四方向网上二次双周期样条的点插值逼近  

POINT-EVALUATION INTERPOLATION AND APPROXIMATION BY DOUBLE-PERIODIC QUADRATIC SPLINES

作　　者：刘焕文[1] 

机构地区：[1]广西民族学院

出　　处：《高等学校计算数学学报》1993年第3期195-206,共12页Numerical Mathematics A Journal of Chinese Universities

摘　　要：文[1]、[2]分别讨论了四方向网上二次和三次双周期样条的带导数型插值及逼近。本文讨论的是二次双周期样条的点插值逼近。结果表明,在边界区域上的逼近阶为hω(D^3f,h),在内部区域则可达h^2ω(D^3f,h)。This paper deals with a kind of point-evaluation interpolation by double-periodic quadratic splines. The existence and uniqueness of the interpolation are discussed, and the approximation degree is given. The results indicate that the approximation is of orderhw(D3 f,h) in the boundary region and h2 w(D3 f,h) in the interior region.

关 键 词：双周期样条 插值 逼近 四方向网 

分 类 号：O241.3[理学—计算数学]