工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2011年
2期
279-284
,共6页
紧标架小波%B-样条%微分关系
緊標架小波%B-樣條%微分關繫
긴표가소파%B-양조%미분관계
tight framelets%B-spline%differential relations
利用尺度函数的细分矩阵,本文给出了一种构造具有微分关系紧标架小波的方法.其中的紧标架小波是Chui意义下的小波.而且以B-样条为基础,作者构造了具体的例子.此结果可应用于某些微分方程的数值解.
利用呎度函數的細分矩陣,本文給齣瞭一種構造具有微分關繫緊標架小波的方法.其中的緊標架小波是Chui意義下的小波.而且以B-樣條為基礎,作者構造瞭具體的例子.此結果可應用于某些微分方程的數值解.
이용척도함수적세분구진,본문급출료일충구조구유미분관계긴표가소파적방법.기중적긴표가소파시Chui의의하적소파.이차이B-양조위기출,작자구조료구체적례자.차결과가응용우모사미분방정적수치해.
By employing the refinable matrix of the scaling function, the method for constructing a pair of tight framelets with differential relations on the interval is given in this paper.In which the tight framelets is defined in the sense of Chui's definition. Moreover, an explicit example is constructed by using B-spline.This result can be applied to solve some differential equations.
