求解常微分方程初值问题的并行块隐式Runge—Kutta方法

Parallel Block Implicit Runge-Kutta Methods for Solving Initial Value Problem of ODEs

本文针对多处理机系统构造了一类并行块隐式Runge-Kutta方法。在S=2的情况下,给出了几个具有三阶精度的并行计算公式,并证明了这类公式具有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 Runge-Kutta methods is constructed for a multiprocessor system. Several two-stage parallel block implicit Runge-Kutta formulas which possess third order accuracy are given out. They are proved to be of A-stability. The numerical results show that these formulas are efficient for solving stiff ODEs.