J. Comp. Math., 8 (1990), pp. 212-222.

l_2-Stability of Difference Methods For Hyperbolic Initial Boundary Value Problems

Fei-Peng Hsieh 1, Shu-rong Xu 1

1 Zhongshan University, China

Received 1987-10-28 Revised Online 2006-12-10


It is showed that, for many commonly used difference meodels 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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