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一类矩阵微分方程的Magnus级数解法
引用本文:林敏,陈建华.一类矩阵微分方程的Magnus级数解法[J].山西师范大学学报,2007,21(2):30-33.
作者姓名:林敏  陈建华
作者单位:装甲兵工程学院非线性研究所,北京100072
基金项目:装甲兵工程学院学术研究项目
摘    要:本文基于矩阵微分方程的Magnus级数解法,给出了三种实用的Magnus级数方法,并且证明了对一类常见的微分方程,上述三种方法是模方守恒和辛积守恒的.

关 键 词:矩阵微分方程  Magnus级数  模方守恒  辛积守恒
文章编号:1009-4490(2007)02-0030-04
修稿时间:2006-12-21

Magnus Series Method of Solving one Kind of Matrix Differential Equation
LIN Min,CHEN Jian-hua.Magnus Series Method of Solving one Kind of Matrix Differential Equation[J].Journal of Shanxi Teachers University,2007,21(2):30-33.
Authors:LIN Min  CHEN Jian-hua
Institution:Nonlinear Graduate School of Academy of Armored Force Engineering, Beijing 100072, China
Abstract:By the Magnus series method, numerical solving method of one kind of matrix differential equation is studied in this paper, three Magnus series formulae which are module square and Symplectic product conservation are obtained.
Keywords:magnus series method  matrix differential equation  module square conservation  symplectic product conservation
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