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Southwest Petroleum University

数值分析

Southwest Petroleum University via XuetangX

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Overview

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本课程主要向学生介绍数值分析的基本方法以及数值分析中的一些成果；包含代数插值、函数逼近拟合、数值积分、解线性代数方程组的直接法、解线性代数方程组的迭代法、解非线性方程的迭代法、常微分方程初值问题的数值解法等基本内容。

Syllabus

  • 第一章 误差
    • 第二章 插值与拟合
      • 2.2拉格朗日插值
    • 第三章 数值积分
      • 第四章 解线性方程组的直接方法
        • 第五章 解线性方程组的迭代法
          • 5.2雅可比迭代法与高斯-赛德尔迭代法
        • 第六章 解线性方程组的迭代法
          • 6.2不动点迭代法及其收敛性
          • 6.4牛顿法
        • 第七章 常微分方程数值解
          • 第八章 数值分析期末考试

            Taught by

            Ding Xianfeng and Yan Yang

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