Stability properties of the ENO method
arXiv:1609.04178 · doi:10.1016/bs.hna.2016.09.004
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.
To appear in Handbook of Numerical Methods for Hyperbolic Problems