摘要
本文主要给出了矩形区域在Ⅱ型剖分下的一类带有边界条件的二元三次样条超限插值，并估计了它的逼近度。
Let D denote the rectangular triangulated by a so-called Type-Ⅱtriangulation △<sub>m</sub>n<sup>2</sup>,In this paper,we discuss the transfinite interpolation and appronimation on △<sub>m</sub>n<sup>2</sup> by bivariate cubic splince,with some boundary conditions,we obtain the existence and uniqueness and express of interpolation splines and esitimate their approximation order.
作者
宣培才
Xuan Peicai (Department of Computer Sciences)
基金
浙江省自然科学基金
关键词
Ⅱ型三角剖分
二元三次样条
Ⅰ型边界条件
超限插值
逼近度
type-Ⅱtriangulation
boundary condition
bivariate cubic splines
transfinite interpolation
approximation order
