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计算数学  2000 

ON THE FORMAL ENERGY OF SYMPLECTIC RK METHODS
辛RK型方法的形式能量

Keywords: symplectic RK method,backward error,formal energy,modyfied equation
辛RK方法
,误差后分析,形式能量,修改方法,哈密顿系统,常微分方程

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Abstract:

A new way to calculate the formal energy of symplectic RK'methods is developed. The approach is much easier to manipulate than traditional methods and doesn't require any differential or integral calculus.

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