The numerical integration of relative equilibrium solutions. Geometric theory

被引：20
作者：
Duran, A [1 ]
Sanz-Serna, JM [1 ]
机构：
[1] Univ Valladolid, Dept Matemat Aplicada & Computac, Valladolid, Spain
来源：
NONLINEARITY | 1998年 / 11卷 / 06期
关键词：
D O I：
10.1088/0951-7715/11/6/008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the propagation of errors in the numerical integration of relative equilibria solutions of differential equations with symmetries. In thr Hamiltonian case and for stable equilibria, the error growth is typically quadratic for 'general' schemes and linear for schemes that preserve the invariant quantifies of the problem. Numerical results are presented.
引用
收藏
页码：1547 / 1567
页数：21
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