Concept of Stability in ODEs

This lecture covers the concept of stability in ordinary differential equations, focusing on error checks, absolute stability of schemas, and equilibrium points. It explains the conditions for a system to be considered stable, the role of vectors in stability analysis, and the notion of global attractors. The instructor discusses numerical schemes like Euler's method and their application in solving ODEs. The lecture also explores different types of stability, such as absolute and unconditional stability, and provides examples of stability analysis in various systems.