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math.NA2026
Can the perfect Swiss alphorn be designed? A combination of reduced basis method and machine learning for shape optimization
Fabio Marcinnò, Clément Froidevaux, Leonardo Bocchieri +3
In this work, we investigate the shape optimization of a Swiss alphorn to achieve resonance frequencies as close as possible to prescribed target notes. We construct an accurate ge…
math.NA2025
Mimetic finite difference schemes for transport operators with divergence-free advective field and applications to plasma physics
Micol Bassanini, Simone Deparis, Paolo Ricci
In wave propagation problems, finite difference methods implemented on staggered grids are commonly used to avoid checkerboard patterns and to improve accuracy in the approximation…
math.NA2025
IMEX-RB: a self-adaptive implicit-explicit time integration scheme exploiting the reduced basis method
Micol Bassanini, Simone Deparis, Francesco Sala +1
In this work, we introduce a self-adaptive implicit-explicit (IMEX) time integration scheme, named IMEX-RB, for the numerical integration of systems of ordinary differential equati…