关于求解Stiff常微分方程具有参数的一类块方法

A CLASS OF BLOCK METHODS WITH PARAMETERS FOR SOLVING ODE'S

本文给出求解Stiff常数分方程含有参数的一类高阶块方法,并给出计算其绝对稳定域的算法.通过对参数的选取,改进了文[1]中的方法的稳定性.对于K=3,4,5,6,我们构造出一类Stiff稳定的块方法,它们是具有很小的非稳定域.

In this paper a class of high order block methods with parameters for solving stiff ODE'S and an algorithm for computing the absolute stability regionsof these methods are given.By choosing parameters,methods with the extended absolute stability regions arc constructed for k=3,4,5,6.Such methods arc suitable for solving stiff systems