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math.NA2022
High-Order Discretization of Backward Anisotropic Diffusion and Application to Image Processing
Lorella Fatone, Daniele Funaro
Anisotropic diffusion is a well recognized tool in digital image processing, including edge detection and denoising. We present here a particular nonlinear time-dependent operator…
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…