USING THE REFINEMENT EQUATION FOR EVALUATING INTEGRALS OF WAVELETS

被引：145

作者：

DAHMEN, W ^{[1
]}

MICCHELLI, CA ^{[1
]}

机构：

[1] IBM CORP,THOMAS J WATSON RES CTR,YORKTOWN HTS,NY 10598

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 02期

关键词：

WAVELETS; INNER PRODUCTS; INTEGRALS; STATIONARY SUBDIVISION; COMPRESSED SCHEMES; ASYMPTOTIC EXPANSIONS; EIGENVECTOR-MOMENT RELATIONS;

D O I：

10.1137/0730024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Wavelet Galerkin Method for solving partial differential equations leads to the problem of computing integrals of products of derivatives of wavelets. This paper studies the problem from the point of view of stationary subdivision schemes. One of the main results is to identify these integrals as components of the unique solution of a certain eigenvector-moment problem associated with the coefficients of the refinement equation. Asymptotic expansions for the corresponding subdivision schemes form an important ingredient of our approach.

引用

页码：507 / 537

页数：31

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