一类隐式Runge-Kutta方法的并行算法

A paraller algorithm for contuined Runge-Kutta method

利用二级三阶的隐式Runge-Kutta方法,导出了一种适合于并行计算机求解常微分方程初值问题的三阶并行算法.在对该算法进行稳定性分析后,使用边界轨迹法画出了其绝对稳定性区域.

Based on contained Runge-Kutta method, a third order method which is suited to implement in parallel, was derived in this paper for solving initial value problems. The stability region of the method is also given.