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Re: Numerical Integration

• To: mathgroup at smc.vnet.net
• Subject: [mg71987] Re: Numerical Integration
• From: Peter Pein <petsie at dordos.net>
• Date: Thu, 7 Dec 2006 06:25:35 -0500 (EST)
• Organization: 1&1 Internet AG
• References: <ejrn8h$9a4$1@smc.vnet.net> <ejuqhi$huo$1@smc.vnet.net> <el683p$2oj$1@smc.vnet.net>

Antonio Neves schrieb:
> Dear All,
> 
> I have found this discussion very interesting. I have a similar
> problem and was wondering if a similar "oneliner" solution for numeric
> integrals of associated Legendre polynomial involving intervals that
> contains many zeros of LegendreP[n,m,z] is possible.
> Any idea how to generate a list of Zeros for LegendreP[n,m,z]?
> Haven't found and library as, Needs["NumericalMath`BesselZeros`"]
> 
> Many thanks,
> Antonio Neves
> 

If you want to integrate over a finite interval and the default call to
NIntegrate doesn't give accurate results, it might be worth the try to
increase Maxrecursion, SingularityDepth, or in combination with
Method->GaussKronrod: GaussPoints->20 or even more.

 If you supply more detailed information on your problem, we could propably
help you.