摘要
本文给出含有二阶导数k步k+2阶的方法,其系数表达式是容易在计算机生成的。文中还构造出一类stiff稳定的含有二阶导数的多步方法,它们与文[1]、[2]中所述方法相比较,改进了方法的稳定性。这些方法适合求解stiff方程。
In this paper a class of stiffly stable second derivative multistep of the same accuracy, its absolute stability region is larger than that of Enright's 1 and Cnakravarti's Method 2. The general linear k-step methods of k+2 order are given, Their coefficients are easily generated in the computer. Such methods arc papropritae for sloving stiff systems.
出处
《南京大学学报(自然科学版)》
CAS
CSCD
1990年第2期187-195,共9页
Journal of Nanjing University(Natural Science)
关键词
Stiff方程
二阶导数
多步法
稳定性
stigg systems
second derivative multistep methods
agbvsolute stability regions