| PR格式的时间并行算法及其数值实验 |
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| 引用本文： | 刘轶中,明翠玲. PR格式的时间并行算法及其数值实验[J]. 贵州大学学报(自然科学版), 2011, 28(4): 11-13 |
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| 作者姓名： | 刘轶中 明翠玲 |
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| 作者单位： | 贵州大学理学院,贵州贵阳,550025 |
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| 基金项目： | 贵州省省长优秀科技人才项目(黔省专(2008)19); 贵州大学大学生创新性实验计划项目[贵大创字(2011)] |
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| 摘 要： | 二维抛物型方程的传统并行算法只是在空间层上是并行的,在时间层上是步进的.本文将PR格式改造为一类恰是在时间层上是并行的,在空间层上是步进的.该格式绝对稳定,局部截断误差为O( k2-2+h2).文中的数值实验报告验证了理论分析的正确性.
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| 关 键 词： | 二维抛物型方程 PR格式 并行格式 稳定性 截断误差 |
The Time Parallel Algorithms and Numerical Experiments of PR Format |
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| LIU Yi-zhong,MING Cui-ling. The Time Parallel Algorithms and Numerical Experiments of PR Format[J]. Journal of Guizhou University(Natural Science), 2011, 28(4): 11-13 |
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| Authors: | LIU Yi-zhong MING Cui-ling |
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| Affiliation: | LIU Yi-zhong,MING Cui-ling(College of Science,Cuizhou University,Guiyang 550025,China) |
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| Abstract: | The traditional parallel algorithm of two-dimensional parabolic equation is parallel only on the direction of the space,while it is stepping on the direction of the time.The transformation of the PR format is parallel just on the direction of the time,while it is stepping on the direction of the space.This format is absolutely stable,the local truncation error is O(k2τ2+h2).This numerical experiments reports in the paper authentications the correctness of the theoretical analysis. |
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| Keywords: | two-dimensional parabolic equation PR format parallel format stability truncation error |
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