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MathGroup Archive 2006

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Re: Singularity handling in NIntegrate

  • To: mathgroup at
  • Subject: [mg70834] Re: Singularity handling in NIntegrate
  • From: "dimitris" <dimmechan at>
  • Date: Sat, 28 Oct 2006 23:38:13 -0400 (EDT)
  • References: <ehv7ph$ft1$>

"SingularityDepth is an option for NIntegrate. SingularityDepth -> n
specifies that n recursive subdivisions can be done before
a change of variable is used at the endpoints of the interval of
Attributes[SingularityDepth] = {Protected}


Hope these helps.


Andrew Moylan wrote:
> 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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