一类二次最小支集样条小波插值及其应用  

A class of quadratic minimum supported spline wavelet interpolations and application

作　　者：徐应祥[1] 

机构地区：[1]西北师范大学数学与信息科学学院 甘肃兰州730070

出　　处：《合肥工业大学学报（自然科学版）》2008年第2期291-295,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：文章以二次最小支集样条小波为基函数,构造了一类二次最小支集样条小波插值函数,仔细讨论了计算过程和误差.再将其应用于数值积分,给出了一类求数值积分的新公式,分析了误差,最后给出一个数值例子。实际应用证明,由该插值解求得的近似值精度较高。Using the quadratic minimum supported spline wavelet as the basis function, a class of quadratic minimum supported spline wavelet interpolations are constructed. The computation and the error of the interpolating function are studied. Then the numerical integration is analyzed, and a new formula for numerical integration and the error are given. A numerical example is presented, which proves that satisfactory accuracy can be obtained with the method in the paper.

关 键 词：最小支集 样条小波 插值 数值积分 

分 类 号：O241.82[理学—计算数学] O241.5[理学—数学]