首页 | 本学科首页   官方微博 | 高级检索  
     检索      

二阶导数的小波多分辨表示与有限差分表示比较
引用本文:袁修贵,黄诚.二阶导数的小波多分辨表示与有限差分表示比较[J].数学理论与应用,2004,24(3):65-69.
作者姓名:袁修贵  黄诚
作者单位:中南大学数学科学与计算技术学院,长沙,410083
摘    要:有限差分法所用的基函数虽然具有紧支撑性,但它的光滑性较差,基于小波基的导数多分辨描述方法,具有很好的局部性和光滑性.本导出了二阶导数的多分辩表示公式,并与有限差分表示进行了比较分析.

关 键 词:光滑性  二阶导数  表示公式  紧支撑  小波基  基函数  有限差分  多分辨  局部性  描述方法

Comparison of the finite difference expression with the multiresolution expression for the second derivation
Yuan Xiugui Huang Cheng.Comparison of the finite difference expression with the multiresolution expression for the second derivation[J].Mathematical Theory and Applications,2004,24(3):65-69.
Authors:Yuan Xiugui Huang Cheng
Abstract:The bases of the finite difference expression for the second derivation has the properties of compactly supported,but less smooth.The multiresolution expression has the properties of compactly support and good smooth,because of supported wavelet bases.In the paper,we proposed the formula of the multiresolution representation for the second derivation,and compared their difference.
Keywords:Wavelet Multiresolution Finite Difference Derivation Projection
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号