ExperimentsOfNumericalMethod

Experiments of Numerical Method Course in ChongQing University (2013 Spring Term) Using MATLAB

This course was given by Prof.Chen (Rong Chen) in College of Energy Engineering at ChongQing University. This course interseted me in 2013 Spring Term, I worked really hard for every experiment that include both mathematical analysis and computer programming. In that time I know little about Computer Science and Advance Mathematics, As a result I using Word rather than LaTex for Editor and Using MATLAB to program and drawing. So, a young boy named John start his voyage in numerical method and computer science's world.

GitHub is a place to share, so I decided to share this works and experience with these happy and crazy with exciting time.

Contents

Documents: All documents were writen in Word.

1. Hw1 folder: About numerical stability, round-off erro and formula for numerical computing. Report of experiment running result.
2. Hw2 folder: About Newton interpolation. Report of experiment running result.
3. Hw3 folder: About Least-Square-Multiplication data fiting Method. Report of experiment running result.
4. Hw4 folder: About Variation Step Size Trapezoid Formula in Numerical Integration Method. Report of experiment running result.
5. Hw5 folder: About Gauss-Elimination Method to direct solve Linear Algebra Equations. Report of experiment running result.
6. Hw6 folder: About Gauss-Seidel and SOR Iteration Method to solve Linear Algebra Equations. Report of experiment running result.
7. Hw7 folder: About Bisection and Newton-Rapson Methods to solve Root of Non-linear Equation. Report of experiment running result.
8. Hw8 folder: ABout Euler's Method and Second Order Runge-Kutta Method and Variation Step Size BS23(RK23) Method to solve Oridinary Differential Equation. Report of experiment running result.

Sourcefiles: Soucefiles were writen in MATLAB and C language.

1. Numerical Stability: corresponds to Hw1.
2. NewtonInerpolationPolynomial and LagrangeInterpolationPolynomial: corresponds to Hw2.
3. LeastSquareMethod: corresponds to Hw3.
4. NumericalIntegration: corresponds to Hw4.
5. GaussElimination: corresponds to Hw5.
6. GaussSeidelandSORIterationMethod: corresponds to Hw6.
7. BisectionMethod and NewtonMethod: corresponds to Hw7.
8. EulerMethod and PredictorCorrectorEulerMethod and RungeKuttaMethod: correspond to Hw8.

Yang Yang (John) @ Peking University 21:15 28/12/2017