Long-time energy analysis of extended RKN integrators for muti-frequency highly oscillatory Hamiltonian systems
Numerical Analysis
2018-04-24 v1
Abstract
In this paper, we study the long-time near conservation of the total and oscillatory energies for extended RKN (ERKN) integrators when applied to muti-frequency highly oscillatory Hamiltonian systems. We consider one-stage explicit symmetric integrators and show their long-time behaviour of numerical energy conservations by using modulated multi-frequency Fourier expansions. Numerical experiments are carried out and the numerical results demonstrate the remarkable long-time near conservation of the energies for the ERKN integrators and support our theoretical analysis presented in this paper.
Keywords
Cite
@article{arxiv.1804.08318,
title = {Long-time energy analysis of extended RKN integrators for muti-frequency highly oscillatory Hamiltonian systems},
author = {Bin Wang and Xinuan Wu},
journal= {arXiv preprint arXiv:1804.08318},
year = {2018}
}