فيزياء رياضية 2 - MATHEMATICAL PHYSICS II

This course introduce the importance of Interpolation techniques ( Lagrange interpolation, Neville's algorithm, Linear interpolation, Polynomial interpolation, Cubic spline, Rational function interpolation), Numerical differentiation (Forward difference, Central difference and higher order Methods and Higher order derivatives), Numerical Integration (Rectangular method, Trapezoid method and Simpson method). It tackles the solution of nonlinear equations (Bisection method, Newton's method, Method of secants, and Brute force method), differential equations (Euler method, numerical errors and instabilities, Runge-Kutta method). It may also include Monte-Carlo methods (Random number generators, Distribution functions, Acceptance and rejection methods, Inversion method).