摘要
本文针对多处理机系统构造了一类并行隐式Runge—Kutta方法,给出了一个具有三阶精度的并行二级Runge—Kutta公式,并证明了该计算公式具有A稳定性,数值结果表明该计算公式对求解刚性常微分方程是有效的。
In this paper, a class of parallel implicit Runge-Kutta methods is constructed for a multiprocessor system. A parallel two-stage Runge-Kutta formula which possesses a three-order accuracy is given out. It is proved that this computational formula is of A- Stability. The numerical results show that this formula is efficient for solving stiff ordinary differential equations.
出处
《系统工程与电子技术》
EI
CSCD
1991年第3期25-30,共6页
Systems Engineering and Electronics
关键词
多处理机系统
并行处理
稳定性
Multiprocessor system, Parallel algorithm, Stiff ordinary differential equation, Implicit Runge-Kutta formula.
