Lectures related to Newton-Krylov-hookstep Methods

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

Covers numerical methods for root finding, focusing on the secant and Newton's methods.

Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.

Covers high order methods for space discretisation in linear differential systems.

Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.