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Fast Chebyshev Differentiation

by Greg von Winckel

 

14 Sep 2005 (Updated 15 Sep 2005)

Computes the numerical derivative on the Chebyshev grid.

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Description

This script numerically differentiates a function on the Chebyshev-Gauss-Lobatto grid in O(N*log(N)) time. Equivalent to computing D*x where D is the Chebyshev collocation matrix, but much faster for large vectors x.

Acknowledgements
This submission has inspired the following:
ORTHPOLYFIT, ORTHPOLYVAL
MATLAB release MATLAB 7 (R14)
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Tag Applied By Date/Time
approximation Greg von Winckel 22 Oct 2008 08:00:01
interpolation Greg von Winckel 22 Oct 2008 08:00:01
chebyshev Greg von Winckel 22 Oct 2008 08:00:01
polynomials Greg von Winckel 22 Oct 2008 08:00:01
spectral Greg von Winckel 22 Oct 2008 08:00:01
differentiation Greg von Winckel 22 Oct 2008 08:00:01

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