Locally exact modifications of discrete gradient schemes
Computational Physics
2013-08-08 v1 Numerical Analysis
Numerical Analysis
Abstract
Locally exact integrators preserve linearization of the original system at every point. We construct energy-preserving locally exact discrete gradient schemes for arbitrary multidimensional canonical Hamiltonian systems by modifying classical discrete gradient schemes. Modifications of this kind are found for any discrete gradient.
Cite
@article{arxiv.1304.6533,
title = {Locally exact modifications of discrete gradient schemes},
author = {Jan L. Cieśliński},
journal= {arXiv preprint arXiv:1304.6533},
year = {2013}
}
Comments
16 pages plus 4 figures