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