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Kinetic theory provides a powerful mathematical framework for describing the collective behavior of large systems of interacting agents. Originally developed in the context of rarefied gas dynamics, kinetic models have progressively expanded their scope to include a wide range of applications such as plasma physics, granular media, traffic flow, collective behavior, and socio-economic systems. The increasing complexity of these models, often characterized by multiscale interactions, high dimensionality, and nonlinear dynamics, has posed significant challenges for both their theoretical analysis and their numerical approximation.
This workshop has the aim to bring together researchers working at the intersection of kinetic theory, numerical analysis, and applications to complex systems. Particular attention will be devoted to the development of efficient and reliable numerical methods for kinetic and mean-field models, including multiscale schemes, structure-preserving discretizations, uncertainty quantification, and data-driven approaches. By fostering dialogue between mathematicians, computational scientists, and researchers from related disciplines, the meeting seeks to highlight recent advances in the field and stimulate new collaborations.
During this event we will honor Lorenzo Pareschi's 60th birthday.