@Article{JCM-38-705, author = {Gauckler , Ludwig}, 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 = {

Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered. Under a condition of Hairer & 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1903-m2018-0090}, url = {http://global-sci.org/intro/article_detail/jcm/16665.html} }