تحليل عددي 1 - NUMERICAL ANALYSIS 1

Iterative solution of nonlinear equations (bisection, false position, fixed-point iteration, Newton’s Raphson’s). Solution of linear algebraic systems by direct or iterative techniques. Approximation of functions by polynomials and different polynomial interpolation techniques (Lagrange, divided difference, forward, backward). Linear and quadratic fitting for large sets of data and related concepts. Numerical differentiation and numerical integration (rectangle, trapezoid, Simpson’s) approaches and their features. Introduction to initial value problems (IVP) and their numerical solution.