262,216 research outputs found
From experiments to hydrodynamic traffic flow models: I - Modelling and parameter identification
No full textDomain decomposition and discretization of continuous mathematical models
No full textAbstractThis paper deals with the development of decomposition of domains methods related to the discretization, by collocation-interpolation methods, of continuous models described by nonlinear partial differential equations. The objective of this paper is to show how generalized collocation and domain decomposition methods can be applied for problems where different models are used within the same domain
From the Discrete Kinetic Theory of Vehicular Traffic Flow to Computing the Velocity Distribution at Equilibrium
No full textThis paper deals with the identification of the parameters of a model of vehicular traffic flow using experimental data obtained
on the highway Padova–Venezia. Subsequently, simulations of the model are developed corresponding to steady uniform flow
conditions. These simulations allow us to describe the velocity distribution in the above conditions corresponding to the parameters
obtained by identification on the basis of experimental data
Modeling the driver's behavior on second-order macroscopic models of vehicular traffic flow
No full textContinuous approximated solutions of a class of nonlinear integrodifferential equations
No full textAbstractThe paper deals with the continuous approximation of the solution to the Cauchy problem for a class of nonlinear integro-differential equations. The analysis is developed for a model in mathematical biology and for the semicontinuous Boltzmann equation
Sensitivity analysis of velocity and fundamental traffic flow diagrams from modelling of vehicle driver behaviors
No full textSolution of nonlinear evolution problems by parallelized collocation-interpolation methods
No full textAbstractThis paper deals with the solution of initial-boundary value problems for nonlinear evolution equations. The solution technique is based on collocation-interpolation methods which are improved in order to reduce computational errors at fixed discretizations of the independent variables. The method consists in parallelizing the approximation of the space derivatives so that the same approximation is reached by a lower number of collocation points, and hence, by a lower computation time. The analysis includes a theoretical and computational estimate both of the approximation error and of the computational time
On the Derivation of the Velocity and Fundamental Traffic Flow Diagram from the Modelling of the Vehicle-Driver Behaviors
No full textThis paper deals with derivation of the fundamental diagram by modelling the individual
driver behavior that adjusts the velocity to the density of vehicles in order to respect
the braking distance. A parameter is properly introduced to model the quality of the
drivervehicle subsystem referred to the environmental conditions. Subsequently, it
is shown how to use this result in order to model traffic flows by the macroscopic
representation and by the kinetic theory
On the velocity distribution at equilibrium in the mathematical theory of vehicular traffic flow
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