本文给出了“协调耗散算子”这一新定义以及该算子的一些重要性质,特别还揭示了协调耗散算子与显式完全平方守恒差分格式之间的关系。通过引用古曲Runge-Kutta方法构造了2阶、3阶和4阶的协调耗散算子,并就线性情形构造了一般的m阶协调耗散算子。另外,文中还定义了衡量用该方法构造的协调耗散算子好坏的时间效率参数。 In this paper, we give a new definition of “harmonized dissipative operator” and some important properties of the operator. In particular, we also show the relation between the coordination dissipative operator and the explicit perfect square difference constant difference scheme. The second order, the third order and the fourth order coordination dissipative operator are constructed by referring to the ancient song Runge-Kutta method, and a general m-order coordination dissipation operator is constructed for the linear case. In addition, the paper also defines the time efficiency parameter that measures the good or bad of the harmonized dissipative operator constructed by this method.