上海师范大学学报(自然科学版)
上海師範大學學報(自然科學版)
상해사범대학학보(자연과학판)
JOURNAL OF SHANGHAI TEACHERS UNIVERSITY(NATURAL SCIENCES)
2005年
2期
1-4
,共4页
延时微分方程%GPm-稳定性%Rosenbrock方法
延時微分方程%GPm-穩定性%Rosenbrock方法
연시미분방정%GPm-은정성%Rosenbrock방법
delay differential equation%GPm -stability%Rosenbrock method
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.
研究瞭用Rosenbrock方法求解多延時微分方程數值解的穩定性.對于線性模型方程,分析瞭Rosenbrock方法的GPm-穩定性,併證明Rosenbrock方法是GPm-穩定的噹且僅噹它是A-穩定的.
연구료용Rosenbrock방법구해다연시미분방정수치해적은정성.대우선성모형방정,분석료Rosenbrock방법적GPm-은정성,병증명Rosenbrock방법시GPm-은정적당차부당타시A-은정적.
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.