This line of research aims to develop Mathematical and Computational Modeling, stimulating interdisciplinary research with an emphasis on the areas of Transport Phenomena, Fluid Dynamics, Non-Newtonian Fluids, Porous Media, Electromagnetism, Biological Flows, Material Sciences and diffusion of knowledge.

This line of research has as its main objective the development of innovative techniques for solving a wide range of scientific and technological problems, from the conception and analysis of mathematical and computational models, their applications in the in-depth understanding of phenomena of varying natures, as well as in solving associated inverse problems, up to the optimization of complex multiphysics systems.

This line of research covers bioinformatics, molecular modeling and modeling of biological systems. In these areas, research aims to study biological problems with applications in human health, the environment, biodiversity and biotechnology. Research involves the development and use of computational, statistical and mathematical methods aimed at understanding biological systems, their functioning, molecular structures, complexity, interactions and evolutionary relationships.

This line of research focuses on signal control and filtering problems in dynamic systems, discrete signal processing, and stochastic methods in finance. In this context, it is of special interest to analyze the potential of machine learning algorithms for solving classic open problems, and new challenges related to the control of distributed systems (networked control systems).

This line of research focuses on the development of techniques in the areas of massively parallel, distributed and cloud computing, quantum computing, scientific visualization, image processing, virtual and augmented reality, big data, data science and artificial intelligence, impacting the research and development of robust and efficient models, methods, algorithms and computational systems.