拟贯穿剖分上的二元样条Lagrange插值  

Lagrange Interpolation by Bivariate Splines over Quasi-cross-cut Partitions

作　　者：朱春钢[1] 王仁宏[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024

出　　处：《数学年刊（A辑）》2009年第2期221-230,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.60373093;No.60533060;No.10726068;No.10801024)资助的项目.

摘　　要：分片代数曲线是经典代数曲线的推广.利用沿分片代数曲线插值以及分片代数曲线的Nther型定理,给出了一类构造拟贯穿剖分上的二元样条Lagrange插值适定结点组的一种方法,并给出具体算法与实例.The piecewise algebraic curve is a generalization of the classical algebraic curve. By using interpolation along a piecewise algebraic curve and NSther-type theorem, a method for construction Lagrange interpolation sets for bivariate spline spaces over quasi-cross-cut partitions is presented. Moreover, an algorithm for construction of Lagrange interpolation sets is given.

关 键 词：二元样条 LAGRANGE插值 分片代数曲线 Nther型定理 拟贯穿剖分 

分 类 号：O241.3[理学—计算数学]