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.

引用

页码：405 / 417

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