APM_3S012_EP - Numerical Methods for ODEs (2025-2026)

In APM_3S012_EP “Numerical Methods for ODEs”, we will introduce numerical scheme to simulate ordinary differential equations. We will start by Euler schemes (explicit and implicit) and understand how the notions of stability and consistency can be used to study these methods. We will then consider Runge-Kutta schemes and apply the different methods to particular applications, e.g. the N-body problem.