Order of accuracy & Stability
This snippet shows how I examine the order of accuracy (OOA) and the numerical stability for a given numerical scheme.
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In this snippet I examine the OOA and the stability for Lele's 6th-order numerical scheme [1] using a challeging stationary-wave problem proposed by Brady & Livescu (2019) [2] using the one-dimensional system of the wave equation.
Refs:
[1] Lele, Sanjiva K. "Compact finite difference schemes with spectral-like resolution." Journal of computational physics103.1 (1992): 16-42.
[2] Brady, Peter T., and Daniel Livescu. "High-order, stable, and conservative boundary schemes for central and compact finite differences." Computers & Fluids 183 (2019): 84-101.
Cite As
Manuel A. Diaz (2026). Order of accuracy & Stability (https://www.mathworks.com/matlabcentral/fileexchange/118140-order-of-accuracy-stability), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired by: Easy build compact schemes, Easy build finite-difference operators, compact schemes
General Information
- Version 1.0.0 (11.4 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0 |
