselJ[0, ξ] f[p, ξ]`, not `f[p, ξ]` )
Apr
29
revised Numerical inverse Laplace-Hankel transform
Grammar mistake fixed.
Apr
28
awarded  Good Question
Apr
27
reviewed Close Multiple Integral of equation including dx prime?
Apr
27
reviewed Leave Open vector plot with magnitude as legend
Apr
27
reviewed Close The Disc and Washer Methods
Apr
27
reviewed Leave Open NSolve won't act on very large powers
Apr
27
reviewed Close Solve a system of first order ODEs with variable coefficients
Apr
27
comment Solving equations but cannot define argument
Works fine here: i.stack.imgur.com/fA9np.png I guess you forgot to Clear some of the variables?
Apr
27
revised Solving equations but cannot define argument
added 3 characters in body
Apr
27
comment Solving equations but cannot define argument
What's the definition of H?
Apr
27
comment Multiply integrand with -1, and the precision changes?
@Xavier OK, done.
Apr
27
answered Multiply integrand with -1, and the precision changes?
Apr
27
comment Numerical inverse Laplace-Hankel transform
@Lukas Thanks for the comment, but sadly "SymbolicProcessing" -> 0 seems not to help here... for this integral the only 2 available methods seem to be "ExtrapolatingOscillatory" and "LevinRule". "SymbolicProcessing" isn't an option for "LevinRule", and doesn't improve the speed of "ExtrapolatingOscillatory", what's more, because of a bug mentioned here, one will be unable to adjust the MaxRecursion option if Method -> {"ExtrapolatingOscillatory", "SymbolicProcessing" -> 0} is used.