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

作　　者：陈宝凤[1] 周乾智[2] 

机构地区：[1]安阳工学院数理学院,河南安阳455000 [2]陕西理工学院数计学院,陕西汉中723000

出　　处：《安阳师范学院学报》2014年第2期10-13,共4页Journal of Anyang Normal University

摘　　要：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.

关 键 词：阶 两步方法 A-稳定性 

分 类 号：O241.8[理学—计算数学]