Composite Barycentric Rational Interpolation with High-Accuracy

摘要：

It is well known that rational interpolation sometimes gives much better approximations than polynomial interpolation, especially for large sequences of points, but it is difficult to avoid poles, unattainable points and control the occurrence of poles. In |1|, a family of barycentric rational interpolants that have no poles and high approximation orders is given based on composite algorithm for the barycentric rational interpolation and the polynomial interpolation. In this paper, we propose a new composite barycentric rational interpolants with high-accuracy, regardless of the distribution of the points. The error estimation is discussed and a numerical example is given to show the effectiveness of our new method.

关键词： barycentric rational interpolation composite accuracy

作者: Qianjin Zhao Yuwu Zhang Zhixiang Yin Shouan Zhang

作者单位: College of Science,Anhui University of Science and Technology,Huainan,China College of Science,Anhui University of Science and Technology,Huainan,China Basis department,Lu an V Basis department,Lu an Vacation technology college,Lu an,China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Network Technology(ICCNT 2011)(2011第三届IEEE计算机与网络技术国际会议)

会议地点: 太原

会议语种:英文

页码: 165-169

在线出版日期: 2011-02-26（万方平台首次上网日期，不代表论文的发表时间）