求解刚性常微分方程的并行Rosenbrock方法  

PARALLEL ROSENBROCK METHODS FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS

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

出　　处：《计算数学》1998年第3期251-260,共10页Mathematica Numerica Sinica

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.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.

关 键 词：并行算法 常微分方程 Rosenbrock公式 实时仿真 

分 类 号：O241.81[理学—计算数学]