离散动力学数值积分应该保辛近似

摘要

Symplectic conservation should be confirmed after discrete integration for dynamics. Symplectic symmetry is from Hamilton canonical equation and its variational principle is the minimum action variational principle. Symplectic conservative approximation is confirmed after discrete, and it should not be replaced by inaccurate concept such as structure-preserving. Symplectic conservation was proposed by Kang Feng, which should be taken seriously.%动力学离散后的数值积分应该保辛近似。辛对称来源于Hamilton正则方程，而其对应的变分原理是最小作用量变分原理。离散后成为保辛近似，而不应该用保结构等不确切的概念来代替。保辛是冯康提出的成果，应当予以重视。