492 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Sapienza University of RomeIT122 papers
- University of Rome Tor VergataIT96 papers
- National Research CouncilLK91 papers
- Harvard UniversityUS59 papers
- Italian Institute of TechnologyIT57 papers
- International Center for Relativistic AstrophysicsIT42 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT36 papers
- Institut des Hautes Études ScientifiquesFR33 papers
- Eindhoven University of TechnologyNL32 papers
- ETH ZurichCH31 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- Villanova UniversityUS30 papers
25 papers · 1 filter
Mathematical modelling of the water absorption properties for historical lime-based mortars from Catania (Sicily, Italy)
Gabriella Bretti, Cristina M. Belfiore
In this paper we propose a mathematical model of the capillary and permeability properties of lime-based mortars from the historic built heritage of Catania (Sicily, Italy) produce…
Nonlocal diffusion of variable order on complex networks
Daniele Bertaccini, Fabio Durastante
Some aspects of nonlocal dynamics on directed and undirected networks for an initial value problem whose Jacobian matrix is a variable-order fractional power of a Laplacian matrix…
A non-standard numerical scheme for an age-of-infection epidemic model
Eleonora Messina, Mario Pezzella, Antonia Vecchio
We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The method is based on a non-standard finite differences…
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…
Compatibility, embedding and regularization of non-local random walks on graphs
Davide Bianchi, Marco Donatelli, Fabio Durastante +1
Several variants of the graph Laplacian have been introduced to model non-local diffusion processes, which allow a random walker to {\textquotedblleft jump\textquotedblright} to no…
Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints
Fabio Durastante, Isabella Furci
The main focus of this paper is the characterization and exploitation of the asymptotic spectrum of the saddle--point matrix sequences arising from the discretization of optimizati…
Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
Lidia Aceto, Daniele Bertaccini, Fabio Durastante +1
In this paper, we propose a new choice of poles to define reliable rational Krylov methods. These methods are used for approximating function of positive definite matrices. In part…
Optimal Lebesgue constants for least squares polynomial approximation on the (hyper)sphere
Woula Themistoclakis, Marc Van Barel
We investigate the uniform approximation provided by least squares polynomials on the unit Euclidean sphere in , with . Like any other poly…
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…
An interface-free multi-scale multi-order model for traffic flow
Emiliano Cristiani, Elisa Iacomini
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 b…
Efficient approximation of functions of some large matrices by partial fraction expansions
Daniele Bertaccini, Marina Popolizio, Fabio Durastante
Some important applicative problems require the evaluation of functions of large and sparse and/or \emph{localized} matrices . Popular and interesting techniques for computi…
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…
On modeling Maze solving ability of slime mold via a hyperbolic model of chemotaxis
Gabriella Bretti, Roberto Natalini
Many studies have shown that Physarum polycephalum slime mold is able to find the shortest path in a maze. In this paper we study this behavior in a network, using a hyperbolic mod…
Analysis of a heterogeneous kinetic model for traffic flow
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consi…
Kinetic models for traffic flow resulting in a reduced space of microscopic velocities
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
The purpose of this paper is to study the properties of kinetic models for traffic flow described by a Boltzmann-type approach and based on a continuous space of microscopic veloci…
Blended numerical schemes for the advection equation and conservation laws
Simone Cacace, Emiliano Cristiani, Roberto Ferretti
In this paper we propose a method to couple two or more explicit numerical schemes approximating the same time-dependent PDE, aiming at creating new schemes which inherit advantage…
Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundame…
A level set based method for fixing overhangs in 3D printing
Simone Cacace, Emiliano Cristiani, Leonardo Rocchi
3D printers based on the Fused Decomposition Modeling create objects layer-by-layer dropping fused material. As a consequence, strong overhangs cannot be printed because the new-co…
Two semi-Lagrangian fast methods for Hamilton-Jacobi-Bellman equations
Simone Cacace, Emiliano Cristiani, Maurizio Falcone
In this paper we apply the Fast Iterative Method (FIM) for solving general Hamilton-Jacobi-Bellman (HJB) equations and we compare the results with an accelerated version of the Fas…
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…
Macroscopic modeling and simulations of room evacuation
Monika Twarogowska, Paola Goatin, Regis Duvigneau
We analyze numerically two macroscopic models of crowd dynamics: the classical Hughes model and the second order model being an extension to pedestrian motion of the Payne-Whitham…
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-…
A hyperbolic model of chemotaxis on a network: a numerical study
Gabriella Bretti, Roberto Natalini, Magali Ribot
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is…
Chirplet approximation of band-limited, real signals made easy
J. M Greenberg, Laurent Gosse
In this paper we present algorithms for approximating real band-limited signals by multiple Gaussian Chirps. These algorithms do not rely on matching pursuit ideas. They are hierar…