On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations
Year: 2020
Author: Ludwig Gauckler
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1903-m2018-0090
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 5 : pp. 705–714
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Oscillatory Hamiltonian systems Trigonometric integrators Energy conservation Long-time behaviour Modified energy.