Advanced Analysis II: Homogeneous ODEs and Banach Spaces

Related lectures (30)

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

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Explores the existence and uniqueness of solutions for differential equations through local Lipschitz continuity and the Cauchy-Lipschitz theorem.

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

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

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

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

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

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

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.