In this fourth lecture of the "Numerical Methods" series from the II School on Modelling Infectious Disease Dynamics, Professor Renato Coutinho from UFABC continues exploring computational approaches for modeling disease spread. Delve into advanced numerical techniques essential for simulating and analyzing infectious disease dynamics over a 97-minute session. Part of the ICTP-SAIFR's comprehensive program scheduled for May 12-18, 2025, this class builds upon previous lectures in the series, providing mathematical and computational tools necessary for epidemiological modeling. Learn methodologies that help researchers predict, understand, and respond to infectious disease outbreaks through quantitative analysis.