求解刚性常微分方程的并行Rosenbrock方法

作     者：陈丽容 刘德贵 

作者机构：北京计算机应用与仿真技术研究所 

出 版 物：《计算数学》 (Mathematica Numerica Sinica)

年 卷 期：1998年第20卷第3期

页      面：251-260页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：并行算法 常微分方程 Rosenbrock公式 实时仿真 

摘      要：In this paper a class of parallel Rosenbrock Formulas in real-time simulation is constructed for the multiprocessor system. A-stable formulas of two-stage thirdorder and A(α)-stable formulas with α≈87° of three-stage forth-order are constructed. The numerical examples demonstrate that these formulas can solve the initial problems for the stiff ordinary differential equations with high efficiency.