一类分解刚性大系统的组合方法

COMBINED METHODS FOR A CLASS OF PARTITIONED STIFFLY LARGE SYSTEMS

针对分解的刚性大系统提出了组合ＲＫＲｏｓｅｎｂｒｏｃｋ（ＣＲＫＲ）方法，该方法分别采用Ｒｏｓｅｎｂｒｏｃｋ和显式ＲＫ方法在不同的处理机上并行求解刚性和非刚性子系统。文中讨论了算法的构造、收敛性以及数值稳定性，并在微机和多处理机上进行了数值仿真试验。

The combined RK Rosenbrock(CRKR)methods are presented for a partitioned systems of stiffly large differential equations.Nonstiff and stiff subsystems are integrated in parallel on two processors by an explicit RK method and a Rosenbrock method respectively.Their construction,convergence and numerical stability are studied,and the numerical simulation experiments are conducted on a personal computer and a parallel computer.