Lorenzo Pareschi

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Liu Liu
87 publications
Hui Huang
61 publications
Michael Herty
24 publications
Jingwei Hu
22 publications
Walter Boscheri
20 publications
Giulia Bertaglia
12 publications
Massimo Fornasier
12 publications
Xueyu Zhu
10 publications
Giacomo Dimarco
10 publications
Yubo Wang
10 publications
Giacomo Albi
9 publications

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Andrea Medaglia, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Manuel R. Izquierdo, et al. ∙

research

∙ 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...

0 Andrea Medaglia, et al. ∙

research

∙ 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...

0 Giacomo Dimarco, et al. ∙

research

∙ 06/25/2022

Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread

When investigating epidemic dynamics through differential models, the pa...

5 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Walter Boscheri, et al. ∙

research

∙ 12/02/2021

Multi-fidelity methods for uncertainty propagation in kinetic equations

The construction of efficient methods for uncertainty quantification in ...

0 Giacomo Dimarco, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Jonathan Franceschi, et al. ∙

research

∙ 08/01/2021

Mean-field particle swarm optimization

In this work we survey some recent results on the global minimization of...

0 Sara Grassi, et al. ∙

research

∙ 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...

0 Liu Liu, et al. ∙

research

∙ 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...

0 Walter Boscheri, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Lorenzo Pareschi, et al. ∙

research

∙ 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...

0 Lorenzo Pareschi, et al. ∙

research

∙ 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...

0 Walter Boscheri, et al. ∙

research

∙ 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...

0 Sara Grassi, et al. ∙

research

∙ 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...

0 Lorenzo Pareschi, et al. ∙

research

∙ 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...

0 Walter Boscheri, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Giulia Bertaglia, et al. ∙

research

∙ 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...

0 Jingwei Hu, et al. ∙

research

∙ 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...

0 Lorenzo Pareschi, et al. ∙

research

∙ 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...

0 Lorenzo Pareschi, et al. ∙

research

∙ 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...

0 Massimo Fornasier, et al. ∙

research

∙ 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...

10 Massimo Fornasier, et al. ∙

research

∙ 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...

0 Giacomo Albi, et al. ∙

research

∙ 07/08/2019

Mean field models for large data-clustering problems

We consider mean-field models for data--clustering problems starting fro...

0 Lorenzo Pareschi, et al. ∙

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