2 papers
math.NA2025
Model reduction of parametric ordinary differential equations via autoencoders: representation properties and convergence analysis
Enrico Ballini, Marco Gambarini, Alessio Fumagalli +3
We propose a reduced-order modeling approach for nonlinear, parameter-dependent ordinary differential equations (ODE). Dimensionality reduction is achieved using nonlinear maps rep…
math.NA2024
Application of Deep Learning Reduced-Order Modeling for Single-Phase Flow in Faulted Porous Media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
We apply reduced-order modeling (ROM) techniques to single-phase flow in faulted porous media, accounting for changing rock properties and fault geometry variations using a radial…