摘要
研究了用Rosenbrock方法求解多延时微分方程数值解的稳定性.对于线性模型方程,分析了Rosenbrock方法的GPm-稳定性,并证明Rosenbrock方法是GPm-稳定的当且仅当它是A-稳定的.
This paper deals with the stability analysis of the Rosenbrock method for the numerical solution of delay differential equation with many delays. The GPm -stability behavior of the Rosenbrock method is analyzed for the solutions of linear test equations. It is shown that the Rosenbrock method is GPm -stable if and only if it is A -stable.
出处
《上海师范大学学报（自然科学版）》
2005年第2期1-4,共4页
Journal of Shanghai Normal University(Natural Sciences)
基金
the National Nature Science Foundation(10171067)Shanghai Municipal Education Commission(No.04DB07)the Special Funds for Major Specialties of Shanghai Education Committee.
