数值分析的实验报告，很完整的，希望对大家有用~



课题一: 线性方程组的迭代法

一、实验内容

二、实验要求

1、体会迭代法求解线性方程组，并能与消去法做以比较；

2、分别对不同精度要求，如 由迭代次数体会该迭代法的收敛快慢；

3、对方程组2，3使用SOR方法时，选取松弛因子 =0.8，0.9，1，1.1，1.2等，试看对算法收敛性的影响，并能找出你所选用的松弛因子的最佳者；

4、给出各种算法的设计程序和计算结果。

课题二:数值积分

一、实验内容

（4）　　I =

二、实验要求

1、　　编制数值积分算法的程序；

2、　　分别用两种算法计算同一个积分，并比较其结果；

3、　　分别取不同步长 ，试比较计算结果（如n = 10, 20等）；

4、　　给定精度要求 ，试用变步长算法，确定最佳步长。

三、目的和意义

-One issue: the iteration of linear equations

First, the experimental contents

Second, the requirement of experiment

1, realize iterative method for solving linear equations, and can do to compare with the elimination　

2, respectively, for different precision requirements, such as experience by the number of iterations the speed of the iterative methods　

3, 2,3 use of the equations SOR method, the selection of the relaxation factor = 0.8,0.9,1,1.1,1.2, etc. Just look at the convergence of the algorithm

Of impact, and can find you the best relaxation factor chosen were　

4, given the design of algorithms and calculation procedures.

Issue 2: Numerical Integration

First, the experimental contents

(4) I =

Second, the requirement of experiment

1, the procedures for the preparation of numerical integration algorithm　

2, two algorithms were used to calculate the same points, and to compare their results　

3, were taken out of sync length, compare the results (eg, n =