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| A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations | |
| 引用本文： | Ling-yan Tang Song-he Song. A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations[J]. 应用数学学报(英文版), 2007, 23(2): 303-310. DOI: 10.1007/s10255-007-0372-5 |
| 作者姓名： | Ling-yan Tang Song-he Song |
| 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 |
| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10571178）.Acknowledgment. We thank the anonymous referee for useful suggestions. |
| 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. |
| 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： | 2005-09-29 |
| 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. DOI: 10.1007/s10255-007-0372-5 | |
| Authors: | Ling-yan Tang Song-he Song |
| Affiliation: | (1) Department of Mathematics and System Science, Science School, National University of Defense Technology, Hunan, 410073, China |
| 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. |
| Keywords: | Hamilton-jacobi equation wavelet-galerkin method daubechies wavelet TVD method |
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