| 色散方程高阶差分格式的并行迭代法 |
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| 引用本文： | 张青洁,王文洽.色散方程高阶差分格式的并行迭代法[J].山东大学学报(理学版),2008,43(2):8-11. |
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| 作者姓名： | 张青洁 王文洽 |
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| 作者单位： | 山东大学数学与系统科学学院,山东,济南,250100 |
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| 摘 要： | 给出了逼近色散方程的高阶隐式差分格式,构造了一种适合并行计算的交替分组迭代格式(NAGI)并证明了此并行迭代格式的收敛性。数值实验表明,此高阶迭代格式具有精度高、收敛快的特点,同时我们也给出了本文方法与(AGI)的数值比较。
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| 关 键 词： | 色散方程 有限差分 交替分组迭代格式 高阶精度 绝对稳定 并行计算 |
| 文章编号： | 1671-9352(2008)02-0008-04 |
| 修稿时间： | 2007年11月5日 |
A high order parallel iterative scheme for the dispersive equation |
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| ZHANG Qing-jie,WANG Wen-qia.A high order parallel iterative scheme for the dispersive equation[J].Journal of Shandong University,2008,43(2):8-11. |
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| Authors: | ZHANG Qing-jie WANG Wen-qia |
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| Institution: | Shool of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | A high order implicit scheme was presented for the dispersive equation and a corresponding alternating group iterative scheme was derived, which has high accuracy and quick ratio of convergence. The unconditional stability for the implicit scheme and the convergence for the alternating group iterative scheme were also proved. A numerical experiment conformed to theoretical results. A numerical comparison between the scheme mentioned in this paper (NAGI) and a similar known method (AGI) was also presented. |
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| Keywords: | dispersive equation finite difference alternating group iterative scheme high accuracy unconditional stability parallel computation |
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