| 线性与非线性发展方程计算稳定性的比较分析 |
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| 引用本文： | Lin Wantao,Ji Zhongzhen,Wang Bin. 线性与非线性发展方程计算稳定性的比较分析[J]. 大气科学进展, 2002, 19(4): 699-704. DOI: 10.1007/s00376-002-0009-9 |
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| 作者姓名： | Lin Wantao Ji Zhongzhen Wang Bin |
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| 作者单位： | Lin Wantao 1，Ji Zhongzhen 1，and Wang BinLASG，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100029 |
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| 基金项目： | Acknowledgments. This work was supported by the Outstanding State Key Laboratory Project of the National Natural Science Foundation of China under Grant No. 40023001, the Key Innovation Project of the Chinese Acade-my of Sciences under Grant No.KZCX2-208 |
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| 摘 要： | 针对性与非线性发展方程的几种差分格式，以一维线性和非线性平流方程为例，对线性与非线笥发展方程差分格式的计算稳定性进行了比较分析，揭示了差分格式结构和初值形式与计算稳定性的关系。理论分析和数值试验证明，线性与非线性发展方程差分格式的计算稳定性在本质上是完全不同的。
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| 关 键 词： | 发展方程 差分格式 计算稳定性 初值 |
| 收稿时间： | 2001-08-16 |
A comparative analysis of computational stability for linear and non-linear evolution equations |
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| Lin Wantao,Ji Zhongzhen,Wang Bin. A comparative analysis of computational stability for linear and non-linear evolution equations[J]. Advances in Atmospheric Sciences, 2002, 19(4): 699-704. DOI: 10.1007/s00376-002-0009-9 |
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| Authors: | Lin Wantao Ji Zhongzhen Wang Bin |
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| Affiliation: | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| Abstract: | For several difference schemes of linear and non-linear evolution equations, taking the one-dimensional linear and non-linear advection equations as examples, a comparative analysis for computational stability is carried out and the relationship between non-linear computational stability, the construction of difference schemes, and the form of initial values is discussed. It is proved through comparative analysis and numerical experiment that the computational stability of the difference schemes of the non-linear evolution equation are absolutely different from that of the linear evolution equation. |
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| Keywords: | evolution equation difference scheme computational stability initial value |
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