Legende-Gauss-Lobatto nodes and weights

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

9.9K Downloads

Updated Tue, 20 Apr 2004 09:49:00 +0000

View License

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 (2023). Legende-Gauss-Lobatto nodes and weights (https://www.mathworks.com/matlabcentral/fileexchange/4775-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
Acknowledgements

Inspired: Legendre-Pade Approximation

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.0