Lectures in course MATH-250: Advanced numerical analysis I

Covers the convergence of the progressive Euler method for ODE systems.

Explores digital integration methods, stability, and implicit schemes in Runge-Kutta methods.

Explores stability and convergence in systems of ordinary differential equations.

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.