期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 364, 期 -, 页码 137-152出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2018.03.015
关键词
Poisson systems; Energy preservation; Functionally-fitted integrators
资金
- Alexander von Humboldt Foundation
- Natural Science Foundation of Shandong Province [ZR2017JL003]
- National Natural Science Foundation of China [11671200]
In this paper, a new class of energy-preserving integrators is proposed and analysed for Poisson systems by using functionally-fitted technology. The integrators exactly preserve energy and have arbitrarily high order. It is shown that the proposed approach allows us to obtain the energy-preserving methods derived in [12] by Cohen and Hairer (2011) and in [1] by Brugnano et al. (2012) for Poisson systems. Furthermore, we study the sufficient conditions that ensure the existence of a unique solution and discuss the order of the new energy-preserving integrators. (C) 2018 Elsevier Inc. All rights reserved.
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