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| 求解二维波动方程初边值问题的显隐混合校正并行算法 | |
| 引用本文： | 张亮,史汉生,徐定华,李刚.求解二维波动方程初边值问题的显隐混合校正并行算法[J].宁夏大学学报(自然科学版),2006,27(2):147-151. |
| 作者姓名： | 张亮 史汉生 徐定华 李刚 |
| 作者单位： | 1. 解放军理工大学,气象学院,江苏,南京,211101 2. 解放军理工大学,理学院,江苏,南京,211101 3. 东华理工学院数学与信息科学学院,江西,抚州,344000 4. 96169部队,广东,梅州,514783 |
| 摘 要： | 提出了一种基于区域分解法的显隐混合校正并行算法．通过对二维波动方程的数值试验，发现该算法具有无条件稳定性，其数值计算结果与整个区域上采用隐格式的计算结果相当，计算精度明显好于Kuznetson算法和改进的Kuznetson算法，计算时间也比Kuznetson算法和改进的Kuznetson算法的时间少，且小于隐格式计算时间的一半． |
| 关 键 词： | 显隐混合校正并行算法 隐格式 Kuznetson算法 改进的Kuznetson算法 |
| 文章编号： | 0253-2328（2006）02-0147-05 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006年4月10日 |
Explicit-Implicit Alternate Difference Parallel Algorithm with Corrector for Two-Dimensional Wave Equation |
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| Zhang Liang,Shi Hansheng,Xu Dinghua,Li Gang.Explicit-Implicit Alternate Difference Parallel Algorithm with Corrector for Two-Dimensional Wave Equation[J].Journal of Ningxia University(Natural Science Edition),2006,27(2):147-151. | |
| Authors: | Zhang Liang Shi Hansheng Xu Dinghua Li Gang |
| Institution: | 1. Institute of Meteorology, PLA University of Science and Technology, Nanjing 211101 ,China; 2. Institute of Sciences, PLA University of Science and Technology, Nanjing 211101 ,China; 3. School of Mathematics and Informational Sciences,East China Institute of Technology, Fuzhou 344000,China; 4. 96169 Unit of PLA, Meizhou 514783, China |
| Abstract: | Explicit-implicit alternate difference parallel algorithm with corrector is introduced in this paper.This algorithm is based on domain decomposition method.Through some numerical experiments of two-dimensional wave equation,it is shown that this algorithm is stable and its results are as many as those of the implicit algorithm and the results are much better than those of the Kuznetson algorithm and the improved Kuznetson algorithm.The computing time is less than that of the Kuznetson algorithm and the improved Kuznetson algorithm,and even less than half of the implicit algorithm's computing time. |
| Keywords: | explicit-implicit alternate difference parallel algorithm with corrector implicit algorithm Kuznetson algorithm improved Kuznetson algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |