Runge-Kutta方法对微分代数方程的正则性

摘要

Runge-Kutta方法对微分代数方程是正则的,是指数值解的有限渐进值与方程本身的渐进值是相等的.给出了保证Runge-Kutta方法对微分代数方程是正则的条件,证明了Runge-Kutta方法是正则的充要条件是折叠方法是正则的.%The numerical method for differential-algebraic equation is regular if it has the same set offinite asymptotic values as the underlying differential-algebraic system. The conditions that guaranteeregular properties of Runge-Kutta method for differential-algebraic equation are considered. It isproved that the Runge-Kutta method for differential-algebraic equation is regular if and only if thefold method is regular for differential-algebraic equation.