Newsgroups: sci.physics.plasma
From news@engin.umich.edu Tue Jan 17 19:17:27 1995
From: oliveria@down.engin.umich.edu (Roque Donizete de Oliveira)
Organization: University of Michigan Engineering, Ann Arbor
Subject: two-dimensional integral in dispersion equation

I need to perform this integral:

D = int( f(vpar,vper), vper=0..infinity, vpar=-infinity..infinity)

where vpar,vpar denote the parallel and perpendicular velocities
(real variables), and f(vpar,vper) looks like

G(vpar,vper)
f(vpar,vper) = --------------
vpar - vres

where vres is complex (it can be real too, and this means
trouble (the contour of integration needs to be detoured)).

G(vpar,vper) contains Gaussians (like Exp[-vpar^2]).

The integral could also (and preferably in my case) be
converted to spherical velocity space (v,theta).

If you know of a fortran code that can solve this type
of resonant integral please let me know. I have many
integrators but they are not quite up to this task.

Thanks a lot.

Roque
oliveria@engin.umich.edu