$l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems

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Abstract

It is showed that, for many commonly used difference models on hyperbolic initial boundary value problems, the necessary and sufficient condition for GKS-stability is a necessary condition for $l_2$-stability.

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$l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems. (1990). Journal of Computational Mathematics, 8(3), 212-222. https://www.global-sci.com/index.php/JCM/article/view/10990