On March 5, 2026, the Institute of Multidisciplinary Mathematics hosted a lecture entitled “Methodology for the mathematical and computational modeling of complex systems,” given by retired professor Antonio Caselles of the Universitat de València.
During the session, held at the IMM seminar, Professor Caselles presented the methodology developed by his research group for the construction of mathematical and computational models applied to the study of complex systems. These models are designed to serve as support tools in decision-making about real systems and the problems to be analyzed or solved.
The lecture began with a reflection on the role of the scientific method in the modeling process, from which a general methodology for addressing the analysis of complex systems was constructed. Throughout the presentation, different types of models used in this field were presented, including qualitative, semi-quantitative, and quantitative models, as well as deterministic and stochastic approaches. The latter, as explained by the speaker, are particularly useful for estimating the reliability and robustness of the results obtained through simulations.
Professor Caselles also highlighted the importance of experimental design and computer simulations as key tools for analyzing model behavior and evaluating different possible scenarios. In this context, he also demonstrated some of the computer tools used by his group to facilitate the modeling and simulation process.
The talk aroused considerable interest among the attendees, who participated actively in the subsequent question and answer session, generating an enriching debate on the possibilities and challenges of mathematical modeling in the study of complex systems.
