离散梯度格式的局部精确修正
Locally exact modifications of discrete gradient schemes
摘要：
局部精确积分器保持原系统在每一点的线性化。对经典的离散梯度格式进行改进，构造了任意多维正则Hamilton系统的能量保持的局部精确离散梯度格式。对于任何离散梯度，都可以找到这种修改。
英文摘要：
Locally exact integrators preserve linearization of the original system at every point. We construct energy-preserving locally exact discrete gradient schemes for arbitrary multidimensional canonical Hamiltonian systems by modifying classical discrete gradient schemes. Modifications of this kind are found for any discrete gradient.
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