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math.NA2024
Dissipation-dispersion analysis of fully-discrete implicit discontinuous Galerkin methods and application to stiff hyperbolic problems
Maya Briani, Gabriella Puppo, Giuseppe Visconti
The application of discontinuous Galerkin (DG) schemes to hyperbolic systems of conservation laws requires a careful interplay between space discretization, carried out with local…
math.OC2024
Controllability of continuous networks and a kernel-based learning approximation
Michael Herty, Chiara Segala, Giuseppe Visconti
Residual deep neural networks are formulated as interacting particle systems leading to a description through neural differential equations, and, in the case of large input data, t…