@Article{JCM-38-5,
author = {Ludwig, Gauckler},
title = {On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations},
journal = {Journal of Computational Mathematics},
year = {2020},
volume = {38},
number = {5},
pages = {705--714},
abstract = {<p style="text-align: justify;">Trigonometric integrators for oscillatory linear Hamiltonian differential equations are
considered. Under a condition of Hairer &amp; Lubich on the filter functions in the method,
a modified energy is derived that is exactly preserved by trigonometric integrators. This
implies and extends a known result on all-time near-conservation of energy. The extension
can be applied to linear wave equations.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1903-m2018-0090},
url = {https://global-sci.com/article/84350/on-energy-conservation-by-trigonometric-integrators-in-the-linear-case-with-application-to-wave-equations}
}