Seminario di Dipartimento del dott. Alessandro Alla procedura selettiva SC 01/A5, SSD MAT08.
Lunedì 29 aprile alle ore 12:00, in Sala di Consiglio, si terrà il Seminario di Dipartimento del dott. Alessandro Alla, risultato vincitore di una procedura selettiva per una posizione da PA nel SC 01/A5, SSD MAT08.
Speaker: Alessandro Alla
Titolo: A computational framework for large-scale dynamics: model reduction, data-driven modeling and optimal control
Abstract:
This talk provides an overview of my research interests which rely on the theoretical and computational aspects of optimal control problems, with a particular emphasis on the Hamilton-Jacobi-Bellman(HJB) equations, model order reduction, and data-driven modeling. Many complex mathematical models encountered in real-world scenarios pose challenges in numerical simulations due to their complexity and large scale. To tackle this, model order reduction replaces the original problem with a surrogate model, identifying a subspace that captures the essential dynamics of the underlying nonlinear Partial Differential Equations (PDEs) and projecting these PDEs onto that subspace. By reducing the problem dimension, the original nonlinear PDEs can be replaced by smaller systems of ordinary differential equations, enabling efficient and accurate solution of the approximate problem. Applications to Turing patterns and fluid dynamics will be shown.
