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numerical solutions

• To: mathgroup at christensen.cybernetics.net
• Subject: numerical solutions
• From: laska at netcom.com (Andrew Laska)
• Date: Wed, 26 Oct 1994 11:47:15 -0700 (PDT)

> 
>  Hi,
>  	
>          I am interested in Mma routines that solve complex ODE's. Is there
>  any at all? Another programs are welcome too.
> 
> 	My interest is in the following kind of system of ODE's:
> 
> 		dY/dT = p(X,Y)
>         	dX/dT = q(X,Y)
> 
> where X and Y are functions of T (T is COMPLEX), p and q are, say, complex
> polynomials. I want to solve it NUMERICALLY. For it, is necessary to specify
> a path through that the solution will be computed, since we are working in
> complex plane. 
> 	I have a program, written in FORTRAN (in 1985) that works, but
> I don't have access to the program sources and I wish to work with a more 
> sophisticated environment. 


I am currently working on a fourth order Runge-Kutta routine. There is 
one included with the standard packages but it isn't very good in my opinion.

If you would like I will post it when I am finished. Please reply 
directly to my e-mail instaed of the list. I don;t want to flood the list 
with unneeded messages.

I will also have to test it for complex functions. Write to me and I will 
get it finished up.

Andrew Laska
laska at netcom.com