Re: Numeric integration

On Mon, 01 Dec 2003 21:33:23 -0400, C W wrote:

> I am looking for a way to integrate this with at least 50 digits after
> decimal :

That equation looks hideous, but I didn't see any singularities except at
-1 (outside your range) and unless I'm misreading, it should also be
infinitely differentiable inside your range.  If that's the case, then
just about any method (I'd use a high order Gaussian quadrature on a
uniform mesh, but that's my prejudices rather than a thoughtful
recommendation) should converge nicely, if you want to roll your own.

> What method or software should I use ???

The only practical problem is that you'll need arbitrary precision
arithmetic (I'm assuming you're talking 50 decimal digits and/or don't
have access to a machine that does 128-bit floating point in hardware). 
Any computer algebra system (e.g. Maple, Mathematica) should support
arbitrary precision arithmetic and make things easy for you.
---
Roy Stogner