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| 关于矩形节点上二元有理插值的注记 | |
| 引用本文： | 荆科,段炼,何宏好.关于矩形节点上二元有理插值的注记[J].合肥工业大学学报(自然科学版),2009,32(2). |
| 作者姓名： | 荆科 段炼 何宏好 |
| 作者单位： | 1. 合肥工业大学,数学系,安徽,合肥,230009 2. 嘉兴学院,数学与信息工程学院,浙江,嘉兴,314001 3. 扬州大学,数学科学学院,江苏,扬州,225002 |
| 基金项目： | 安徽省自然科学基金，合肥工业大学学生创新基金 |
| 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. |
| 关 键 词： | 存在性 二元有理插值函数 差商 |
Note to bivariate rational interpolation on rectangular grids |
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| JING Ke,DUAN Lian,HE Hong-hao.Note to bivariate rational interpolation on rectangular grids[J].Journal of Hefei University of Technology(Natural Science),2009,32(2). | |
| Authors: | JING Ke DUAN Lian HE Hong-hao |
| Institution: | 1.Dept.of Mathematics;Hefei University of Technology;Hefei 230009;China;2.College of Mathematics and Information Engineering;Jiaxing University;Jiaxing 314001;3.School of Mathematical Science;Yangzhou University;Yangzhou 225002;China |
| Abstract: | 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. |
| Keywords: | existence bivariate rational interpolation function difference quotient |
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