Numerical Methods

• Short Description: Pratical exercises for the curricular unit of Numerical Methods.
• Institution: FEUP
• Course: MIEIC
• Curricular Unit: MNUM

Numerical methods implemented during course

Real Zeros

• Bisection Method
• False Position Method
• Newton Method
• Picard Peano Method

Linear Equations

• Guass Elimination
• Gauss-Jacobi Method
• Gauss-Seidel Method

Quadrature and Cubature

• Trapeze Rule
• Simpson Rule

Integration of diferential equations

• Euler Method
• Second Order Runge-Kutta Method
• Fourth Order Runge-Kutta Method

Optimization

Unidimensional Optimization

• Unidimensional Search
• Thirds Method
• Golden Ratio
• Quadratic Interpolation

Multidimensional Optimization

• Gradient Method
• Quadric Method
• Levenberg-Marquardt Method

Tools Used

• Python
• C++
• Maxima

Disclaimer

This repository was used for educational purposes. The solutions here may not be the most efficient ones. You can use the code at your own risk.