| 构造高分辨率格式的反扩散混合法 |
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| 引用本文： | 李荣华,张威威.构造高分辨率格式的反扩散混合法[J].东北数学,2004,20(4):441-456. |
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| 作者姓名： | 李荣华 张威威 |
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| 作者单位： | Institute of Mathematics Jilin University，Changchun，130012，Institute of Mathematics Jilin University，Changchun，130012 |
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| 摘 要： | In this paper we study a kind of mixed anti-diffusion method for partial differntial equations. Firstly, we use the method to construct some difference schemes for the conservation laws. The schemes are of second order accuracy and are total variation decreasing (TVD). In particular, there are only three knots involved in the schemes. Secondly, we extend the method to construct a few high accuracy difference schemes for elliptic and parabolic equations. Numerical experiments are carried out to illustrate the efficiency of the method.
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| 关 键 词： | 守恒定律 全变量递减 E-模式 混合逆扩散法 非线性双曲线偏微分方程 |
Mixed Anti-diffusion Method for High Resolution Schemes |
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| LI Rong-huaand ZHANG Wei-wei.Mixed Anti-diffusion Method for High Resolution Schemes[J].Northeastern Mathematical Journal,2004,20(4):441-456. |
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| Authors: | LI Rong-huaand ZHANG Wei-wei |
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| Institution: | InstituteofMathematics,JilinUniversity,Changchun,130012 |
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| Abstract: | In this paper we study a kied of mixed anti-diffusion method for partial differntial equations. Firstly, we use the method to construct some difference schemes for the conservation laws. The schemes are of second order accuracy and are total variation decreasing (TVD). In particular, there are only three knots involved in the schemes. Secondly, we extend the method to construct a few high accuracy difference schemes for elliptic and parabolic equations. Numerical experiments are carried out to illustrate the efficiency of the method. |
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| Keywords: | Conservation law TVD-scheme E-scheme mixed anti-diffusion method high resolution scheme |
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