# Efficient Implementation of Weighted ENO Schemes

@article{Jiang1996EfficientIO, title={Efficient Implementation of Weighted ENO Schemes}, author={Guang-Shan Jiang and Chi-Wang Shu}, journal={Journal of Computational Physics}, year={1996}, volume={126}, pages={202-228} }

In this paper, we further analyze, test, modify, and improve the high order WENO (weighted essentially non-oscillatory) finite difference schemes of Liu, Osher, and Chan. It was shown by Liuet al.that WENO schemes constructed from therth order (inL1norm) ENO schemes are (r+ 1)th order accurate. We propose a new way of measuring the smoothness of a numerical solution, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the…

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