• Publications
  • Influence
A Fully-Discrete-State Kinetic Theory Approach to Modeling Vehicular Traffic
  • L. Fermo, A. Tosin
  • Computer Science, Mathematics
  • SIAM J. Appl. Math.
  • 30 October 2012
This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and speed) of theExpand
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  • 2
Fundamental diagrams for kinetic equations of traffic flow
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theoretical fundamentalExpand
  • 15
  • 2
Heterogeneous distribution of mechanical stress in human lung: a mathematical approach to evaluate abnormal remodeling in IPF.
Idiopathic pulmonary fibrosis (IPF) is the most common and severe form of idiopathic interstitial pneumonia. A recently proposed pathogenic model suggests that the concurrent action of cellExpand
  • 32
  • 1
TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH
Kinetic theory methods are applied in this paper to model the dynamics of vehicular traffic. The basic idea is to consider each vehicular-driver system as a single part, or micro-system, of a largeExpand
  • 60
  • 1
Numerical methods for Fredholm integral equations with singular right-hand sides
Fredholm integral equations with the right-hand side having singularities at the endpoints are considered. The singularities are moved into the kernel that is subsequently regularized by a suitableExpand
  • 6
  • 1
A fully-discrete-state kinetic theory approach to traffic flow on road networks
This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively studied by means ofExpand
  • 33
On a class of integro-differential equations modeling complex systems with nonlinear interactions
Abstract This work deals with the qualitative analysis of the initial value problem for a class of large systems of interacting entities in the framework of the mathematical kinetic theory for activeExpand
  • 29
Bifurcation diagrams for the moments of a kinetic type model of keloid-immune system competition
The mathematical modelling of the keloid disease triggered by a virus has been recently investigated by one of the authors, Bianca (2011) [5], where it was shown that the model is able to depict theExpand
  • 22
Numerical Methods for Cauchy Bisingular Integral Equations of the First Kind on the Square
In this paper we investigate the numerical solution of Cauchy bisingular integral equations of the first kind on the square. We propose two different methods based on a global polynomialExpand
  • 1
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
This paper presents a review and critical analysis on the modeling of the dynamics of vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It contains a survey of ...
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