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physics.class-ph2021
Electromagnetic Fields Simulating a Rotating Sphere and its Exterior
Daniele Funaro
Vector displacements expressed in spherical coordinates are proposed. They correspond to electromagnetic fields in vacuum that globally rotate about an axis and display many circul…
math.NA2021
A decision-making machine learning approach in Hermite spectral approximations of partial differential equations
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
The accuracy and effectiveness of Hermite spectral methods for the numerical discretization of partial differential equations on unbounded domains, are strongly affected by the amp…
math.NA2021
Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system
Daniele Funaro, Gianmarco Manzini
Spectral approximation based on Hermite-Fourier expansion of the Vlasov-Poisson model for a collisionless plasma in the electro-static limit is provided, by including high-order ar…