Bounding Stability Constants for Affinely Parameter-Dependent Operators

31 Oct 2016  ·  O'Connor Robert ·

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.

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Numerical Analysis Dynamical Systems