In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs. This leads to exact schemes in the linear case, and also improve the accuracy in the nonlinear case. In the Hamiltonian nonlinear case, it consists in adding correction terms to schemes derived by Mickens.

翻译：在本文中,我们提出了重新拟订非标准限值差(NSFD)规则的米肯斯规则,使之适应数字数字数字交换系统,这导致线性情况的确切计划,也提高了非线性情况的准确性。 在汉密尔顿非线性情况中,它包括在米肯斯得出的计划中增加修正术语。