Nonlinear Equations: Methods and Convergence

Related lectures (30)

Page 3 of 3

Covers fixed-point methods and high-order techniques for solving nonlinear equations.

Covers the convergence analysis of iterative methods and the conditions for convergence.

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

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Explores fixed point methods for non-linear equations and dynamic models in MATLAB.

Explores the fixed point method for nonlinear equations and its convergence proof.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.

Explores the resolution of ODEs and the Banach fixed-point theorem.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.