| A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations |
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| 作者姓名： | Ling-yan Tang Song-he Song |
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| 作者单位： | Ling-yan Tang Song-he Song Department of Mathematics and System Science，Science School，National University of Defense Technology，Hunan 410073，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10571178）.Acknowledgment. We thank the anonymous referee for useful suggestions. |
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| 摘 要： | In this paper,we use Daubechies scaling functions as test functions for the Galerkin method,and discuss Wavelet-Galerkin solutions for the Hamilton-Jacobi equations.It can be proved that the schemesare TVD schemes.Numerical tests indicate that the schemes are suitable for the Hamilton-Jacobi equations.Furthermore,they have high-order accuracy in smooth regions and good resolution of singularities.
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| 关 键 词： | Hamilton-Jacobi方程 小波-珈辽金法 TVD法 解 多分辨率分析 |
| 收稿时间： | 29 September 2005 |
| 修稿时间： | 2005-09-292006-12-08 |
A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations |
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| Ling-yan Tang Song-he Song.A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations[J].Acta Mathematicae Applicatae Sinica,2007,23(2):303-310. |
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| Authors: | Ling-yan Tang Song-he Song |
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| Institution: | (1) Department of Mathematics and System Science, Science School, National University of Defense Technology, Hunan, 410073, China |
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| Abstract: | In this paper,we use Daubechies scaling functions as test functions for the Galerkin method, and discuss Wavelet-Galerkin solutions for the Hamilton-Jacobi equations.It can be proved that the schemes are TVD schemes.Numerical tests indicate that the schemes are suitable for the Hamilton-Jacobi equations. Furthermore,they have high-order accuracy in smooth regions and good resolution of singularities. |
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| Keywords: | Hamilton-jacobi equation wavelet-galerkin method daubechies wavelet TVD method |
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