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Volume 8, Issue 3
$l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems

Fei-Peng Hsieh & Shu-Rong Xu

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

Published online: 1990-08

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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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@Article{JCM-8-212, author = {Hsieh , Fei-Peng and Xu , Shu-Rong}, title = {$l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {3}, pages = {212--222}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9434.html} }
TY - JOUR T1 - $l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems AU - Hsieh , Fei-Peng AU - Xu , Shu-Rong JO - Journal of Computational Mathematics VL - 3 SP - 212 EP - 222 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9434.html KW - AB -

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.

Fei-Peng Hsieh & Shu-Rong Xu. (1970). $l_2$-Stability of Difference Models for Hyperbolic Initial Boundary Value Problems. Journal of Computational Mathematics. 8 (3). 212-222. doi:
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