| 矩形网格上Barycentric-Newton型混合有理插值 |
| |
| 引用本文： | 陈艳秋,王家正.矩形网格上Barycentric-Newton型混合有理插值[J].西北纺织工学院学报,2012(3):387-391. |
| |
| 作者姓名： | 陈艳秋 王家正 |
| |
| 作者单位： | [1]安徽大学数学科学学院,安徽合肥230601 [2]合肥师范学院数学系,安徽合肥230601 |
| |
| 摘 要： | 将重心有理插值与Newton型多项式插值结合起来,利用偏差商的递推算法,得到了满足矩形网格上所给插值条件的二元有理插值函数,给出了插值的特征性质和对偶形式.该二元有理插值函数它继承了重心有理插值的计算量小、没有极点、数值稳定性好和多项式插值的线性性质等优点.最后通过数值例子验证了所给方法的有效性.
|
| 关 键 词： | 重心有理插值 偏差商 多项式插值 特征性质 |
Barycentric-Newton type blending rational interpolants over rectangular grids |
| |
| CHEN Yan-qiu,WANG Jia-zheng.Barycentric-Newton type blending rational interpolants over rectangular grids[J].Journal of Northwest Institute of Textile Science and Technology,2012(3):387-391. |
| |
| Authors: | CHEN Yan-qiu WANG Jia-zheng |
| |
| Affiliation: | 1.College of Mathematics and Science,Anhui University,Hefei 230601,China; 2.Department of Mathematics,Hefei Normal University,Hefei 230601,China) |
| |
| Abstract: | By means of recursive algorithm of the partial divided differences,a bivariate rational interpolating function which interpolates the given support points over rectangular has been constructed based on Barycentric rational interpolation and Newton-type interpolation polynomial,its characteristic properties and duality schemes are deduced.The new rational interpolation inherited the small calculation quantity,no poles,good numerical stability of barycentric rational interpolations and the favorite linear interpolation of Newton polynomial.At last,numerical examples are given to show the effectiveness of the constructed method. |
| |
| Keywords: | barycentric rational interpolant partial difference polynomial interpolant characteristic properties |
| 本文献已被 维普 等数据库收录！ |
