| 一类刚性大系统的并行计算方法 | |
| Alternative Title | The Parallel Computing Methods for A Class of Big Stiff Systems |
| 李洪波 | |
| Thesis Advisor | 张国凤 |
| 2003-06-13 | |
| Degree Grantor | 兰州大学 |
| Place of Conferral | 兰州 |
| Degree Name | 硕士 |
| Keyword | 并行计算 刚性大系统 并行组合方法 |
| Abstract | 本文针对一类分解的刚性大系统提出一类并行组合方法。该方法将系统分割与方法分割的并行化方法相结合，采用显式线性多步方法求解非刚性子系统，采用隐式线性多步方法求解刚性子系统。文中讨论了方法的相容阶，收敛性和数值稳定性。数值试验结果表明该方法对于分解的刚性大系统的求解是可行的。 |
| Other Abstract | Through combination of the parallelism across the system with the parallelism across the method,Parallel Compound Methods are constructed for the numerical solution of a class of partitioned stiff systems.Nonstiff equations are integrated by a explicit linear multistep method while a imlicit linear multistep is used for the stiff part of the system. Their order condition,convergence and stability are discussed.The numerical test are conducted on a parallel computing system and the results demonstrate the method is viable to this class of partitioned stiff system. |
| URL | 查看原文 |
| Language | 中文 |
| Document Type | 学位论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/224492 |
| Collection | 数学与统计学院 |
| Recommended Citation GB/T 7714 | 李洪波. 一类刚性大系统的并行计算方法[D]. 兰州. 兰州大学,2003. |
| Files in This Item: | There are no files associated with this item. | ||||
