FEUP MIEIC MNUM

This repository has all of my work for the subject of Numerical Methods

Final Grade: 16

To do:

• Write on README.md all of the methods that I haven't done
• Maybe do them

List of Contents:

• Chapter 2 - Real Zeroes of Real Functions:
  • TP1 - Roots of Univariable Functions:
    • Babylonian Method
    • Bisection Method
  • TP2 - More Roots of Univariable Functions:
    • Bisection Method
    • False Position Method
    • Newton's Method
    • Picard-Peano's Method
  • TP3 - Roots of Multivariable Functions:
    • Newton's Method
    • Picard-Peano's Method
• Chapter 3 - System of Linear Equations:
  • TP4 - System of Linear Equations:
    • Gaussian Elimination Method
• Chapter 4 - Quadrature and Cubature:
  • TP5 - Numerical Integration of Univariable Functions:
    • Trapezium Rule
    • Simpson Rule
  • TP6 - Numerical (Double) Integration of Multivariable Functions:
    • Cubature (Simpson's Method)
• Chapter 5 - Integration of Ordinary Differential Equations:
  • TP7 - Integration of Differential Equations of Multivariable Functions:
    • Euler's Method
    • Improved Euler's Method
    • Runge-Kutta's 2nd Order Method
    • Runge-Kutta's 4th Order Method
  • TP8 - Integration of System of Differential Equations of Multivariable Functions:
    • Euler's Method
• Chapter 6 - Optimization:
  • TP9 - Unidimensional Search for Minima:
    • Thirds Method
    • Golden Method
    • Sequential Search Method
    • Quadratic Interpolation Method
  • TP10 - Multidimensional Search for Minima:
    • Gradient Method
    • Quadric Adjustment
    • Levenberg–Marquardt's Method (Pretty much mixing the above two methods, so kind of done)
• Previous (Solved) Exams:
  • 2015 (MIEIC)
  • 2017 (MIEIC)
  • 2018 (MIEA)