矩形区域上的双三次叠样条插值及其在数值积分中的应用  

Double Cubic Spline-on-Spline Interpolation on Rectangular Region and Its Application on Numerical Integration

作　　者：周芳[1] 傅凯新[1] 

机构地区：[1]湘潭大学

出　　处：《数学理论与应用》1999年第2期50-54,共5页Mathematical Theory and Applications

摘　　要：木文给出矩形域上双三次叠样条插值问题的提法、计算格式及误差的渐近展式．并且基于双三次叠样条插值构造了一个高精度的数值积分公式，它是三次叠样条数值积分公式的一个推广．In this paper,We have given the definition of double cubic Spline-on--Spline on rectangular region,calculation scheme and asymptotic expansions of the error. Moreover, we obtain a high - accuracy numerical integration formula by using double cubic spline-on-spline interpolation. It is the extension of numerical integration formula of cubic spline-on-spline.

关 键 词：叠样条 数值积分公式 双三次 矩形区域 齐次边界条件 三次样条函数 样条插值 SPLINE 端点条件 函数空间 

分 类 号：O241.3[理学—计算数学]