Numerical Methods Solutions (Python)

This repository contains Python implementations of various numerical methods and algorithms covered in the "Numerical Methods" course at Sofia University "St. Kliment Ohridski".

🚀 Implemented Methods

🔍 Root Finding

• Bisection Method
• Newton-Raphson Method

🔢 Linear Systems

• Gaussian Elimination (with pivoting)
• Iterative Methods: Jacobi & Gauss-Seidel iterations

📈 Interpolation & Approximation

• Lagrange Polynomials
• Newton's Divided Differences
• Hermite Interpolation (The Hermite Problem)

📐 Numerical Integration (Quadrature)

• Rectangle Rule
• Trapezoidal Rule
• Simpson's Rule

🛠️ Tools Used

• NumPy: Used for efficient vector and matrix operations.
• Matplotlib: Used for visualizing approximations, function plots, and error convergence.