摘要
文章给出了一种可以直接计算基于矩形节点的二元有理插值函数的分母在节点处的值;进而判断相应的二元有理插值函数是否存在,如果存在时,给出它的具体表达式;最后利用差商的知识对文中的方程组进行简化,与已有结果相比,大大减少了计算量。
This paper presents a method for directly computing the denominator values of bivariate rational interpolants on the rectangular grids and determining whether or not the corresponding expression of the bivariate rational interpolant exists. And if it does exist, its concrete expression is given. By using the knowledge of difference quotient, the described equation system is simplified, and a lot of computing is reduced in comparison with the results in related literature.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期282-285,共4页
Journal of Hefei University of Technology：Natural Science
基金
安徽省自然科学基金资助项目(070416227)
合肥工业大学学生创新基金资助项目(xs08079)
关键词
存在性
二元有理插值函数
差商
existence
bivariate rational interpolation function
difference quotient
