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MathGroup Archive 2005

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Re: High precision NIntegrate problem. Please help!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg60379] Re: High precision NIntegrate problem. Please help!
  • From: Peter Pein <petsie at dordos.net>
  • Date: Wed, 14 Sep 2005 03:27:59 -0400 (EDT)
  • References: <dfueda$1tu$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

a_noether_theorem at yahoo.com schrieb:
> I'm trying to numerically evaluate a particularly nasty integral, and
 ...
> Anyhoo, *I think* the answer is neither zero nor infinity, at least not
> for all combinations of arguments I'm trying,  but I can't get a
> consistent answer, especially for some funny symmetrical values of
> {Xi,Yi}.  I've tried writing a routine in c, and that hasn't been
> sucessful yet.  I think the function has cancelling singularities, but
> I'm a little nervous throwing out points in my Reimann sums that 
> NAN/Indeterminite.
>

Maybe NumericalMath`CauchyPrincipalValue is applicable to some extent
(just guessing) ?

> Soooooooo, is there any way to convince Mathematica to give me a guaranteed
> level of precision, assuming I'm willing to wait a while for the
> answer?  I assume there is, but I'm baffled by the options.
>
> Any help would be very greatly appreciated.
>
> -john
>

--
Peter Pein, Berlin
GnuPG Key ID: 0xA34C5A82
http://people.freenet.de/Peter_Berlin/


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