Computational Physics

This repository contains the concepts taught in the computational physics course, translated to MATLAB code.

Topics

• Newton Raphson Method for a system of non linear equations
• Gaussian Elimination
• Polynomial Interpolation, Linear/Quadratic/Cubic Spline Interpolation, Thomas Algorithm
• Polynomial Curve Fitting (Orthogonal polynomials such as Legendre, Hermite, Chebyshev etc may be used in some files)
• Numerical Integration: Rectangular, Trapezoidal, Simpson's 1/3rd, Gaussian Quadrature
• Numerical solutions of a system of differential equations:
  • Euler's method
  • Runge Kutta 2nd order
  • Runge Kutta 4th order
  • Shooting method for differential equations with boundary conditions
• Partial Differential Equations:
  • Finite Difference method: Forward, Backward, Central schemes
  • Dirichlet Boundary Conditions, Newmann Boundary Conditions, Ghost boundary points
• Monte Carlo Techniques
  • Generating numbers satisfying a probability distribution
  • Random walk problems, Brownian Motion etc
  • Monte Carlo simulation of classical paramagnetism
  • Monte Carlo integration in n-dimensional space
  • Ising Model