## 留言板

 引用本文: 经慧芹. 基于Taylor算子的二元向量切触有理插值[J]. 应用数学和力学, 2016, 37(4): 404-415.
JING Hui-qin. Bivariate Vector-Valued Osculatory Rational Interpolation Based on the Taylor Operator[J]. Applied Mathematics and Mechanics, 2016, 37(4): 404-415. doi: 10.3879/j.issn.1000-0887.2016.04.008
 Citation: JING Hui-qin. Bivariate Vector-Valued Osculatory Rational Interpolation Based on the Taylor Operator[J]. Applied Mathematics and Mechanics, 2016, 37(4): 404-415.

## 基于Taylor算子的二元向量切触有理插值

##### doi: 10.3879/j.issn.1000-0887.2016.04.008

###### 作者简介:经慧芹（1966—），女，副教授，硕士（E-mail: kmjhq@163.com）.
• 中图分类号: O241.3

## Bivariate Vector-Valued Osculatory Rational Interpolation Based on the Taylor Operator

• 摘要: 提出了一种基于Taylor算子的二元向量切触有理插值的新方法.首先应用已知的节点定义各阶有理插值基函数，再用相应的向量值和各阶偏导数值建立一种类似二元函数Taylor公式的新型插值算子，最后进行组合运算，得出二元向量一阶、二阶切触有理插值函数的显式表达式，并自然推广到k阶情形，还给出了误差估计.算例表明，该方法计算简单，过程公式化，有应用价值.
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##### 出版历程
• 收稿日期:  2015-11-16
• 修回日期:  2015-12-29
• 刊出日期:  2016-04-15

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