| 数值滤波的理论分析 |
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| 引用本文： | 张梦萍.数值滤波的理论分析[J].中国科学技术大学学报,1998,28(4):433-438. |
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| 作者姓名： | 张梦萍 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 基金项目： | 国家自然科学基金,中国科学院特别资助 |
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| 摘 要： | 采用差分方法的数值余效应理论———数值耗散和色散效应，特别是数值群速度效应，对数值滤波方法的设计、分析和改造，作出了比较深入的研究，第一次揭示了数值滤波的数值耗散，色散调节的机理和量级．并且利用新的方法进行了数值试验，效果是满意的．
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| 关 键 词： | 差分方法，数值耗散，数值色散，群速度效应，数值滤波 |
Theoretical Analysis of Numerical Filters |
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| Zhang Mengping,Liu Ruxun.Theoretical Analysis of Numerical Filters[J].Journal of University of Science and Technology of China,1998,28(4):433-438. |
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| Authors: | Zhang Mengping Liu Ruxun |
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| Abstract: | The analysis, design and modifiedtion of numerical filter method is discussed on the basis of the numerical remainder theory, that is,the dispersive and dissipative effect, especially numerical group velocity. The mechanism of adjusting dispersion and dissipasion, and quantitative order of numerical filter are shown for the first time. The numerical tests are obtained by the new method, and the results are satisfactory. |
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| Keywords: | numerical filter filter finite difference scheme numerical remainder effect group velocity |
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