Nonlinear Equations: Bisection and Fixed-Point Methods

Related lectures (32)

Page 3 of 4

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

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

Discusses stopping criteria for fixed point iteration in nonlinear equations and how to manage errors.

Covers the Newton method for finding zeros of functions using data interpolation.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Covers the local inverse theorem, diffeomorphisms, contraction mappings, and the Jacobian determinant.

Covers fixed point methods for finding zeros of non-linear equations.

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

Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.

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