18 citations · 96 across the 20 of their papers we have counts for
22 papers
Conservation Laws with Discontinuous Flux: A First Application to Traffic Flow
Roberta Bianchini, Maya Briani, Benedetto Piccoli
This work provides a traffic flow interpretation of the model recently introduced in \cite{ABS2025}. We adapt the conservation law with discontinuous gradient-dependent flux to a m…
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Magali Ribot, Roberto Natalini, Maya Briani
In this paper we propose a new numerical scheme of relaxation type to approximate the Euler equations of isentropic gas dynamics on the arcs of a network. At the junction mass cons…
Adapting Priority Riemann Solver for GSOM on road networks
Caterina Balzotti, Roberta Bianchini, Maya Briani +1
In this paper, we present an extension of the Generic Second Order Models (GSOM) for traffic flow on road networks. We define a Riemann solver at the junction based on a priority r…
Numerical computation of generalized Wasserstein distances with applications to traffic model analysis
Maya Briani, Emiliano Cristiani, Giovanni Franzina +1
Generalized Wasserstein distances allow to quantitatively compare two continuous or atomic mass distributions with equal or different total mass. In this paper, we propose four num…
Inverting the Fundamental Diagram and Forecasting Boundary Conditions: How Machine Learning Can Improve Macroscopic Models for Traffic Flow
Maya Briani, Emiliano Cristiani, Elia Onofri
In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well kn…
Estimate of traffic emissions through multiscale second order models with heterogeneous data
Caterina Balzotti, Maya Briani
In this paper we propose a multiscale traffic model, based on the family of Generic Second Order Models, which integrates multiple trajectory data into the velocity function. This…
Macroscopic and multi-scale models for multi-class vehicular dynamics with uneven space occupancy: a case study
Maya Briani, Emiliano Cristiani, Paolo Ranut
In this paper we propose two models describing the dynamics of heavy and light vehicles on a road network, taking into account the interactions between the two classes. The models…
Angle dependence in coupling conditions for shallow water equations at canal junctions
Maya Briani, Gabriella Puppo, Magali Ribot
In this paper we propose a numerical Riemann problem solver at the junction of one dimensional shallow-water canal networks. The junction conditions take into account the angles wi…
Emissions minimization on road networks via Generic Second Order Models
Caterina Balzotti, Maya Briani, Benedetto Piccoli
In this paper we consider the problem of estimating emissions due to vehicular traffic on complex networks, and minimizing their effect by regulating traffic at junctions. For the…
Evaluation of emissions and ozone production due to vehicular traffic via second-order models
Caterina Balzotti, Maya Briani, Barbara De Filippo +1
The societal impact of traffic is a long-standing and complex problem. We focus on the estimation of ozone production due to vehicular traffic. For this, we couple a system of cons…
Understanding Mass Transfer Directions via Data-Driven Models with Application to Mobile Phone Data
Alessandro Alla, Caterina Balzotti, Maya Briani +1
The aim of this paper is to solve an inverse problem which regards a mass moving in a bounded domain. We assume that the mass moves following an unknown velocity field and that the…
Convergence rate of Markov chains and hybrid numerical schemes to jump-diffusions with application to the Bates model
Maya Briani, Lucia Caramellino, Giulia Terenzi
We study the rate of weak convergence of Markov chains to diffusion processes under suitable but quite general assumptions. We give an example in the financial framework, applying…
Open canals flow with fluvial to torrential phase transitions on networks
Maya Briani, Benedetto Piccoli
Network flows and specifically open canal flows can be modeled by systems of balance laws defined on topological graphs. The shallow water or Saint-Venant system of balance laws is…
Understanding Human Mobility Flows from Aggregated Mobile Phone Data
Caterina Balzotti, Andrea Bragagnini, Maya Briani +1
In this paper we deal with the study of travel flows and patterns of people in large populated areas. Information about the movements of people is extracted from coarse-grained agg…
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…
Numerical stability of a hybrid method for pricing options
Maya Briani, Lucia Caramellino, Giulia Terenzi +1
We develop and study stability properties of a hybrid approximation of functionals of the Bates jump model with stochastic interest rate that uses a tree method in the direction of…
A hybrid tree/finite-difference approach for Heston-Hull-White type models
M. Briani, L. Caramellino, A. Zanette
We study a hybrid tree-finite difference method which permits to obtain efficient and accurate European and American option prices in the Heston Hull-White and Heston Hull-White2d…
A non-local rare mutations model for quasispecies and Prisoner's dilemma: numerical assessment of qualitative behaviour
A. L. Amadori, M. Briani, R. Natalini
An integro-differential model for evolutionary dynamics with mutations is investigated by improving the understanding of its behavior using numerical simulations. The proposed nume…
An easy-to-use algorithm for simulating traffic flow on networks: theoretical study
Maya Briani, Emiliano Cristiani
In this paper we study a model for traffic flow on networks based on a hyperbolic system of conservation laws with discontinuous flux. Each equation describes the density evolution…
An easy-to-use algorithm for simulating traffic flow on networks: numerical experiments
Gabriella Bretti, Maya Briani, Emiliano Cristiani
In this paper we propose a Godunov-based discretization of a hyperbolic system of conservation laws with discontinuous flux, modeling vehicular flow on a network. Each equation des…
A hybrid approach for the implementation of the Heston model
Maya Briani, Lucia Caramellino, Antonino Zanette
We propose a hybrid tree-finite difference method in order to approximate the Heston model. We prove the convergence by embedding the procedure in a bivariate Markov chain and we s…
Time Asymptotic High Order Schemes for Dissipative BGK Hyperbolic Systems
Denise Aregba-Driollet, Maya Briani, Roberto Natalini
We introduce a new class of finite differences schemes to approximate one dimensional dissipative semilinear hyperbolic systems with a BGK structure. Using precise analytical time-…