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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.
Reviewer: K.Zlateva (Russe)

MSC:
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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