Numerical Analysis（数值分析）

王正盛

目录

  • 1 Introduction
    • 1.1 Course Videos
    • 1.2 Learning Objectives
    • 1.3 Lecture Notes
  • 2 Ch2 Solution of Nonlinear Equations
    • 2.1 Learning Objectives
    • 2.2 Course Videos
    • 2.3 Lecture Notes
  • 3 Ch3 Solution of Systems of Linear Equations
    • 3.1 Learning Objectives
    • 3.2 Course Videos-Gauss-LU
    • 3.3 Course Video-Norms-Iterative
    • 3.4 Course Videa-Jacobi Iterative Method
    • 3.5 Course Video-G-S Iterative Method
    • 3.6 Lecture Notes
  • 4 Ch4 Approximation of function：Interpolation
    • 4.1 Learning Objectives
    • 4.2 Introduction-Video
    • 4.3 Lagrange Interpolation Polynomial-Video
    • 4.4 Newton's Divided Difference Polynomial-Video
    • 4.5 Lecture Notes
  • 5 Ch5 Numerical Integration
    • 5.1 Learning Objectives
    • 5.2 Introduction; Numerical integration based on interpolation
    • 5.3 Trapezoid rule Simpson’s rule
    • 5.4 Composite Rule
    • 5.5 Lecture Notes
  • 6 Ch6 Solution of Ordinary Differential Equations
    • 6.1 Learning Objectives
    • 6.2 Introduction
    • 6.3 Euler-Taylor-RK
    • 6.4 Lecture Notes
  • 7 Numerical Methods with MATLAB
    • 7.1 Learning Objectives
    • 7.2 Lecture Notes
Course Videos





Numerical analysis involves the study, development and analysis of algorithms for obtaining numerical solutions to various mathematical problems. 

Frequently, numerical analysis is called the Mathematics of Scientific Computing or Numerical Methods or Computational Methods.