精品文档---下载后可任意编辑毕业论文（设计）Hermite 插值的若干问题讨论Study of Hermite interpolation problems申请学位：学士院系：数学与信息科学学院专业：信息与计算科学专业姓名：学号： 2xxxxxxxx6 指导老师：xxxx （副教授） 2013 年 05 月 25 日完成地点：烟台大学[摘要]本文主要是具体讨论 Hermite 插值的若干问题，主要介绍了二重 Hermite 插值在具体应用中出现的实际问题，并通过几个例子说明建立 Hermite 插值多项式的方法、两点三次Hermite 插值及其余项、Hermite 插值公式的相关问题。并编程计算来比较几种方法。通过推导和证明得知三次 Hermite 插值已经较高，再高可能发生 Runge 现象。关键词:二重 Hermite 插值多项式，唯一性定理，误差定理[Abstract]This paper is detailed to discuss some problems of the Hermite interpolation, mainly introduced the double Hermite interpolation in the specific application of practical problems, and through several examples establish Hermite interpolation polynomial method, two point three times of Hermite interpolation and its remainder term, Hermite interpolation formula of the related problems. And the program calculation to compare several methods. By derivation and proof that cubic Hermite interpolation has been high, high Runge phenomenon may occur againKeywords: Double Hermite interpolation polynomial, the uniqueness theorem, the theorem of the error目 录1、Hermite 插值概述 1.1 Hermite 插值定义………………………………………………………….1 1.2 Hermite 插值公式的推导.......................................2 几个重要的定理……………………………………………………………42、两点三次插值及其余项 2.1 两点三次插值 …………………………………………………………….32.2 两点三次插值的余项………………………………………………………42.3 三次埃尔米特插值多项式…………………………………………………62.4 二重 Hermite 插值多式……………………………………………………73、重节点插商与 Hermmite 插值 3.1 重节点插商……………………………………………...
