Absolute Stability of Euler Progressive Method

This lecture covers the concept of absolute stability of the Euler Progressive method, focusing on the stability condition and comparison of solutions for different values of h. The instructor explains the stability criteria and provides examples of stability analysis for various h values, emphasizing the importance of absolute stability. The lecture also discusses the retrograde Euler method for h values of 0.9 and 1.1, illustrating the differences in stability between the two. Through numerical examples and theoretical explanations, students gain a deep understanding of the absolute stability requirements for numerical methods in solving differential equations.