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arxiv: 1609.04178 · v1 · pith:WJLNG3BZnew · submitted 2016-09-14 · 🧮 math.NA

Stability properties of the ENO method

classification 🧮 math.NA
keywords propertiesstabilityaccurateappliedavailableboundboundscell
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We review the currently available stability properties of the ENO reconstruction procedure, such as its monotonicity and non-oscillatory properties, the sign property, upper bounds on cell interface jumps and a total variation-type bound. We also outline how these properties can be applied to derive stability and convergence of high-order accurate schemes for conservation laws.

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