| Burgers方程的交替分组显式方法 |
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| 引用本文： | 陈景良,陆金甫,肖世江.Burgers方程的交替分组显式方法[J].清华大学学报(自然科学版),1994(3). |
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| 作者姓名： | 陈景良 陆金甫 肖世江 |
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| 作者单位： | 清华大学应用数学系 |
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| 摘 要： | 本文以求解对流扩散方程的Ｓａｍａｒｓｋｉｉ格式为基础，构造了新的交替分组显式（ＡＧＥ）格式，采用线性化稳定性分析方法得到了格式的无条件（弱）稳定性。模型问题的数值结果表明，本方法比Ｅｖａｎｓ的ＡＧＥ方法好。
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| 关 键 词： | Burgers方程 交替分组显式（AGE）方法 线性化稳定性 Samarskii格式 |
Alternating group explicit (AGE) method for Burgers equation |
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| Chen Jingliang, Lu Jinfu, Xiao Shijiang.Alternating group explicit (AGE) method for Burgers equation[J].Journal of Tsinghua University(Science and Technology),1994(3). |
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| Authors: | Chen Jingliang Lu Jinfu Xiao Shijiang |
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| Institution: | Department of Applied Mathematics Tsinghua University |
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| Abstract: | n alternating group explicit (AGE) method for solving Burgers equations isdeveloped. The method is based on the implicit Samarskii,s scheme rather than the implicit centered difference scheme for solving the convection --diffusion problems. The unconditional stability is obtained by using the method of linear stability analysis. Numerical results of the model problem show that the method presented in this paper is betterthan Evan,s method. |
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| Keywords: | Burgers equation alternating group explicit(AGE)method linearization stability Samarskii scheme |
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