一个具有大稳定域的四阶连续RK公式对

在使用龙格一库塔（RK）方法对连续系统进行数字仿真时，为了保证数值计算的稳定性以及仿真结果具有足够的精度，通常采用变步长策略。为了有效地解决变步长仿真计算过程中，输出常点与讣算节点不相吻合的问题，该文在前人工作的基础上，提出了一个具有大稳定域的四阶连续RK公式对。该公式对在不增加微分方程的右端函数值的计算次数的前提下，可以给出积分步距中任意一点上的数值解。凼而具有更大的应用价值。仿真结果表明，该公式对是有效可行的。

A Pair of Fourth Order Continuous RK Formulae with a Big Stability Region

When using Runge-Kutta method in digital simulation for continuous systems,in order to ensure the stability of numerical computation and make simulation results having enough accuracy,the step-change strategy is usually adopted. For resolving effectively the problem of output nodes and calculation nodes that do not fit mutually in the step-change computation process,a pair of fourth order continuous RK formulae with a big stability region is put forward,based on predecessors' work.As the pair can determine the numerical solution at any point within a given integration step without increasing the times of the evaluation of the function on the right-hand of the differential equation,it has much greater application value.Simulation results show that the pair is effective and feasible.