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5.0 | 6 ratings Rate this file 28 Downloads (last 30 days) File Size: 1.58 KB File ID: #4775

Legende-Gauss-Lobatto nodes and weights

17 Apr 2004 (Updated 20 Apr 2004)

Computes the Legendre-Gauss-Lobatto weights, nodes and vandermonde matrix.

File Information
Description	This script computes the nodes and weights for Legendre-Gauss-Lobatto quadrature as well as the LGL-vandermonde matrix for spectral methods. The nodes are the zeros of (1-x^2)*P_N(x), which include the endpoints. For pure Gauss quadrature, Chebyshev is numerically better and has a lower Lebesgue constant then Legendre, however, the opposite is true for Gauss-Lobatto quadrature.
Acknowledgements	This submission has inspired the following: Legendre-Pade Approximation
MATLAB release	MATLAB 6.0 (R12)

Tags for This File
Everyone's Tags	integration, legendre, lobatto, nodes(2), numerical, polynomials, quadrature
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Comments and Ratings (8)
12 Jan 2005	Ludek Broz	Excellent
20 Oct 2005	Alejandro Otero
29 Sep 2006	Andreas Fichtner	Very accurate and easy to handle.
26 Mar 2007	Zeynep Alemdar	It is good.
27 Dec 2007	Fair Qu
05 Mar 2008	R. Williams	very accurate, easily implemented. thank you
30 Jan 2009	Robert	It's very good！ However， the problem can be rather tricky. see the book 'Nodal discontinuous Galerkin methods', in 2D case, the transformation from 1D LGL points to 2D triangle LGL points is really complicated
11 Dec 2011	zhang	I am looking!

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