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

被引：0
作者：
Ling-yan Tang Song-he Song Department of Mathematics and System Science
机构：
来源：
Acta Mathematicae Applicatae Sinica | 2007年 / 02期
基金：
中国国家自然科学基金;
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：
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
收藏
页码：303 / 310
页数：8
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