华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (5): 51-58.

• 数学 统计学 • 上一篇    下一篇

一类刚性非自治系统的组合分块解法

丁新涛1,2, 陈果良2   

  1. 1. 安徽师范大学 数学系, 安徽 芜湖 241000; 2. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2005-02-10 修回日期:2005-06-03 发布日期:2006-09-25
  • 通讯作者: 陈果良

Combined Method for a Class of Partitioned Large Stiff Nonautonomous Systems(Chinese)

DING Xin-tao1,2, CHEN Guo-liang2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu Anhui 241000, China 2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2005-02-10 Revised:2005-06-03 Published:2006-09-25
  • Contact: CHEN Guo-liang2

摘要： 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.

关键词: 机群, 刚性大系统, 组合算法, MPI, 机群, 刚性大系统, 组合算法, MPI

Abstract: 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

Key words: stiff large system, combined method, MPI, cluster, stiff large system, combined method, MPI

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