Stability properties of the ENO method
Numerical Analysis
2018-08-02 v1
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.
Keywords
Cite
@article{arxiv.1609.04178,
title = {Stability properties of the ENO method},
author = {Ulrik Skre Fjordholm},
journal= {arXiv preprint arXiv:1609.04178},
year = {2018}
}
Comments
To appear in Handbook of Numerical Methods for Hyperbolic Problems