Lectures in course MATH-251(c): Numerical analysis

Explores the stability analysis of ODE systems, focusing on convergence and stability criteria, with practical examples and theoretical explanations.

Focuses on a linear system of ordinary differential equations and stability analysis.

Explores methods for solving non-linear ODE systems and discusses stability conditions.

Explores the fixed point method for global convergence in solving nonlinear equations.

Explores the fixed point method for nonlinear equations and its convergence proof.

Explores the global convergence of the fixed point method for nonlinear equations.