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07/03/2023
A data-driven kinetic model for opinion dynamics with social network contacts
Opinion dynamics is an important and very active area of research that d...
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07/13/2022
Micro-macro stochastic Galerkin methods for nonlinear Fokker-Plank equations with random inputs
Nonlinear Fokker-Planck equations play a major role in modeling large sy...
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06/17/2022
Locally Structure-Preserving div-curl operators for high order Discontinuous Galerkin schemes
We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) op...
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12/02/2021
Multi-fidelity methods for uncertainty propagation in kinetic equations
The construction of efficient methods for uncertainty quantification in ...
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07/23/2021
High order modal Discontinuous Galerkin Implicit-Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Deterministic solutions of the Boltzmann equation represent a real chall...
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06/14/2021
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
In this paper we introduce a space-dependent multiscale model to describ...
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03/27/2021
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
In this work, we present a family of time and space high order finite vo...
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01/11/2021
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
In this paper, we derive second order hydrodynamic traffic models from k...
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12/18/2020
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
In this work we propose a novel space-dependent multiscale model for the...
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06/25/2019