【摘要】 将Runge-Kutta方法用于求解刚性脉冲微分方程,获得了(k,l)-代数稳定的Runge-Kutta方法稳定及渐近稳定的条件.同时证明了求解刚性常微分方程r阶B-收敛的Runge-Kutta方法用于求解刚性脉冲微分方程也是r阶B-收敛的.更多还原

【Abstract】 Runge-Kutta methods are adapted for solving stiff impulsive differential equations. The numerical stability and asymptotic stability conditions of(k,l)-algebraically stable Runge-Kutta methods are derived. Meanwhile,it is proved that if a Runge-Kutta method for solving stiff ordinary differential equations is B-convergent of order r, then it is also B-convergent of order r for solving stiff impulsive differential equations.更多还原