57 citations · 75 across the 12 of their papers we have counts for
9 papers · 1 filter
Overview on uncertainty quantification in traffic models via intrusive method
Elisa Iacomini
We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate…
Recent Trends on Nonlinear Filtering for Inverse Problems
Michael Herty, Elisa Iacomini, Giuseppe Visconti
Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the origin…
Filtering methods for coupled inverse problems
Michael Herty, Elisa Iacomini
We are interested in ensemble methods to solve multi-objective optimization problems. An ensemble Kalman method is proposed to solve a formulation of the nonlinear problem using a…
Uncertainty Quantification in Hierarchical Vehicular Flow Models
Michael Herty, Elisa Iacomini
We consider kinetic vehicular traffic flow models of BGK type. Considering different spatial and temporal scales, those models allow to derive a hierarchy of traffic models includi…
Delay differential equations for the spatially-resolved simulation of epidemics with specific application to COVID-19
Nicola Guglielmi, Elisa Iacomini, Alex Viguerie
In the wake of the 2020 COVID-19 epidemic, much work has been performed on the development of mathematical models for the simulation of the epidemic, and of disease models generall…
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
Stephan Gerster, Michael Herty, Elisa Iacomini
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperb…
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results…
An interface-free multi-scale multi-order model for traffic flow
Emiliano Cristiani, Elisa Iacomini
In this paper we present a new kind of model for traffic flow which couples a first-order macroscopic approach with a second-order microscopic approach, avoiding any interface or b…
Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance
Maya Briani, Emiliano Cristiani, Elisa Iacomini
In this paper we investigate the sensitivity of the LWR model on network to its parameters and to the network itself. The quantification of sensitivity is obtained by measuring the…