Weighted essentially non-oscillatory schemes

  title={Weighted essentially non-oscillatory schemes},
  author={Xu-Dong Liu and S. Osher and Tony F. Chan},
  journal={Journal of Computational Physics},
Abstract In this paper we introduce a new version of ENO (essentially non-oscillatory) shock-capturing schemes which we call weighted ENO. The main new idea is that, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, we use a convex combination of all candidates to achieve the essentially non-oscillatory property, while additionally obtaining one order of improvement in accuracy. The resulting weighted ENO schemes are based on cell… 

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