北华大学学报(自然科学版)
北華大學學報(自然科學版)
북화대학학보(자연과학판)
JOURNAL OF BEIHUA UNIVERSITY(NATURAL SCIENCE)
2015年
4期
421-426
,共6页
拟插值%B样条%多项式再生性%逼近误差
擬插值%B樣條%多項式再生性%逼近誤差
의삽치%B양조%다항식재생성%핍근오차
quasi-interpolation%B-spline%polynomial reproduction%approximation error
对数据点{(xi,yj), f(xi,yj)},(i=0,1,…,n;j=0,1,…,m),应用双二次B样条基函数构造了一种双变量拟插值算子( Lf)( x,y),证明了算子( Lf)( x,y)具有二次多项式再生性,并给出了其逼近误差,最后通过数值模拟说明了该算子的可行性。
對數據點{(xi,yj), f(xi,yj)},(i=0,1,…,n;j=0,1,…,m),應用雙二次B樣條基函數構造瞭一種雙變量擬插值算子( Lf)( x,y),證明瞭算子( Lf)( x,y)具有二次多項式再生性,併給齣瞭其逼近誤差,最後通過數值模擬說明瞭該算子的可行性。
대수거점{(xi,yj), f(xi,yj)},(i=0,1,…,n;j=0,1,…,m),응용쌍이차B양조기함수구조료일충쌍변량의삽치산자( Lf)( x,y),증명료산자( Lf)( x,y)구유이차다항식재생성,병급출료기핍근오차,최후통과수치모의설명료해산자적가행성。
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.