Variational order for forced Lagrangian systems
Variational order for forced Lagrangian systems
复制标题
受迫拉格朗日系统的变分阶
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
R Sato Martín de Almagro
中科院分区：
文献类型：
--
作者：
D. M. de Diego;R Sato Martín de Almagro
我们能够在纯粹的变分设置中导出受迫力学系统的运动方程，无论是在拉格朗日力学还是哈密顿力学的背景下，通过复制Galley（2013 Phys. Rev. Lett. 110 174301）和Galley等人（2014 arXiv：1412.3082）。我们表明，这种结构是有用的设计高阶积分强迫拉格朗日系统，更重要的是，我们给出了一个表征的顺序的方法施加到一个强迫系统使用相应的变分的重复顺序。
We are able to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicating the variables of the system as introduced by Galley (2013 Phys. Rev. Lett. 110 174301) and Galley et al (2014 arXiv:1412.3082). We show that this construction is useful to design high-order integrators for forced Lagrangian systems and, more importantly, we give a characterization of the order of a method applied to a forced system using the corresponding variational order of the duplicated one.