activity
20232026
most citedA brief review of Reduced Order Models using intrusive and non-intrusive techniques

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2026

Active Subspace-Guided Free-Form Deformation with Sinkhorn Autoencoders for Reduced-Order Modelling of Parametrised Shape Problems

G. Padula, C. Giovannini, G. Rozza +1

Geometrically parametrised PDEs arise in shape optimisation, where solving a PDE over many deformed domains at manageable cost is a central challenge. Free-form Deformation (FFD) p…

math.NA2026

A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems

Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza

Forecasting the evolution of complex dynamical systems remains a fundamentally challenging task, primarily due to pronounced nonlinear interactions, high-dimensional state spaces,…

math.NA2025

Generative Models for Parameter Space Reduction applied to Reduced Order Modelling

Guglielmo Padula, Gianluigi Rozza

Solving and optimising Partial Differential Equations (PDEs) in geometrically parameterised domains often requires iterative methods, leading to high computational and time complex…

math.NA2024★ 1 cited

A brief review of Reduced Order Models using intrusive and non-intrusive techniques

Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza

Reduced Order Models (ROMs) have gained a great attention by the scientific community in the last years thanks to their capabilities of significantly reducing the computational cos…

math.NA2023

Generative Models for the Deformation of Industrial Shapes with Linear Geometric Constraints: model order and parameter space reductions

Guglielmo Padula, Francesco Romor, Giovanni Stabile +1

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain…