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保辛-保能的数值积分

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Indexed by:期刊论文

Date of Publication:2014-08-15

Journal:应用数学和力学

Included Journals:PKU、ISTIC、CSCD

Volume:35

Issue:8

Page Number:831-837

ISSN No.:1000-0887

Key Words:保辛;能量守恒;Hamilton系统;区段混合能;参变量

Abstract:针对Hamilton动力系统时变非线性问题,应用混合能变分原理,提出Hamilton系统的离散积分保辛算法.在此基础上,对Hamilton系统引入参变量,设计非线性问题迭代算法格式,通过对参变量的调整,在积分格点上实现了Hamilton系统数值积分保辛同时保能的目标.

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