A FAMILY OF NUMERICAL METHODS FOR THE SOLUTION OF INITIAL VALUE PROBLEM OF STIFF DIFFERENTIAL EQUATIONS
Stiff微分方程初值问题的一类数值方法

In this paper, a family of numerical methods with stable parameter for thesolution of Stiff Differential Equations is derived. Each method in the family can be foundfrom a general formula by choosing a value for the parameter S Which is Called stable para-meter. A simple relation between the parameter S and the region of absolute stability is studied.When S = 0, this family of numerical methods is simply either classical Adams or Runge-Kutta method. We can choose parameter S to improve absolute stability, i. e. to extend theregion of absolute stability.