This is the second edition of this Summer School previously held in 2023. It aims at teaching advanced methodologies in computational condensed matter physics and is targeted towards students at the doctoral or master level. The program covers the following topics: Refresher in Many-Body Condensed Matter Theory; Dynamical mean-field theory for model and its combination with ab-initio electronic structure methods; Monte Carlo Methods and Continuous-time Quantum Monte Carlo; Two-particle response functions and Many-Body Perturbation Theory, Screening, GW and GW+EDMFT.