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09/06/2023
Nonconforming Virtual Element basis functions for space-time Discontinuous Galerkin schemes on unstructured Voronoi meshes
We introduce a new class of Discontinuous Galerkin (DG) methods for solv...
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08/05/2023
Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws
Particle methods based on evolving the spatial derivatives of the soluti...
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04/15/2023
A new family of semi-implicit Finite Volume / Virtual Element methods for incompressible flows on unstructured meshes
We introduce a new family of high order accurate semi-implicit schemes f...
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02/18/2023
Multiscale constitutive framework of 1D blood flow modeling: Asymptotic limits and numerical methods
In this paper, a multiscale constitutive framework for one-dimensional b...
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10/17/2022
Asymptotic-Preserving Neural Networks for hyperbolic systems with diffusive scaling
With the rapid advance of Machine Learning techniques and the deep incre...
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06/25/2022
Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread
When investigating epidemic dynamics through differential models, the pa...
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10/27/2021
Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties
Uncertainty in data is certainly one of the main problems in epidemiolog...
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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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05/29/2021
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy
The importance of spatial networks in the spread of an epidemic is an es...
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01/29/2021
Modeling blood flow in networks of viscoelastic vessels with the 1D augmented fluid-structure interaction system
A noteworthy aspect in blood flow modeling is the definition of the mech...
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07/08/2020
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
We consider the development of hyperbolic transport models for the propa...
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07/03/2020