Fixed Point Methods: Non-linear Equations

Related lectures (30)

Page 2 of 3

Addresses solving non-linear equations and systems numerically using fixed point and Newton's methods.

Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.

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

Covers the Picard method for solving nonlinear equations using fixed point iteration.

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

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

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

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

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