timflow.transient.invlapnumba.invlap
====================================

.. py:function:: timflow.transient.invlapnumba.invlap(t, tmax, fp, M, alpha=1e-10, tol=1e-09)

   
   Inverse Laplace tansform with algorithm of De Hoog, Knight and Stokes.

   :param t: times for which inverse is computed
   :type t: array
   :param tmax: maximum time
   :type tmax: float
   :param fp: Laplace transformed solution
   :type fp: complex array
   :param M: number of terms (number of values of fp)
   :type M: integer
   :param alpha: is chosen based on the desired accuracy (assuming the rightmost
                 singularity is 0), and tol=10α is the desired tolerance
   :type alpha: is the real part of the rightmost pole or singularity, which

   :returns: * **result** (*array*) -- time domain solution for specified times
             * *Reference*
             * *---------*
             * *de Hoog, F., J. Knight, A. Stokes (1982). An improved method for*
             * *numerical inversion of Laplace transforms. SIAM Journal of Scientific*
             * **and Statistical Computing 3** (*357-366, http://dx.doi.org/10.1137/0903022*)
             * **https** (*//bitbucket.org/klkuhlm/invlap/src/default/invlap.py*)















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