组合RK-Rosenbrock方法及其稳定性分析  

COMBINED RK-ROSENBROCK METHODS AND THEIR STABILITY

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：《计算数学》2000年第3期319-332,共14页Mathematica Numerica Sinica

基　　金：国家自然科学基金

摘　　要：This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explicit RK method while a Rosenbrock method is used for the stiff subsystem. The paper discusses numerical stability, and the numerical tests are conducted on a multiprocessor system.This paper deals with a class of combined RK- Rosenbrock (CRKR) methods for a partitioned system of stiff differential equations based on the parallelism across the system. Nonstiff subsystem is integrated by a explicit RK method while a Rosenbrock method is used for the stiff subsystem. The paper discusses numerical stability, and the numerical tests are conducted on a multiprocessor system.

关 键 词：刚性大系统 稳定性 组合RK-Rosenbrock方法 

分 类 号：V414[航空宇航科学与技术—航空宇航推进理论与工程]