一类并行块隐式方法

A Class of Parallel Block Implicit Methods

本文针对多处理机系统构造了一类并行块隐式方法。具体地给出了此类方法的一个具有两个进程和二阶精度的并行计算公式,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 block implicit methods is constructed for a multiprocessor system. A parallel computational formula which possesses two processes and second-order accuracy is given. It is proved that this parallel computational formula is A-stable. The numerical results show that this parallel computational formula is efficient for solving stiff ordinary differential equations.