The exact stability region of the MacCormack scheme for the scalar advection equation

被引：1
|
作者：
Hong, H
机构：
[1] Res. Inst. for Symbolic Computation, Johannes Kepler University
来源：
APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 04期
关键词：
D O I：
10.1016/0893-9659(96)00059-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note announces that the stability region of the MacCormack scheme for the scalar advection equation u(t) = au(x) + bu(y) is exactly given by (a Delta(t)/Delta(x))(2/3) + (b Delta(t)/Delta(y))(2/3) less than or equal to 1 where Delta(t), Delta(x) and Delta(y) are the grid distances. This improves upon the result obtained by Wendroff [1] and corrects a mistake in it.
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页码：99 / 101
页数：3
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