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Elisa Iacomini

Ph.D student in Mathematical Models for Engineering

SBAI Department, "La Sapienza" University, Rome.

Basic Information:

Research interests:

Mathematical modelling, Traffic flow models, Wasserstein distance, Transportation problem, Uncertainty quantification, Sensitivity analysis.

"We never stop exploring, and at the end of all our explorations we come back to where we started, and we will know that place for the first time."
T.S Eliot


Publications


An interface-free multi-scale multi-order model for traffic flow


Last Version: 22 Feb 2019


                                                               Abstract:      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 boundary conditions between them.  The Euler-Godunov
                                                                                     scheme associated to the model is conservative and it is able to reproduce
                                                                                     typical traffic phenomena like stop and go waves.

                                                              Authors:       Emiliano Cristiani and Elisa Iacomini.


A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time derivative


Last Version: 01 April 2019


                                                                Abstract:      We prove a representation formula of Hopf-Lax type for the solution of a Hamilton-Jacobi
                                                                                      equation involving Caputo time-fractional derivative. Equations of these type are associated
                                                                                      with optimal control problems where the controlled dynamics is replaced by a time-changed
                                                                                      stochastic process describing the trajectory of a particle subject to random trapping effects.
                                                                Authors:       Fabio Camilli, Raul De Maio and Elisa Iacomini.

Sensitivity analysis of the LWR model for traffic forecast on large networks using Wasserstein distance


Comm. in Math. Sci., 16 (2018), 123–144.


                                                               Abstract:    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 Wasserstein distance
                                                                                   between two LWR solutions corresponding to different inputs. To this end, we propose a numerical method
                                                                                   to approximate the Wasserstein distance between two density distributions defined on a network. We found
                                                                                   a large sensitivity to the traffic distribution at junctions, the network size, and the network topology.
                                                               Authors:     Maya Briani, Emiliano Cristiani and Elisa Iacomini.

Teaching


              




2018-2019              Tutor of Analisi I (SSD MAT/05)
                                                            Ingegneria Chimica, Sapienza Università di Roma.
                      Teacher: Prof. T. Leonori.

       2018-2019               Preliminar course of Mathematics
                                                  Ingegneria ICI, Sapienza Università di Roma.


2017-2018              Tutor of Analisi I (SSD MAT/05)
                                                             Ingegneria Chimica, Sapienza Università di Roma.
                      Teacher: Prof. T. Leonori.


2017-2018             Tutor of Analisi I (SSD MAT/05)
                                                               Ingegneria Informatica, Sapienza Università di Roma.
                  Teacher: Prof. F. Camilli.


Activities



Communications

    Dec 11, 2018         Seminario di Modellistica Differenziale Numerica
                                  Mathematics Department ’Guido Castelnuovo’, Sapienza University of Rome.

    Nov 20, 2018         KWIM: Women in Matematics
                                  University of Konstanz.
   
    Oct 18, 2018         Scientific Computing Research Seminar
                                  University of Mannheim.

    Jul 6, 2018             Contributed talk
                                   SIMAI 2018,San Pietro in Vincoli, Rome.

    Apr 17, 2018           Poster session
                                    Numerical Aspects of Hyperbolic Balance Laws and Related Problems,
                                    Auditorium Santa Lucia, University of Ferrara.

    Nov 14, 2017         Seminario di Modellistica Differenziale Numerica
                                   Mathematics Department ’Guido Castelnuovo’, Sapienza University of Rome.




Experiences, Projects and Awards


    Oct - Nov, 2018             Visiting PhD student at Mannheim University
                                           Funded by the Federal Ministry of Education and Research (IPID4all Project)
                                           Supervisor: Prof. Simone Göttlich.

     2018-2019                    Grant for Young Researcher by La Sapienza
                                           Project PREVENT: accurate PREdictions for VEhicular Traffic on Networks in urban society.

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