Search Results - "Dimarco, Giacomo"
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The Aw–Rascle Traffic Model: Enskog-Type Kinetic Derivation and Generalisations
Published in Journal of statistical physics (2020)“…We study the derivation of second order macroscopic traffic models from kinetic descriptions. In particular, we recover the celebrated Aw–Rascle model as the…”
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Kinetic Derivation of Aw–Rascle–Zhang-Type Traffic Models with Driver-Assist Vehicles
Published in Journal of statistical physics (2022)“…In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take…”
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A data-driven kinetic model for opinion dynamics with social network contacts
Published in European journal of applied mathematics (20-02-2024)“…Abstract Opinion dynamics is an important and very active area of research that delves into the complex processes through which individuals form and modify…”
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Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
Published in Mathematical biosciences and engineering : MBE (01-01-2021)“…In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular…”
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A data-driven kinetic model for opinion dynamics with social network contacts – ADDENDUM
Published in European journal of applied mathematics (02-04-2024)Get full text
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The moment-guided Monte Carlo method
Published in International journal for numerical methods in fluids (20-09-2011)“…In this work we propose a new approach for the numerical simulation of kinetic equations through Monte Carlo schemes. We introduce a new technique that permits…”
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Towards an ultra efficient kinetic scheme. Part I: Basics on the BGK equation
Published in Journal of computational physics (15-12-2013)“…In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of…”
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Multi-scale control variate methods for uncertainty quantification in kinetic equations
Published in Journal of computational physics (01-07-2019)“…•Uncertainty quantification for the Boltzmann equation.•Variance reduction of standard Monte Carlo sampling methods.•Control variate methods based on reduced…”
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High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
Published in Computer methods in applied mechanics and engineering (15-12-2021)“…In this work, we present a family of time and space high order finite volume schemes for the solution of the full Boltzmann equation. The velocity space is…”
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High order central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes
Published in Journal of computational physics (01-12-2020)“…•High order space and time numerical methods on arbitrary unstructured polygonal meshes in a multidimensional setting.•A CWENO reconstruction reduces stencil…”
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Kinetic Modeling of Alcohol Consumption
Published in Journal of statistical physics (01-12-2019)“…In most countries, alcohol consumption distributions have been shown to possess universal features. Their unimodal right-skewed shape is usually modeled in…”
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High order modal Discontinuous Galerkin Implicit–Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Published in Computers & fluids (30-01-2022)“…Deterministic solutions of the Boltzmann equation represent a real challenge due to the enormous computational effort which is required to produce such…”
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ASYMPTOTIC PRESERVING IMPLICIT-EXPLICIT RUNGE-KUTTA METHODS FOR NONLINEAR KINETIC EQUATIONS
Published in SIAM journal on numerical analysis (01-01-2013)“…We discuss implicit-explicit (IMEX) Runge Kutta methods which are particularly adapted to stiff kinetic equations of Boltzmann type. We consider both the case…”
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IMPLICIT-EXPLICIT LINEAR MULTISTEP METHODS FOR STIFF KINETIC EQUATIONS
Published in SIAM journal on numerical analysis (01-01-2017)“…We consider the development of high order asymptotic preserving implicit-explicit (IMEX) linear multistep methods for kinetic equations and related problems…”
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EXPONENTIAL RUNGE-KUTTA METHODS FOR STIFF KINETIC EQUATIONS
Published in SIAM journal on numerical analysis (01-01-2011)“…We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator…”
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An efficient second order all Mach finite volume solver for the compressible Navier–Stokes equations
Published in Computer methods in applied mechanics and engineering (01-02-2021)“…In the numerical simulation of fluid dynamic problems there are situations in which acoustic waves are very fast compared to the average velocity of the fluid…”
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17
Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes
Published in Journal of computational physics (01-08-2023)“…We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) operator that recovers at the discrete level the algebraic property related to the…”
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An efficient numerical method for solving the Boltzmann equation in multidimensions
Published in Journal of computational physics (15-01-2018)“…In this paper we deal with the extension of the Fast Kinetic Scheme (FKS) (Dimarco and Loubère, 2013 [26]) originally constructed for solving the BGK equation,…”
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Exponential Runge–Kutta Methods for Stiff Kinetic Equations
Published in SIAM journal on numerical analysis (01-01-2011)Get full text
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Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo
Published in Journal of computational physics (20-03-2012)“…In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann…”
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