MathGroup Archive: October 2006 [00765]

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Singularity handling in NIntegrate

To: mathgroup at smc.vnet.net
Subject: [mg70793] Singularity handling in NIntegrate
From: "Andrew Moylan" <andrew.j.moylan at gmail.com>
Date: Sat, 28 Oct 2006 05:21:23 -0400 (EDT)

Hi all,

I've been searching around for information about the particular
method(s) that NIntegrate uses to handle singularities at the endpoints
of a numerical integration. In particular,

1. How is the SingularityDepth option used? Is it just the number of
recursive bisections of the first/last subinterval of integration
before a singularity is assumed?

2. What is/are the coordinate transformation(s) used when a singularity
is detected?

Thanks for any help you can give me with these questions.

Cheers,

Andrew

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