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arXiv · 1609.04178

Stability properties of the ENO method

Ulrik Skre Fjordholm
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Abstract

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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Ulrik Skre Fjordholm. 2016-09-14. Stability properties of the ENO method. https://doi.org/10.1016/bs.hna.2016.09.004

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