Convergence of Lie group integrators

被引：0
|
作者：
Charles Curry
Alexander Schmeding
机构：
[1] NTNU Trondheim,
[2] TU Berlin,undefined
来源：
Numerische Mathematik | 2020年 / 144卷
关键词：
Primary 65L20; Secondary 22F30; 53C30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie–Butcher theory of Lie group integrators leads to global error estimates.
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收藏
页码：357 / 373
页数：16
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