特殊二阶微分方程的线性自治系统的辛多步法  

SYMPLECTIC MULTISTEP METHOD FOR SPECIALDIFFERENTIAL EQUATION OF THE SECOND ORDER

作　　者：李旺尧[1] 崔海英[1] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所

出　　处：《计算数学》1999年第4期429-440,共12页Mathematica Numerica Sinica

摘　　要：The symplectic multistep method for special differential equation of the secondorder y" = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert & Watson, suiting themotion equations of the celestial mechanics. Obviously, we prove the Lambert’smethod possesses symplectic property. Numerical experiments are performed tothe method, and the results show that the method can preserve many inherentcharacters of the system.The symplectic multistep method for special differential equation of the secondorder y' = f(x,y) was constructed in this paper. It is equals to the symmetriclinear multistep method which was presented by Lambert & Watson, suiting themotion equations of the celestial mechanics. Obviously, we prove the Lambert'smethod possesses symplectic property. Numerical experiments are performed tothe method, and the results show that the method can preserve many inherentcharacters of the system.

关 键 词：多步法 辛多步法 微分方程 线性自治系统 

分 类 号：O241.81[理学—计算数学]