Variational order for forced Lagrangian systems
Mathematical Physics
2018-08-01 v1 Differential Geometry
math.MP
Numerical Analysis
Symplectic Geometry
Abstract
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], Galley, Tsang, and Stein [2014]. 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.
Cite
@article{arxiv.1712.09377,
title = {Variational order for forced Lagrangian systems},
author = {D. Martín de Diego and R. Sato Martín de Almagro},
journal= {arXiv preprint arXiv:1712.09377},
year = {2018}
}