Computational Methods

This repository contains implementations of basic numerical methods and computational simulations for solving mathematical problems including system of equations, integration, differentiation, and particle dynamics.

Files

• 2bodysystem.py - Two-body system simulation with gravitational attraction and orbital dynamics
• Jacobian_method.py - Iterative solver for linear systems using the Jacobian method
• fibonacci.ipynb - Monte Carlo simulations including random walks, diffusion processes, and various statistical methods
• gauss elimination.py - Interactive implementation of Gaussian elimination for solving linear systems
• gauss_elimination.py - Gaussian elimination solver with predefined coefficient matrices and pivoting
• montecarlointegration.py - Monte Carlo method for numerical integration with visualization
• multiparticlesystem.ipynb - Multi-particle system dynamics with force calculations and trajectory visualization