分解刚性大系统数值仿真并行算法

针对一类分解的刚性大系统，根据系统分割的思想，提出了组合ＲＫ－Ｒｏｓｅｎｂｒｏｃｋ方法，将方法分割和系统分割的思想相结合，构造了并行组合方法。对于提出的并行算法，比较系统地研究了算法的构造以及它们的收敛性和数值稳定性，并在微机和多处理机上进行了数值仿真试验。

Parallel Methods for Numerical Simulation of Partitioned Stiff Systems

This paper deals with the solution of partitioned systems of nonlinear stiff differential equations.Based on the parallelism across the system a class of combined RK\|Rosenbrock methods is presented.Through combination of the parallelism across the system with the parallelism across the method a class of parallel combined methods is constructed.Their order conditions,their convergence and their numerical stability are studied and the numerical simulation experiments are conducted on a personal computer and a multicomputer.