A TVD Type Wavelet-Galerkin Method for Hamilton-Jacobi Equations

被引：0

作者：

Lingyan Tang Songhe Song Department of Mathematics and System ScienceScience SchoolNational University of Defense TechnologyHunan China ^{[410073
]}

机构：

来源：

ActaMathematicaeApplicataeSinica | 2007年 / 02期

关键词：

Hamilton-jacobi equation; wavelet-galerkin method; daubechies wavelet; TVD method;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

<正> 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.

引用

页码：303 / 310

页数：8

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