Publications

Hybrid Autoencoder/Galerkin Approach for Nonlinear Reduced Order Modelling
This paper presents a novel nonlinear Reduced Order Model (ROM) that combines Proper Orthogonal Decomposition (POD) with deep learning …
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Stability of a continuous/discrete sensitivity model for the Navier–Stokes equations
This work presents a comprehensive framework for the sensitivity analysis of the Navier–Stokes equations, with an emphasis on the …
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Sensitivity analysis for a thermohydrodynamic model: uncertainty analysis and parameter estimation
This paper proposes an efficient computational strategy to deal with uncertainty propagation problems for the Navier–Stokes equations …
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Uncertainty propagation of the shock position for hyperbolic PDEs using a sensitivity equation method
In this work, we design a method to provide confidence intervals for the position of a discontinuity arising in hyperbolic conservation …
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A two-step numerical scheme in time for surface quasi geostrophic equations under location uncertainty
In this work we consider the surface quasi-geostrophic(SQG) system under location uncertainty (LU) and propose a Milstein-type scheme …
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Sensitivity equation method for the Navier–Stokes equations applied to uncertainty propagation
This works deals with sensitivity analysis for the Navier–Stokes equations. The aim is to provide an estimate of the variance of the …
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A modified sensitivity equation method for Euler equations in presence of shocks
Sensitivity analysis (SA) is the study of how the output of a mathematical model is affected by changes in the inputs. SA is widely …
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Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates
Sensitivity analysis (SA) is the study of how the output of a mathematical model is affected by changes in the inputs. SA is widely …
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Sensitivity analysis for nonlinear hyperbolic systems of conservation laws
Sensitivity analysis (SA) concerns the quantification of changes in Partial Differential Equations (PDEs) solution due to perturbations …
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Sensitivity analysis for the Euler equations in Lagrangian coordinates
Sensitivity analysis (SA) is the study of how changes in the inputs of a model affect the outputs. SA has many applications, among …
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Optimization of running strategies according to the physiological parameters for a two-runner model
In order to describe the velocity and the anaerobic energy of two runners competing against each other for middle-distance races, we …
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Optimization of an Unsteady System Governed by PDEs using a Multi-Objective Descent Method
The aim of this work is to develop an approach to solve optimization problems in which the functional that has to be minimized is time …
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