On the stability of collocation methods for the two-dimensional Burgers equation - the Fourier case

被引：0
|
作者：
Marion, Martine [1 ]
机构：
[1] Ecole Centrale de Lyon, Ecully, France
来源：
Journal of Scientific Computing | 1994年 / 9卷 / 04期
关键词：
Mathematical techniques - Stability;
D O I：
暂无
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
We investigate Fourier collocation approximations of the evolutionary two-dimensional Burgers equation. The numerical schemes are not required to be semi-conservative. We obtain stability estimates in the H1(Ω) norm that are uniform in time. Our results show that collocation techniques do not yield instability, at least if the resolution is fine enough.
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页码：405 / 417
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