Jacobi Method: Part IIntroduces the Jacobi method for solving linear systems and determining convergence.
Jacobi MethodPresents the spectral radius of a matrix and the Jacobi method.
Gauss-Seidel MethodCovers the Gauss-Seidel method for solving linear systems iteratively with progressive substitution.
Convergence CriteriaExplores convergence criteria in optimization algorithms, emphasizing the importance of stopping conditions and attention to large values.
Richardson ConvergenceExplains convergence criteria and optimal choices for Richardson iteration method, including error estimation and matrix conditioning.
Numerical DerivativeCovers the concept of numerical derivative and the progressive difference approach for computing derivatives.
Existence UnicitéExplores the Lipschitz condition for functions and its implications on the uniqueness of solutions to the Cauchy problem.
Other Methods: Crank-NicolsonCovers alternative numerical methods for solving differential equations, including Crank-Nicolson and Heun's method.
Implicit or ExplicitExplores implicit and explicit methods in numerical analysis using Euler's paths.
