Nonlinear Equations: Fixed Point Method

Related lectures (30)

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

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

Explores the convergence of Newton's method for solving nonlinear equations and the importance of selecting appropriate initial guesses.

Explores iterative methods for solving linear systems with a focus on error control.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers the fixed point method for solving nonlinear equations and discusses convergence properties.

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

Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.

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

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

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