@Article{NMTMA-15-3,
author = {Ting, Li and Wang, Bin and Liu, Changying and Wang, Bin},
title = {Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2022},
volume = {15},
number = {3},
pages = {620--640},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2021-0181},
url = {https://global-sci.com/article/90265/long-time-energy-and-kinetic-energy-conservations-of-exponential-integrators-for-highly-oscillatory-conservative-systems}
}