Long-term analysis of exponential integrators for highly oscillatory conservative systems
Numerical Analysis
2018-09-20 v1
Abstract
In this paper, we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems. The modulated Fourier expansions of two kinds of exponential integrators have been constructed and the long-time numerical conservations of energy and kinetic energy are obtained by deriving two almost-invariants of the expansions. Practical examples of the methods are given and the theoretical results are confirmed and demonstrated by a numerical experiment.
Keywords
Cite
@article{arxiv.1809.07268,
title = {Long-term analysis of exponential integrators for highly oscillatory conservative systems},
author = {Bin Wang and Jiyong Li and Yonglei Fang},
journal= {arXiv preprint arXiv:1809.07268},
year = {2018}
}