Lorenzo Pareschi

Orcid: 0000-0002-8706-6939

According to our database1, Lorenzo Pareschi authored at least 94 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws.
J. Sci. Comput., September, 2024

Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker-Planck Equations with Random Inputs.
Multiscale Model. Simul., March, 2024

Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data.
J. Comput. Phys., 2024

Instantaneous control strategies for magnetically confined fusion plasma.
CoRR, 2024

Conservative polynomial approximations and applications to Fokker-Planck equations.
CoRR, 2024

Optimization by linear kinetic equations and mean-field Langevin dynamics.
CoRR, 2024

Reduced variance random batch methods for nonlocal PDEs.
CoRR, 2024

2023
Multiscale Constitutive Framework of One-Dimensional Blood Flow Modeling: Asymptotic Limits and Numerical Methods.
Multiscale Model. Simul., September, 2023

Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties.
J. Comput. Phys., April, 2023

Constrained Consensus-Based Optimization.
SIAM J. Optim., March, 2023

Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes.
J. Comput. Phys., 2023

Multiscale constitutive framework of 1D blood flow modeling: Asymptotic limits and numerical methods.
CoRR, 2023

Modeling opinion polarization on social media: application to Covid-19 vaccination hesitancy in Italy.
CoRR, 2023

The Kinetic Theory of Mutation Rates.
Axioms, 2023

2022
Moment Preserving Fourier-Galerkin Spectral Methods and Application to the Boltzmann Equation.
SIAM J. Numer. Anal., December, 2022

Anisotropic Diffusion in Consensus-Based Optimization on the Sphere.
SIAM J. Optim., September, 2022

Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties.
Networks Heterog. Media, 2022

On the Construction of Conservative Semi-Lagrangian IMEX Advection Schemes for Multiscale Time Dependent PDEs.
J. Sci. Comput., 2022

A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs.
J. Comput. Phys., 2022

Effects of Vaccination Efficacy on Wealth Distribution in Kinetic Epidemic Models.
Entropy, 2022

Global high-order numerical schemes for the time evolution of the general relativistic radiation magneto-hydrodynamics equations.
CoRR, 2022

Micro-macro stochastic Galerkin methods for nonlinear Fokker-Plank equations with random inputs.
CoRR, 2022

Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread.
CoRR, 2022

A Consensus-Based Algorithm for Multi-Objective Optimization and Its Mean-Field Description.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021
Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods.
SIAM/ASA J. Uncertain. Quantification, 2021

Consensus-Based Optimization on the Sphere: Convergence to Global Minimizers and Machine Learning.
J. Mach. Learn. Res., 2021

High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers.
J. Comput. Phys., 2021

Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model.
J. Comput. Phys., 2021

Multi-fidelity methods for uncertainty propagation in kinetic equations.
CoRR, 2021

Spreading of fake news, competence, and learning: kinetic modeling and numerical approximation.
CoRR, 2021

Mean-field particle swarm optimization.
CoRR, 2021

Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty.
CoRR, 2021

Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy.
CoRR, 2021

Mean-field control variate methods for kinetic equations with uncertainties and applications to socio-economic sciences.
CoRR, 2021

On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation.
Appl. Math. Lett., 2021

2020
Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation.
SIAM J. Sci. Comput., 2020

Mean field models for large data-clustering problems.
Networks Heterog. Media, 2020

Special issue on mathematical models for collective dynamics.
Networks Heterog. Media, 2020

Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties.
Multiscale Model. Simul., 2020

Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: Space-homogeneous case.
J. Comput. Phys., 2020

Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations.
CoRR, 2020

From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit.
CoRR, 2020

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods.
CoRR, 2020

An introduction to uncertainty quantification for kinetic equations and related problems.
CoRR, 2020

Consensus-Based Optimization on the Sphere I: Well-Posedness and Mean-Field Limit.
CoRR, 2020

Consensus-based Optimization on the Sphere II: Convergence to Global Minimizers and Machine Learning.
CoRR, 2020

High order semi-implicit multistep methods for time dependent partial differential equations.
CoRR, 2020

2019
Hydrodynamic Models of Preference Formation in Multi-agent Societies.
J. Nonlinear Sci., 2019

Multi-scale control variate methods for uncertainty quantification in kinetic equations.
J. Comput. Phys., 2019

Structure preserving schemes for the continuum Kuramoto model: Phase transitions.
J. Comput. Phys., 2019

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems.
Appl. Math. Comput., 2019

2018
Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs.
SIAM J. Sci. Comput., 2018

Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit.
SIAM J. Sci. Comput., 2018

A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs.
Multiscale Model. Simul., 2018

Structure Preserving Schemes for Nonlinear Fokker-Planck Equations and Applications.
J. Sci. Comput., 2018

2017
Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations.
SIAM J. Numer. Anal., 2017

A Unified IMEX Runge-Kutta Approach for Hyperbolic Systems with Multiscale Relaxation.
SIAM J. Numer. Anal., 2017

On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws.
J. Comput. Appl. Math., 2017

2016
Opinion dynamics over complex networks: kinetic modeling and numerical methods.
CoRR, 2016

2015
Mean-field control and Riccati equations.
Networks Heterog. Media, 2015

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy.
J. Sci. Comput., 2015

On the Optimal Control of Opinion Dynamics on Evolving Networks.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

2014
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy.
J. Comput. Phys., 2014

Numerical methods for kinetic equations.
Acta Numer., 2014

2013
Implicit-Explicit Runge-Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit.
SIAM J. Sci. Comput., 2013

Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems.
SIAM J. Numer. Anal., 2013

Asymptotic Preserving Implicit-Explicit Runge-Kutta Methods for Nonlinear Kinetic Equations.
SIAM J. Numer. Anal., 2013

Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics.
Multiscale Model. Simul., 2013

Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics.
Appl. Math. Lett., 2013

2011
Exponential Runge-Kutta Methods for Stiff Kinetic Equations.
SIAM J. Numer. Anal., 2011

Numerical Methods for the Optimal Control of Scalar Conservation Laws.
Proceedings of the System Modeling and Optimization, 2011

2010
Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations.
SIAM J. Sci. Comput., 2010

2009
Adaptive and Recursive Time Relaxed Monte Carlo Methods for Rarefied Gas Dynamics.
SIAM J. Sci. Comput., 2009

2008
Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations.
Math. Comput., 2008

Hybrid Multiscale Methods II. Kinetic Equations.
Multiscale Model. Simul., 2008

2007
Enskog-like discrete velocity models for vehicular traffic flow.
Networks Heterog. Media, 2007

2006
Discrete-Velocity Models and Relaxation Schemes for Traffic Flows.
SIAM J. Sci. Comput., 2006

Solving the Boltzmann Equation in N log<sub>2</sub>N.
SIAM J. Sci. Comput., 2006

Fast algorithms for computing the Boltzmann collision operator.
Math. Comput., 2006

Dissipative hydrodynamic models for the diffusion of impurities in a gas.
Appl. Math. Lett., 2006

2005
Central Runge-Kutta Schemes for Conservation Laws.
SIAM J. Sci. Comput., 2005

Fast conservative and entropic numerical methods for the Boson Boltzmann equation.
Numerische Mathematik, 2005

Implicit-Explicit Runge-Kutta Schemes and Applications to Hyperbolic Systems with Relaxation.
J. Sci. Comput., 2005

2004
Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers.
J. Comput. Methods Sci. Eng., 2004

Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks.
Appl. Math. Comput., 2004

A New Monte Carlo Approach for Conservation Laws and Relaxation Systems.
Proceedings of the Computational Science, 2004

2003
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit.
Numerische Mathematik, 2003

Uniformly accurate schemes for relaxation approximations to fluid dynamic equations.
Appl. Math. Lett., 2003

2001
Time Relaxed Monte Carlo Methods for the Boltzmann Equation.
SIAM J. Sci. Comput., 2001

Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms.
SIAM J. Numer. Anal., 2001

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case.
Monte Carlo Methods Appl., 2001

2000
Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator.
SIAM J. Numer. Anal., 2000

Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation.
SIAM J. Numer. Anal., 2000

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations.
SIAM J. Numer. Anal., 2000


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