| 一类刚性系统基于线性多步法的并行计算方法 |
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| 引用本文： | 李洪波,华志勇,杨进.一类刚性系统基于线性多步法的并行计算方法[J].上海理工大学学报(社会科学版),2006,28(3):273-278. |
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| 作者姓名： | 李洪波 华志勇 杨进 |
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| 作者单位： | 上海理工大学理学院 上海200093 |
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| 摘 要： | 针对一类分解的刚性系统,提出了一类并行组合方法.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.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,该方法对于求解分解的刚性系统是可行的.
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| 关 键 词： | 刚性系统 并行计算 并行组合方法 绝对稳定界 |
Parallel algorithm for a class of stiff systems by use of linear multistep method |
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| LI Hong-bo,HUA Zhi-yong,YANG Jin.Parallel algorithm for a class of stiff systems by use of linear multistep method[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2006,28(3):273-278. |
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| Authors: | LI Hong-bo HUA Zhi-yong YANG Jin |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Through combining the parallelism across the system with the parallelism across the method,parallel combined methods are constructed for the numerical solution of a class of partitionedstiff systems.Nonstiff equations are solved by an explicit linear multistep approach while an implicit linear multistep approach is used for the stiff part of the system.The order condition,convergence and stability are discussed.The numerical tests are conducted on a parallel computing system and the results demonstrate the method is effective for the class of partitioned stiff systems. |
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| Keywords: | stiff systems parallel computation parallel combined method absolute stable bound |
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