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Volume 5, Issue 3
Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients

Wen-An Yong & You-Lan Zhu

J. Comp. Math., 5 (1987), pp. 281-286.

Published online: 1987-05

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  • Abstract

A stability theorem is derived for implicit difference schemes approximating multidimensional initial-value problems for linear hyperbolic systems with variable coefficients, and lots of widely used difference schemes are proved to be stable under the conditions similar to those for the cases of constant coefficients. This theorem is an extension of the stability theorem due to Lax-Nirenberg. The proof is quite simple.

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@Article{JCM-5-281, author = {Yong , Wen-An and Zhu , You-Lan}, title = {Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients}, journal = {Journal of Computational Mathematics}, year = {1987}, volume = {5}, number = {3}, pages = {281--286}, abstract = {

A stability theorem is derived for implicit difference schemes approximating multidimensional initial-value problems for linear hyperbolic systems with variable coefficients, and lots of widely used difference schemes are proved to be stable under the conditions similar to those for the cases of constant coefficients. This theorem is an extension of the stability theorem due to Lax-Nirenberg. The proof is quite simple.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9551.html} }
TY - JOUR T1 - Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients AU - Yong , Wen-An AU - Zhu , You-Lan JO - Journal of Computational Mathematics VL - 3 SP - 281 EP - 286 PY - 1987 DA - 1987/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9551.html KW - AB -

A stability theorem is derived for implicit difference schemes approximating multidimensional initial-value problems for linear hyperbolic systems with variable coefficients, and lots of widely used difference schemes are proved to be stable under the conditions similar to those for the cases of constant coefficients. This theorem is an extension of the stability theorem due to Lax-Nirenberg. The proof is quite simple.

Yong , Wen-An and Zhu , You-Lan. (1987). Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients. Journal of Computational Mathematics. 5 (3). 281-286. doi:
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