Stability properties of the ENO method
Ulrik Skre Fjordholm
TL;DR
This paper reviews the stability properties of the ENO reconstruction method, including monotonicity, non-oscillatory behavior, and bounds, and discusses their implications for the stability and convergence of high-order schemes for conservation laws.
Contribution
It provides a comprehensive review of the stability properties of the ENO method and explains how these properties ensure stability and convergence in high-order schemes.
Findings
ENO method exhibits monotonicity and non-oscillatory properties.
Bounds on cell interface jumps are established.
Stability properties support convergence of high-order schemes.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.