Modified Equations for Variational Integrators
Numerical Analysis
2017-11-07 v4
Abstract
It is well-known that if a symplectic integrator is applied to a Hamiltonian system, then the modified equation, whose solutions interpolate the numerical solutions, is again Hamiltonian. We investigate this property from the variational side. We present a technique to construct a Lagrangian for the modified equation from the discrete Lagrangian of a variational integrator.
Cite
@article{arxiv.1505.05411,
title = {Modified Equations for Variational Integrators},
author = {Mats Vermeeren},
journal= {arXiv preprint arXiv:1505.05411},
year = {2017}
}