Collocation-based spectral-element toolbox

Functions and example codes for a collocation spectral-element scheme (Chebyshev or Legendre)


Updated Mon, 01 Apr 2013 13:48:51 +0000

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Following in the spirit of Trefethen’s “Spectral Methods in MATLAB”, this toolbox provides concise functions and test scripts for a collocation-based spectral-element scheme.

Features include:
- choice of Chebyshev or Legendre collocation points
- flexible domain decomposition
- support for the p-element and hp-element methods of spatial refinement
- automatic barycentric interpolation
- hassle-free enforcement of global continuity across element boundaries
- hassle-free treatment of some non-rectangular domains (e.g. square duct)
- automatic reduction to the standard pseudospectral scheme, as a special case of the spectral-element method.

Example scripts include:
- linear second-order and fourth-order ODEs and PDEs
- nonlinear ODEs and PDEs
- linear eigenvalue equations (second-order and fourth-order)
- a non-conformal scheme for localized spatial refinement.

Cite As

Nathaniel Jewell (2023). Collocation-based spectral-element toolbox (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: Legendre Collocation Differentiation

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Version Published Release Notes

(1) DESCRIPTION: Changed "Laguerre" to "Legendre".
(2) TAGS: Changed "spectralelement" to "spectral element".