Lectures related to Heun's method

Explains Newton's method of order 2 for finding function zeros.

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.

Explains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.

Explores ordinary differential equations and numerical integration methods for stability and accuracy.