一类刚性非自治系统的组合分块解法

Combined Method for a Class of Partitioned Large Stiff Nonautonomous Systems

针对分解的刚性大系统提出了组合RK-Rosenbrock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．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 Runge-Kutta with Rosenbrock 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 numerical simulation experiments are conducted on a personal computer and a parallel computer.