一类刚性大系统的并行组合方法  

PARALLEL COMPOUND METHODS FOR SOWING A CLASS OF STIFF SYSTEMS

作　　者：陈丽容[1] 刘德贵[1] 

机构地区：[1]北京计算机应用与仿真技术研究所,北京100854

出　　处：《应用数学学报》2000年第1期130-140,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金

摘　　要：本文针对一类分解的刚性大系统提出一种并行组合方法（ＰＣＭ）．该方法将系统分割的并行化方法与方法分割的并行化方法相结合，采用并行显式Ｒｕｎｇｅ－Ｋｕｔｔａ（ＲＫ）方法求解非刚性子系统，采用并行Ｒｏｓｅｎｂｒｏｃｋ方法求解刚性子系统．文中讨论了方法的相容阶，并对方法的收敛性进行了分析．数值结果表明该方法对于分解的刚性大系统的求解是实用和有效的。Through combination of the parallelism across the system with the parallelism across the method, Parallel Compound Methods (PCM) are constructed for the numerical solution of a class of partitioned stiff systems. Nonstiff equations are integrated by a parallel explicit RK method while an parallel Rosenbrock method is used for the stiff part of the system. Their order conditions and their convergence are discussed, and the numerical tests are conducted on a personal computer and a parallel computer.

关 键 词：并行算法 刚性大系统 并行组合方法 收敛性 

分 类 号：O241.81[理学—计算数学] O231[理学—数学]