Weighted essentially non-oscillatory schemes (Q1339533)

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.