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 ...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.展开更多
文摘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.
