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Legendre Collocation Differentiation

by Greg von Winckel

 

26 May 2004 (Updated 28 May 2004)

Numerically differentiates functions sampled at the LGL nodes.

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Description

This script computes the Legendre-Gauss-Lobatto nodes and the corresponding Legendre differentiation matrix. For some problems, Legendre gives faster convergence than Chebyshev. Useful for spectral methods.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
DMSUITE

MATLAB release MATLAB 6.0 (R12)
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Tag Applied By Date/Time
differential equations Greg von Winckel 22 Oct 2008 07:20:59
legendre Greg von Winckel 22 Oct 2008 07:20:59
polynomials Greg von Winckel 22 Oct 2008 07:20:59
spectral Greg von Winckel 22 Oct 2008 07:20:59
differentiation Greg von Winckel 22 Oct 2008 07:20:59
numerical Greg von Winckel 22 Oct 2008 07:20:59
methods Greg von Winckel 22 Oct 2008 07:20:59
differential equations Matthew 14 Jun 2009 15:02:15

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