一类带参数的两步方法及其A-稳定的条件分析

A Class of Two Step Method with a parameter and its Conditions Analysis about A-stability

本文首先给出了常微分方程数值方法的一些基本概念,然后借助阶的等价条件,构造了一类带参数的两步方法,最后得到了这类两步方法 A-稳定的条件。

In this paper,firstly,some of the basic concepts about numerical methods for ordinary differential equations are introduced. Secondly,we construct two-step method with a parameter by virtue of the equivalent conditions of order. Finally,A-stability conditions of the two-step method are obtained.