兰州大学机构库 >数学与统计学院
一类刚性大系统的并行计算方法
Alternative TitleThe 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 AbstractThrough 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
Identifierhttps://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.
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