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MathGroup Archive 2003

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Re: NIntegrate singularity problem v4.0 vs v5.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44482] Re: NIntegrate singularity problem v4.0 vs v5.0
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Wed, 12 Nov 2003 08:01:31 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <boifkq$od6$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <boifkq$od6$1 at smc.vnet.net>,
 soummer at stsci.edu (Remi Soummer) wrote:

> the following code runs on v4.0.1 but not on v5.0, because of the
> changes in NIntegrate function. It seems that v5.0 cannot handle the
> conditional definition of the function K[].
> 
> There is a singularity for r=xi and I tried to use the new option in
> v5.0, removing the conditional definition of K[] and giving the
> singularity point r=x directly to NIntegrate :

There is no need to include a conditional definition. Mathematica's 
pattern-matcher will correctly handle this.

> If someone has ideas about this problem or could help me, I will
> greatly appreciate !

See the Notebook at 

  http://physics.uwa.edu.au/pub/Mathematica/MathGroup/SoummerBessel.nb

I suspect that many improvements could be made to this code, both in 
terms of efficiency and elegance. In particular, I suspect that some of 
the integrals could be performed analytically.

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
School of Physics, M013                         Fax: +61 8 9380 1014
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Crawley WA 6009                      mailto:paul at physics.uwa.edu.au 
AUSTRALIA                            http://physics.uwa.edu.au/~paul


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