User-Guide : Numerical-Analysis-Project

This project is part of academic course - Numerical-Analysis in SCE - Shamoon College of Engineering.

This project is contain mathematics method that we learned and used in order to solve numerical analysis problems.

Roots approximation methods:

1. The Bisection method.
2. Newton Raphson method
3. Secant method.

Approximation methods:

1. Poly Approximation
2. Linear Approximation
3. LaGrange
4. Neville
5. Cubic Spline
6. Vandermonde

Matrix approximation methods:

1. Gauss Siedle
2. Gauss elimination
3. Jacobi
4. SOR - Successive Over Relaxation

Integrals approximation methods:

1. Romberg
2. Simpson
3. Trapezoid
4. Gaussian Quadrature

Prerequisites

system requirements:

• Python >= 3.7
• scipy
• NumPy

Open folder for this project and clone this repository use follow command:

git clone git@github.com:yanivbenzvi/numerical-analysis1.git

After Python installion, open cmd and navigate to project folder and run the follow command.:

python pip install -r requirements.txt

Project Structure

The tree below displays the main files and folders structure.

├── docs                                // docs folder
├── lib                                 // code libary for the math calculation function.
|   ├── Bisection_method.py
|   ├── CubicSpline_method.py
|   ├── Gauss_method.py
|   ├── jacobi_method.py
|   ├── Lagrange_interpolation.py
|   ├── LinearApproximation.py
|   ├── Neville_method.py
|   ├── NewtonRephson.py
|   ├── polynomialAprox_method.py
|   ├── RangeKutta_method.py
|   ├── Romberg_method.py
|   ├── Scant_method.py
|   ├── Simpson_method.py
|   ├── Sor_method.py
|   ├── Trapezoidal_method.py
|   ├── Trapezoidal_method.py
|   └── vandermonde_method.py
├── test                                // test folder
├── main.py                             // main file
├── requirements.txt                    // Project requirements - installation by python pip.
├── .gitignore                          // Files to not track in git.

#Running the test

This project contain unit test for every method we use. The tests is based on analytic solution. In order to run the tests we used Pycharm ide.

test folder > right click > Run 'nosetest in test'
or
ctrl + shift + F10

Authors

• Yaniv Ben Zvi
• Boris Leviken
• Shiri Rom
• Omri Elmalam
• Liron Glickman
• Nizan Rosh

##Acknowledgments