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Richard Bellman, Robert E.Kalaba and Jo Ann Lockett.  Numerical
inversion of the Laplace transform : applications to biology,
economics, engineering, and physics.  Elsevier, 1966.

Please see whether these help.

H Stehfast, Numerical inversion of Laplace transforms, COMM ACM, 13,
47-49, 1970.

D. Crann, A.J. Davies, C.-H. Lai, S.H. Leong.  Time domain decomposition
for European options in financial modelling.  Contemporary Mathematics,
218, 487-491, 1998.

C.-H. Lai, A.K. Parrott, S. Rout, and M.E. Honour.  A distributed 
algorithm for European options with nonlinear volatility.  Computers and 
Mathematics with Applications, 49, 885-894, 2005.

A.J. Davies, D. Crann, S.J. Kane, C.-H. Lai.  A hybrid Laplace 
transform/finite difference boundary element method for diffusion 
problems.  Computer Modelling in Engineering and Sciences, 18, 79 – 86, 
2007.

Aleksandar Donev wrote:
> Hello,
> Does anyone have recommendations for publicly available inverse laplace 
> transform Fortran routines? The inversion I need is not terribly difficult: 
> The laplace transform has a long 1/s tail for large s though. I have never 
> used numerical inversion so any pointers will be helpful. Efficiency or very 
> high accuracy is not of big concern, ease of use is.
> Thanks,
> Aleks


Choi-Hong
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# Professor Choi-Hong LAI                                       #
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