摘要
In this paper,we formulate and analyse a kind of parareal-RKN algo-rithms with energy conservation for Hamiltonian systems.The proposed algorithms are constructed by using the ideas of parareal methods,Runge-Kutta-Nystrom(RKN)methods and projection methods.It is shown that the algorithms can exactly pre-serve the energy of Hamiltonian systems.Moreover,the convergence of the integra-tors is rigorously analysed.Three numerical experiments are carried out to support the theoretical results presented in this paper and show the numerical behaviour of the derived algorithms.
基金
supported by the NSFC(Grants 12371403,12271426)
by the Key Research and Development Projects of Shaanxi Province(Grant 2023-YBSF-399).
