Dr. Giuseppe Visconti

Academic Positions

• PostDoc, IGPM, RWTH Aachen University (2017 - present)
  Research group of Prof. Dr. Michael Herty
• PhD in Mathematics, University of Insubria, (2016)
  Supervisors: Prof. G. Puppo, Prof. M. Semplice, Prof. A. Tosin

Research Interests

• Multiscale Mathematical Modeling: Micro-Kinetic-Macro Limit Processes
• Mathematical Modeling of Vehicular Traffic
• Particle Filters for Inversion and Parameter Identification Problems
• Mathematical and Numerical Analysis of PDEs
• High-Order Schemes for Hyperbolic Equations

Preprints

• X. Gong, B. Piccoli, G. Visconti
  Mean-field limit of a hybrid system for multi-lane multi-class traffic
  Submitted. 2020.

• D. Armbruster, M. Herty, G. Visconti
  A Stabilization of a Continuous Limit of the Ensemble Kalman Filter
  Submitted. 2020.

• M. Herty, T. Trimborn, G. Visconti
  Kinetic Theory for Residual Neural Networks
  Submitted. 2020.

• M. Schwenzer, G. Visconti, M. Ay, T. Bergs, M. Herty, D. Abel
  Identifying trending coefficients with an ensemble Kalman filter
  Submitted. 2019.

• C. D. Hauck, M. Herty, G. Visconti
  Qualitative Properties of Mathematical Model for Data Flow
  Submitted. 2019.

Publications (here the link to Scopus)

• T. Trimborn, S. Gerster, G. Visconti
  Spectral methods to study the robustness of residual neural networks with infinite layers
  Found. Data Sci., 2(3):257-278, 2020.

• M. Herty, G. Puppo, G. Visconti
  From kinetic to macroscopic models and back
  In Mathematical descriptions of traffic flow: micro, macro and kinetic models, SEMA SIMAI Springer Series, 2020.

• M. Herty, A. Tosin, G. Visconti, M. Zanella
  Reconstruction of traffic speed distributions from kinetic models with uncertainties
  In Mathematical descriptions of traffic flow: micro, macro and kinetic models, SEMA SIMAI Springer Series, 2020.

• M. Herty, G. Visconti
  Continuous Limits for Constrained Ensemble Kalman Filter
  Inverse Probl., 36(7):0750062020, 2020.

• M. Semplice, G. Visconti
  Efficient implementation of adaptive order reconstructions
  J. Sci. Comput., 83(1):6, 2020.

• M. Herty, L. Pareschi, G. Visconti
  Mean field models for large data-clustering problems
  Netw. Heterog. Media, 15(3):463-487, 2020.

• M. Herty, G. Puppo, S. Roncoroni, G. Visconti
  The BGK approximation of kinetic models for traffic
  Kinet. Relat. Models, 13(2):279-307, 2020.

• I. Cravero, M. Semplice, G. Visconti
  Optimal definition of the nonlinear weights in multidimensional Central WENOZ reconstructions
  SIAM J. Numer. Anal., 57(5):2328-2358, 2019.

• M. Herty, G. Visconti
  Kinetic Methods for Inverse Problems
  Kinet. Relat. Models, 12(5):1109-1130, 2019.

• M. Herty, A. Tosin, G. Visconti, M. Zanella
  Hybrid stochastic kinetic description of two-dimensional traffic dynamics
  SIAM J. Appl. Math., 78(5):2737-2762, 2018.

• M. Herty, S. Moutari, G. Visconti
  Macroscopic modeling of multi-lane motorways using a two-dimensional second-order model of traffic flow
  SIAM J. Appl. Math., 78(4):2252–2278, 2018.

• M. Herty, G. Visconti
  Analysis of risk levels for traffic on a multi-lane highway
  IFAC-PapersOnLine, 51(9):43-48, 2018.

• M. Herty, A. Fazekas, G. Visconti
  A two-dimensional data-driven model for traffic flow on highways
  Netw. Heterog. Media, 13(2):217-240, 2018.

• I. Cravero, G. Puppo, M. Semplice, G. Visconti
  Cool WENO Schemes
  Comput. Fluids, 169:71-86, 2018.

• I. Cravero, G. Puppo, M. Semplice, G. Visconti
  CWENO: uniformly accurate reconstructions for balance laws
  Math. Comput., 87(312):1689-1719, 2018.

• G. Visconti, M. Herty, G. Puppo, A. Tosin
  Multivalued fundamental diagrams of traffic flow in the kinetic Fokker-Planck limit
  Multiscale Model. Simul., 15:1267-1293, 2017.

• G. Puppo, M. Semplice, A. Tosin, G. Visconti
  Kinetic models for traffic flow resulting in a reduced space of microscopic velocities
  Kinet. Relat. Models, 10(3):823-854, 2017.

• G. Puppo, M. Semplice, A. Tosin, G. Visconti
  Analysis of a multi-population kinetic model for traffic flow
  Commun. Math. Sci., 15(2):379-412, 2017.

• G. Puppo, M. Semplice, A. Tosin, G. Visconti
  Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models
  Commun. Math. Sci., 14(3):643-669, 2016.

• L. Il Grande, E. Venturino, G. Visconti et al.
  Models of symbiotic associations in food chains
  In Symbiosis: Evolution, Biology and Ecological Effects, Nova Science Publishers, Hauppauge, NY, 189-234, 2012.

Current Teachings

• Functional Analysis (WiSe 19-20)
• Continuous Optimization (WiSe 18-19)
• Time-Integration Numerical Methods for PDEs (SoSe 17-18)
• Continuous Optimization (WiSe 17-18)