北华大学学报（自然科学版）Issue(4)：421-426,6.DOI:10.11713/j.issn.1009-4822.2015.04.001
基于双二次B样条的拟插值算子的构造
Construction of Quasi-interpolation Operators by Biquadratic B-spline
摘要
Abstract
Using biquadratic B-spline basis function,we have constructed a bivariate quasi-interpolation operator (Lf)(x,y) for data points {(xi,yj), f(xi,yj)},(i=0,1,…,n; j= 0,1,…,m). The quasi-interpolation operator ( Lf ) ( x, y ) can reproduce quadratic polynomial, and approximation error of the quasi-interpolation operator is given. Finally,we give some numerical experiments to illustrate the feasibility of the operator.关键词
拟插值/B样条/多项式再生性/逼近误差Key words
quasi-interpolation/B-spline/polynomial reproduction/approximation error分类
数理科学引用本文复制引用
高福顺,姜元政..基于双二次B样条的拟插值算子的构造[J].北华大学学报（自然科学版）,2015,(4):421-426,6.基金项目
吉林省教育厅科学技术研究项目(2013192) （2013192）
