Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems  

作　　者：Ting Li Changying Liu Bin Wang 

机构地区：[1]School of Mathematics and Statistics,Xi’an Jiaotong University,710049 Xi’an,China [2]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2022年第3期620-640,共21页高等学校计算数学学报（英文版）

基　　金：supported by the Natural Science Foundation of China under Grants 11801280,12071419;the Natural Science Foundation of Jiangsu Province under Grant BK20180780.

摘　　要：In this paper,we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems.The modulated Fourier expansions of two kinds of exponential integrators have been constructed and the long-time numerical conservations of energy and kinetic energy are obtained by deriving two almost-invariants of the expansions.Practical examples of the methods are given and the theoretical results are confirmed and demonstrated by a numerical experiment.

关 键 词：Highly oscillatory conservative systems modulated Fourier expansion exponential integrators long-time conservation 

分 类 号：O17[理学—数学]