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Legende-Gauss-Lobatto nodes and weights

version (1.58 KB) by Greg von Winckel
Computes the Legendre-Gauss-Lobatto weights, nodes and vandermonde matrix.


Updated 20 Apr 2004

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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.

Cite As

Greg von Winckel (2021). Legende-Gauss-Lobatto nodes and weights (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R12
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired: Legendre-Pade Approximation

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