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MathGroup Archive 2006

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Re: Singularity handling in NIntegrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70834] Re: Singularity handling in NIntegrate
  • From: "dimitris" <dimmechan at yahoo.com>
  • Date: Sat, 28 Oct 2006 23:38:13 -0400 (EDT)
  • References: <ehv7ph$ft1$1@smc.vnet.net>

Information[SingularityDepth]
"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
integration."
Attributes[SingularityDepth] = {Protected}

See

http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/11d40e17edbea9e9/b223cb3882539ac8#b223cb3882539ac8

http://library.wolfram.com/infocenter/Conferences/5365/

Hope these helps.

Regards
Dimitris



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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