Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (5): 51-58.

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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

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

CLC Number: