Higher Order Methods: Iterative Techniques

Related lectures (30)

Page 1 of 3

Covers the topic of nonlinear equations and the fixed point method.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.

Explains Newton's method of order 2 for finding function zeros.

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores the convergence of fixed point methods and the implications of different convergence rates.