Error analysis of variational integrators of unconstrained Lagrangian systems
Numerical Analysis
2009-03-05 v3 Mathematical Physics
Differential Geometry
Dynamical Systems
math.MP
Abstract
A complete error analysis of variational integrators is obtained, by blowing up the discrete variational principles, all of which have a singularity at zero time-step. Divisions by the time step lead to an order that is one less than observed in simulations, a deficit that is repaired with the help of a new past-future symmetry.
Cite
@article{arxiv.0807.1516,
title = {Error analysis of variational integrators of unconstrained Lagrangian systems},
author = {George W. Patrick and Charles Cuell},
journal= {arXiv preprint arXiv:0807.1516},
year = {2009}
}
Comments
Corrections. Additional examples section