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MathGroup Archive 2002

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Re: I want to get the coefficient of the Legendre-Gauss Quadrature

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36369] Re: I want to get the coefficient of the Legendre-Gauss Quadrature
  • From: Selwyn Hollis <slhollis at earthlink.net>
  • Date: Tue, 3 Sep 2002 01:41:13 -0400 (EDT)
  • References: <akkd7n$82j$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

The package NumericalMath`GaussianQuadrature` has what you want.

---
Selwyn Hollis


Long Green wrote:
> Hi;
> I want to get the coefficient of the Legendre-Gauss Quadrature, 
> I find this method is fast, but when the integration result is big, then the result is
> not accurate enough, I think it is because I only use 5 coefficient to compute it.
> Do you think it will be accurater when I use more coefficients to compute?
> Is possible to get 16 coefficients to compute?
> The 6 coefficients I use are from:
> http://mathworld.wolfram.com/Legendre-GaussQuadrature.html
> 
> I need more coefficients  to get accurater result. 
> How about the method of the Integration function built-in Mathematica?
> 
> Thanks,
> Chen
> 


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