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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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06/13/2023
Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data
The design of particle simulation methods for collisional plasma physics...
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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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10/31/2022
Global high-order numerical schemes for the time evolution of the general relativistic radiation magneto-hydrodynamics equations
Modeling correctly the transport of neutrinos is crucial in some astroph...
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08/01/2022
Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties
The study of uncertainty propagation is of fundamental importance in pla...
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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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06/25/2022
Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread
When investigating epidemic dynamics through differential models, the pa...
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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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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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09/28/2021
Spreading of fake news, competence, and learning: kinetic modeling and numerical approximation
The rise of social networks as the primary means of communication in alm...
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08/01/2021
Mean-field particle swarm optimization
In this work we survey some recent results on the global minimization of...
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07/20/2021
A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs
In this paper, we consider the development of efficient numerical method...
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07/14/2021
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs
This article is devoted to the construction of a new class of semi-Lagra...
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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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05/27/2021
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation
Spectral methods, thanks to the high accuracy and the possibility of usi...
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02/04/2021
Mean-field control variate methods for kinetic equations with uncertainties and applications to socio-economic sciences
In this paper, we extend a recently introduced multi-fidelity control va...
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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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12/10/2020
From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit
In this paper we consider a continuous description based on stochastic d...
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11/11/2020
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation
Spectral methods, thanks to the high accuracy and the possibility to use...
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08/04/2020
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
This article aims at developing a high order pressure-based solver for t...
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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
Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model
This work aims at identifying and quantifying uncertainties related to e...
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04/16/2020
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods
We propose a control variate multilevel Monte Carlo method for the kinet...
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04/10/2020
An introduction to uncertainty quantification for kinetic equations and related problems
We overview some recent results in the field of uncertainty quantificati...
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03/14/2020
Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
In this paper we propose a novel numerical approach for the Boltzmann eq...
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01/31/2020
Consensus-Based Optimization on the Sphere I: Well-Posedness and Mean-Field Limit
We introduce a new stochastic Kuramoto-Vicsek-type model for global opti...
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01/31/2020
Consensus-based Optimization on the Sphere II: Convergence to Global Minimizers and Machine Learning
We present the implementation of a new stochastic Kuramoto-Vicsek-type m...
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01/12/2020
High order semi-implicit multistep methods for time dependent partial differential equations
We consider the construction of semi-implicit linear multistep methods w...
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07/08/2019