Energy-Preserving Parareal-RKN Algorithms for Hamiltonian Systems

作     者：Zhen Miao Bin Wang Yaolin Jiang 

作者机构：School of Mathematics and StatisticsNorthwestern Polytechnical UniversityXi’an 710072P.R.China School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’an 710049P.R.China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2024年第17卷第1期

页      面：121-144页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the NSFC(Grants 12371403,12271426) by the Key Research and Development Projects of Shaanxi Province(Grant 2023-YBSF-399) 

主　　题：Parareal methods Runge-Kutta-Nystrom methods Hamiltonian systems energy conservation 

摘      要：In this paper,we formulate and analyse a kind of parareal-RKN algo-rithms with energy conservation for Hamiltonian *** proposed algorithms are constructed by using the ideas of parareal methods,Runge-Kutta-Nystrom(RKN)methods and projection *** is shown that the algorithms can exactly pre-serve the energy of Hamiltonian ***,the convergence of the integra-tors is rigorously *** numerical experiments are carried out to support the theoretical results presented in this paper and show the numerical behaviour of the derived algorithms.