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Weighted essentially non-oscillatory schemes. (English) Zbl 0811.65076
The weighted essentially non-oscillatory (ENO) schemes are based on cell averages and a total variation diminishing Runge-Kutta time discretization. The main idea is instead of choosing the “smoothest” stencil to pick one interpolating polynomial for the ENO reconstruction. To this end the authors use a convex combination of all candidates to achieve the essentially non-oscillatory property, while additionally obtaining one order of improvement in accuracy.

65M20Method of lines (IVP of PDE)
65M06Finite difference methods (IVP of PDE)
65L06Multistep, Runge-Kutta, and extrapolation methods
Full Text: DOI
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