| Kuramoto-Sivashinsky方程的交替分组方法 |
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| 引用本文： | 左进明,张耀明,张天德,李娜.Kuramoto-Sivashinsky方程的交替分组方法[J].山东大学学报(理学版),2011,46(12):29-32,43. |
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| 作者姓名： | 左进明 张耀明 张天德 李娜 |
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| 作者单位： | 1. 山东理工大学理学院,山东淄博,255049
2. 山东大学数学学院,山东济南,250100 |
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| 基金项目： | 山东省自然科学基金重点资助项目(ZR2010AZ003); 山东省中青年科学家科研奖励基金资助项目(BS2009HZ015) |
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| 摘 要： | 对Kuramoto-Sivashinsky方程给出了一组非对称的差分格式,用这些差分格式构造了一种适合于并行计算的交替分组方法。证明了方法的线性稳定性。数值试验表明,这种方法在空间方向具有接近四阶的精度。
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| 关 键 词： | Kuramoto-Sivashinsky方程 并行计算 交替分组方法 线性绝对稳定 |
The alternating group method for the Kuramoto-Sivashinsky equation |
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| ZUO Jin-ming,ZHANG Yao-ming,ZHANG Tian-de,LI Na.The alternating group method for the Kuramoto-Sivashinsky equation[J].Journal of Shandong University,2011,46(12):29-32,43. |
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| Authors: | ZUO Jin-ming ZHANG Yao-ming ZHANG Tian-de LI Na |
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| Institution: | ZUO Jin-ming1,ZHANG Yao-ming1,ZHANG Tian-de2,LI Na2(1.School of Science,Shandong University of Technology,Zibo 255049,Shandong,China,2.School of Mathematics,Shandong University,Jinan 250100,China) |
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| Abstract: | A group of asymmetric difference schemes to approximate the Kuramoto-Sivashinsky equation are given.Using the schemes,the alternating group method for solving the Kuramoto-Sivashinsky equation is constructed.The scheme is linearly unconditionally stable by analysis of the linearization procedure,and is directly used on the parallel computer.Numerical experiments show the method has near the fourth order ratio of convergence in space. |
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| Keywords: | Kuramoto-Sivashinsky equation parallel computation alternating group method linear unconditionally stable |
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