曲线拟合方法的选择

目 录

摘要 1

前言 2

1 问题提出 3

2 插值介绍 4

2.1拉格朗日公式求解 4

2.1.1 算法分析 52.1.3 计算结果 8

2.1.4 计算量分析 8

2.1.5 图形绘制与分析 8

2.2 逐次线性插值公式求解 9

2.2.1 算法分析 10

2.2.2 程序设计 10

2.2.3 计算结果 12

2.2.4 计算量分析 12

2.3 牛顿插值公式求解 13

2.3.1 算法分析 13

2.3.2 程序设计 14

2.3.3 计算结果 15

2.3.4 计算量分析 16

2.3.5 图形绘制与分析 16

3 拟合介绍 173.1.1 算法分析 183.1.3 计算结果 213.1.5 图形绘制与分析 23

结论 25

参考文献 26

致谢 27

附录 28附2 拉格朗日插值求解系数的具体流程图 29

摘 要关键词：插值；拟合；数值计算方法；应用数学；程序设计。

Abstract

Curve fitting is successive part of the numerical computation methods. We use the Lagrange interpolation, linear interpolation, Newton interpolation and least squares polynomial. Given several discrete data of chlorine phosphorus density of the pollutions in the label, At the same time, we analysis the method and it’s programming, and compares the work quantity and maps the cure graphics of all kinds of methods, discusses the advantages and the disadvantages of the different methods to work quantity and it’s graphics and then work out which method is the best way under the certain circumstance.

Key word: Interpolation ;fitting; Value computational method; applied mathematics; Procedure design.