/Numerical-methods

Primary LanguagePython

This package contains simple methods for solving various numerical problems which include :-

  • Solving system of linear equations - Gauss elimination, Jacobi, LU decomposition, Gauss-Siedel
  • Finding real roots of a function - Bisection method, Newton method, Secant method
  • Numerical Integration - Midpoint, Simpson, Trapezodial, Composite Simpson, Composite Trapezodial
  • Solving first order ODEs - Euler method, Runge-Kutta Method(Rk1 and Rk4), Heun's Method, Ralston's Method
  • Solving second order ODEs - Finite difference, Shooting Method
  • 1D Interpolation - Linear, Vandermonde, Lagrange
  • Numerical Differentiation - Richardson's Extrapolation