A Type of C^2 Piecewise Rational Interpolation

作     者：PAN Jian-xun BAO Fang-xun ZHAO Yi-bo 

作者机构：Department of BasicShandong Women's University School of MathematicsShandong University 

基　　金：Supported by National Nature Science Foundation of China(No.61070096) the Natural Science Foundation of Shandong Province(No.ZR2012FL05,No.2015ZRE27056) 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2015年第25卷第1期

页      码：40-47页

摘      要：A family of piecewise rational quintic interpolation is presented. Each interpolation of the family, which is identified uniquely by the value of a parameter ai, is of C^2 continuity without solving a system of consistency equations for the derivative values at the knots, and can be expressed by the basis functions. Interpolant is of O（h^r） accuracy when f（x）∈C^r[a,b], and the errors have only a small floating for a big change of the parameter ai, it means the interpolation is stable for the parameter. The interpolation can preserve the shape properties of the given data, such as monotonicity and convexity, and a proper choice of parameter ai is given.

主 题 词：spline Cr^2 rational interpolation error estimates monotonicity preserving convexity preserving 

学科分类：07[理学] 070102[070102] 0701[理学-数学类] 

D　O　I：10.19583/j.1003-4951.2015.01.007

馆 藏 号：203878672...