Geometric Generalisations of shake and rattle

被引：0

作者：

Robert I McLachlan

Klas Modin

Olivier Verdier

Matt Wilkins

机构：

[1] Massey University,Institute of Fundamental Sciences

[2] Chalmers University of Technology,Department of Mathematical Sciences

[3] NTNU,Department of Mathematics

来源：

Foundations of Computational Mathematics | 2014年 / 14卷

关键词：

Symplectic integrators; Constrained Hamiltonian systems; Coisotropic submanifolds; Differential algebraic equations; 37M15; 65P10; 70H45; 65L80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A geometric analysis of the shake and rattle methods for constrained Hamiltonian problems is carried out. The study reveals the underlying differential geometric foundation of the two methods, and the exact relation between them. In addition, the geometric insight naturally generalises shake and rattle to allow for a strictly larger class of constrained Hamiltonian systems than in the classical setting.

引用

页码：339 / 370

页数：31

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