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Re: [Help-gsl] Cauchy Principal Value integration

From: Brian Gough
Subject: Re: [Help-gsl] Cauchy Principal Value integration
Date: Tue, 03 Jul 2007 20:05:57 +0100
User-agent: Wanderlust/2.14.0 (Africa) Emacs/22.1 Mule/5.0 (SAKAKI)

At Tue, 3 Jul 2007 06:42:11 -0700 (PDT),
eknecronzontas wrote:
>      Kind of a n00b question: Do Cauchy principal value integrators
> require that the pole in the integrand be a simple pole? In other
> words, will gsl_integration_qawc work even if my integrand looks
> like f(p)/g(p), where I know that g(p_0)=0 for some p_0, but my
> integrand is not necessarily of the form f(p)/(p-p_0) ? And what
> about for the CERNLIB routine RCauchy?


QAWC requires a simple pole, it assumes that the numerator is a smooth

The chebyshev weighting coefficients are computed for the 1/(x-c)
singularity, but in principle it would be possible to make a modified
routine to compute them for other types of singularity.

Brian Gough

Network Theory Ltd,
Publishing the GSL Manual -

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