摘要
本文提出了一类含二阶导数的适合于求解刚性常微分方程初值问题的数值公式。讨论了这类公式的收敛性和稳定性，得到了相应的收敛性及稳定性定理。并构造了一个单步三阶Ｌ稳定的数值公式和一个两步四阶Ａ（７０°）稳定的数值公式．
In this paper,a class of numerical formulas suitable for solving initial value problem in stiff systems of ordinary differential equations with second derivative are proposed. Its stability and convergence are discussed.The theorems of stability and convergence are obtained.A numerical formula of one-step third order L-stable and a numerical formula of two-step fourth order A(70°)-stable are structured.Classification code of Chinese literatures O241. 81
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1995年第1期12-21,共10页
Journal of Sichuan Normal University（Natural Science）
关键词
常微分方程
数值公式
初值问题
stiff systems of ordinary differential equations,numerical formula,stability,convergence
