摘要
本文构造了一类适合在多处理机系统上实现的并行Runge-Kutta公式,对于其中的具体公式证明了收敛性,给出它的稳定区域,数值例子表明,该公式可以有效地求解常微分方程初值问题.
A class of multistep parallel Runge-Kutta formulas is constructed which can be implemented suitably on multiprocessor system. For the specific formulas of this class,the convergence is proved and the stability regions are given. The numerical examples demonstrate that these formulas can solve the initial value problems for the ordinary differential equations effectively.
出处
《应用数学》
CSCD
北大核心
1993年第4期411-416,共6页
Mathematica Applicata
基金
国家自然科学基金
关键词
并行算法
常微分方程
R-K公式
Multiprocessor system
Parallel algorithm
Ordinary differential equation
Runge-Kutta formula
