Bounding Stability Constants for Affinely Parameter-Dependent Operators
Numerical Analysis
2016-11-21 v2 Dynamical Systems
Abstract
In this article we introduce new possibilities of bounding the stability constants that play a vital role in the reduced basis method. By bounding stability constants over a neighborhood we make it possible to guarantee stability at more than a finite number of points and to do that in the offline stage. We additionally show that Lyapunov stability of dynamical systems can be handled in the same framework.
Cite
@article{arxiv.1605.04019,
title = {Bounding Stability Constants for Affinely Parameter-Dependent Operators},
author = {Robert O'Connor},
journal= {arXiv preprint arXiv:1605.04019},
year = {2016}
}
Comments
Accepted version (C. R. Math.), 6 pages, 3 figures