[SciPy-user] Green's function

Clinton Allen clintonwallen@gmail....
Thu Dec 13 11:49:39 CST 2007


Try wikapedia: http://en.wikipedia.org/wiki/Greens_function
--Clint Allen


On Dec 11, 2007 8:52 AM, Lou Pecora <lou_boog2000@yahoo.com> wrote:

> There is no particular special function called the
> Green Function (sometimes named Green's Function).
> Green functions are special solutions of certain
> partial differential equations (PDE), i.e. they are a
> certain class of functions.  It's like saying
> Orthogonal Polynomials -- that's a class, not a
> particular type.
>
> Green functions have the property that when used in
> the PDE they yield a Dirac delta function.  That makes
> them useful for the solution of the same PDE, but with
> a nonhomogeneous term added to the "other side."
>
> So each PDE has it's own Green function.  Eg. the
> Helmholtz equation,
>
>  D^2 G + k^2 G=0  (D^2 = Laplacian)
>
> has the Green function  G(r,r')= i H_0(k|r'-r|)/4,
> where H_0 is a Hankel function and i=sqrt(-1).
>
> I suggest you look at some texts (maybe mathematical
> physics books) for the subject.  Even a Google search
> will give you some information.
>
> -- Lou Pecora
>
> --- Natali Melgarejo Diaz <nmelgarejodiaz@gmail.com>
> wrote:
>
> > Hi to everyone i'm new in this list...i have a
> > question about a
> > formula i haven't found yet..., do you know the
> > "Green function"??. Is
> > there anything similar in Scipy??, 'cause in Matllab
> > there is one but
> > i haven't found it in Scipy yet.
> >
> > Thanks in advance to everyone ;))
> >
> >
> > ********Natali********
>
>
>
>
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