| 一类刚性大系统的并行组合方法 |
| |
| 引用本文： | 陈丽容,刘德贵.一类刚性大系统的并行组合方法[J].应用数学学报,2000,23(1):130-140. |
| |
| 作者姓名： | 陈丽容 刘德贵 |
| |
| 作者单位： | 北京计算机应用与仿真技术研究所,北京,100854 |
| |
| 基金项目： | 国家自然科学基金资助项目． |
| |
| 摘 要： | 本文针对一类分解的刚性大系统提出一种并行组合方法（ＰＣＭ），该方法将系统分割的并行化方法与并行化方法相结合，采用并行显式Ｒｕｎｇｅ－ｋｕｔｔａ（ＲＫ）方法求解非刚性子系统，采用并行Ｒｏｓｅｎｂｒｏｃｋ方法求解刚性子系统，文中讨论了方法的相容阶、并对方法的收敛性进行了分析，数值结果表明该方法对于分解的刚性大系统的求解是实用和有效的。
|
| 关 键 词： | 并行算法 刚性大系统 并行组合方法 收敛性 |
PARALLEL COMPOUND METHODS FOR SOLVING A CLASS OF STIFF SYSTEMS |
| |
| CHEN LIRONG,LIU DEGUI.PARALLEL COMPOUND METHODS FOR SOLVING A CLASS OF STIFF SYSTEMS[J].Acta Mathematicae Applicatae Sinica,2000,23(1):130-140. |
| |
| Authors: | CHEN LIRONG LIU DEGUI |
| |
| Institution: | CHEN LIRONG
,LIU DEGUI
(Beijing Institute of Computer Application and Simulation Technology Sciences, Beijing 100854) |
| |
| Abstract: | Through combination of the parallelism across the system with the parallelism across the method, Parallel Compound Methods (PCM) are constructed for the numerical solution of a class of partitioned stiff systems. Nonstiff equations are integrated by a parallel explicit RK method while an parallel Rosenbrock method is used for the stiff part of the system. Their order conditions and their convergence are discussed, and the numerical tests are conducted on a personal computer and a parallel computer. |
| |
| Keywords: | Parallel algorithms stiffly large systems parallel combined method order condition convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
