Experiments that I had done in numerical calculation class.
####textbook
Numerical Methods Using MATLAB, Fourth Edition, John H. Mathews, Kurtis D. Fink
####List of Work for each Chapter
-
Chapter 1 Preliminaries
- Error Analysis
- Hornor's Method for Polynomial Evaluation
-
Chapter 2 The solution of nonlinear equation
- Fixed point iteration
- Bisection Method
- Newton-Raphson Method
- Acceleration of Newton-Raphson Iteration
- False Position or Regular False Method
-
Chapter 3 The solution of Linear System AY=B
- Gauss-Seidel Iteration
- Iteratice Methods for Linear System
- PA=LU: Factorization with Pivoting
- Plane Rotation
- Solving a Tridiagonal System
-
Chapter 4 Interpolation and Polynomial Approximation
- Lagrange Approximation
- Newton Polynomials
-
Chapter 5 Curve Fitting
- Least-squares Line
- Least-squares Polynomial
- Richardson
- Trogonometric Polymomial
- Cubic Splines
- Bezer Line
-
Chapter 6 Numerical Differentiation
- Differentiation Using Limits and Extrapolation
- Differtiation Based on N+1 Nodes
-
Chapter 7 Numerical Integration
- Adaptive Quadrature
- Composite Trapezoidal and Simpson's Rule
- Recursive Rules and Romberg Integration
-
Chapter 8 Numerical Optimization
- Fibonacci Search for a Muninum
- Goledn Search for a Minimum
- Loacal Mininum Search Using Quadratic Interpolation
- Nelder-Mead's Minimization Method
- Steepest Descent ot Gradient Method