n-dimensional simplex quadrature
% Construct Gauss points and weights for a n-dimensional simplex
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This script computes the weights and nodes for a Gauss quadrature rule on an n-dimensional simplex. The user can either specify the vertices of the simplex or only the dimension and the vertices of the unit simplex will then be used.
The first four simplexes are
n | Domain
--|------------
1 | Interval
2 | Triangle
3 | Tetrahedron
4 | Pentatope
Thanks to John D'Errico for helping with this script.
Cite As
Greg von Winckel (2026). n-dimensional simplex quadrature (https://uk.mathworks.com/matlabcentral/fileexchange/9435-n-dimensional-simplex-quadrature), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired: Triangular Taylor Hood finite elements, Homogen Integrate on Triangular Area and Tetrahedral Volume
Categories
Find more on Numerical Integration and Differential Equations in Help Center and MATLAB Answers
General Information
- Version 1.0.0.0 (2.18 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0.0 |
