Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients

Stability of Implicit Difference Schemes with Space and Time-Dependent Coefficients

Year:    1987

Author:    Wen-An Yong, You-Lan Zhu

Journal of Computational Mathematics, Vol. 5 (1987), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1987-JCM-9551

Journal of Computational Mathematics, Vol. 5 (1987), Iss. 3 : pp. 281–286

Published online:    1987-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:   

Author Details

Wen-An Yong

You-Lan Zhu