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numcompmethods's Introduction

简介

数值计算方法(Numerical Computational Methods)中的典型方法的代码实现。

实现的方法

  • 非线性方程求根
    • 二分法
    • 牛顿法
    • 弦截法
  • 解线性方程组
    • 高斯消去法
    • 高斯列主元消去法
    • LU分解法
    • Jacobi迭代法
    • Gauss-Seidel迭代法
    • 逐次超松弛迭代法
  • 插值与拟合
    • 拉格朗日插值法
    • 牛顿插值法
    • 埃尔米特插值法
    • 三次样条插值法
    • 曲线拟合的最小二乘法
  • 数值积分与微分
    • 牛顿-柯特斯求积公式
    • 复化梯形公式
    • 复化辛普森公式
    • 龙贝格算法
    • 基于插值的数值微分
  • 常微分方程初值问题
    • 欧拉公式
    • 改进的欧拉公式
    • 龙格-库塔方法

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