Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations. - Shi Jin; Lorenzo Pareschi; Giuseppe Toscani (SIAM J. Numer. Anal., 2000)

Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation. - Giovanni Naldi; Lorenzo Pareschi (SIAM J. Numer. Anal., 2000)

Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator. - Lorenzo Pareschi; Giovanni Russo 001 (SIAM J. Numer. Anal., 2000)

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case. - Lorenzo Pareschi; Bernt Wennberg (Monte Carlo Methods Appl., 2001)

Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms. - Lorenzo Pareschi (SIAM J. Numer. Anal., 2001)

Time Relaxed Monte Carlo Methods for the Boltzmann Equation. - Lorenzo Pareschi; Giovanni Russo 001 (SIAM J. Sci. Comput., 2001)

Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. - Axel Klar; Lorenzo Pareschi; Mohammed Seaïd (Appl. Math. Lett., 2003)

Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. - Lorenzo Pareschi; Giuseppe Toscani; Cédric Villani (Numerische Mathematik, 2003)

A New Monte Carlo Approach for Conservation Laws and Relaxation Systems. - Lorenzo Pareschi; Mohammed Seaïd (International Conference on Computational Science, 2004)

Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks. - Oscar Ascenzi; Lorenzo Pareschi; Fausto Segala (Appl. Math. Comput., 2004)

Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers. - José Miguel Mantas Ruiz; Lorenzo Pareschi; José A. Carrillo 001; Julio Ortega Lopera (J. Comput. Methods Sci. Eng., 2004)

Implicit-Explicit Runge-Kutta Schemes and Applications to Hyperbolic Systems with Relaxation. - Lorenzo Pareschi; Giovanni Russo 001 (J. Sci. Comput., 2005)

Fast conservative and entropic numerical methods for the Boson Boltzmann equation. - Peter A. Markowich; Lorenzo Pareschi (Numerische Mathematik, 2005)

Central Runge-Kutta Schemes for Conservation Laws. - Lorenzo Pareschi; Gabriella Puppo; Giovanni Russo 001 (SIAM J. Sci. Comput., 2005)

Dissipative hydrodynamic models for the diffusion of impurities in a gas. - Stéphane Brull; Lorenzo Pareschi (Appl. Math. Lett., 2006)

Fast algorithms for computing the Boltzmann collision operator. - Clément Mouhot; Lorenzo Pareschi (Math. Comput., 2006)

Solving the Boltzmann Equation in N log2N. - Francis Filbet; Clément Mouhot; Lorenzo Pareschi (SIAM J. Sci. Comput., 2006)

Discrete-Velocity Models and Relaxation Schemes for Traffic Flows. - Michael Herty; Lorenzo Pareschi; Mohammed Seaïd (SIAM J. Sci. Comput., 2006)

Enskog-like discrete velocity models for vehicular traffic flow. - Michael Herty; Lorenzo Pareschi; Mohammed Seaïd (Networks Heterog. Media, 2007)

Hybrid Multiscale Methods II. Kinetic Equations. - Giacomo Dimarco; Lorenzo Pareschi (Multiscale Model. Simul., 2008)

Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations. - Mapundi K. Banda; Axel Klar; Lorenzo Pareschi; Mohammed Seaïd (Math. Comput., 2008)

Adaptive and Recursive Time Relaxed Monte Carlo Methods for Rarefied Gas Dynamics. - Stefano Trazzi; Lorenzo Pareschi; Bernt Wennberg (SIAM J. Sci. Comput., 2009)

Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations. - Giacomo Dimarco; Lorenzo Pareschi (SIAM J. Sci. Comput., 2010)

Numerical Methods for the Optimal Control of Scalar Conservation Laws. - Sonja Steffensen; Michael Herty; Lorenzo Pareschi (System Modelling and Optimization, 2011)

Exponential Runge-Kutta Methods for Stiff Kinetic Equations. - Giacomo Dimarco; Lorenzo Pareschi (SIAM J. Numer. Anal., 2011)

Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics. - Giacomo Albi; Lorenzo Pareschi (Appl. Math. Lett., 2013)

Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics. - Giacomo Albi; Lorenzo Pareschi (Multiscale Model. Simul., 2013)

Asymptotic Preserving Implicit-Explicit Runge-Kutta Methods for Nonlinear Kinetic Equations. - Giacomo Dimarco; Lorenzo Pareschi (SIAM J. Numer. Anal., 2013)

Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems. - Michael Herty; Lorenzo Pareschi; Sonja Steffensen (SIAM J. Numer. Anal., 2013)

Implicit-Explicit Runge-Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit. - Sebastiano Boscarino; Lorenzo Pareschi; Giovanni Russo 001 (SIAM J. Sci. Comput., 2013)

Numerical methods for kinetic equations. - Giacomo Dimarco; Lorenzo Pareschi (Acta Numer., 2014)

Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. - Qin Li 007; Lorenzo Pareschi (J. Comput. Phys., 2014)

On the Optimal Control of Opinion Dynamics on Evolving Networks. - Giacomo Albi; Lorenzo Pareschi; Mattia Zanella (System Modelling and Optimization, 2015)

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy. - Jingwei Hu; Qin Li 007; Lorenzo Pareschi (J. Sci. Comput., 2015)

Mean-field control and Riccati equations. - Michael Herty; Lorenzo Pareschi; Sonja Steffensen (Networks Heterog. Media, 2015)

Opinion dynamics over complex networks: kinetic modeling and numerical methods. - Giacomo Albi; Lorenzo Pareschi; Mattia Zanella (CoRR, 2016)

On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. - Sebastiano Boscarino; Lorenzo Pareschi (J. Comput. Appl. Math., 2017)

A Unified IMEX Runge-Kutta Approach for Hyperbolic Systems with Multiscale Relaxation. - Sebastiano Boscarino; Lorenzo Pareschi; Giovanni Russo 001 (SIAM J. Numer. Anal., 2017)

Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations. - Giacomo Dimarco; Lorenzo Pareschi (SIAM J. Numer. Anal., 2017)

Structure Preserving Schemes for Nonlinear Fokker-Planck Equations and Applications. - Lorenzo Pareschi; Mattia Zanella (J. Sci. Comput., 2018)

A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs. - Shi Jin; Hanqing Lu; Lorenzo Pareschi (Multiscale Model. Simul., 2018)

Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit. - Giacomo Dimarco; Lorenzo Pareschi; Giovanni Samaey (SIAM J. Sci. Comput., 2018)

Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs. - Shi Jin; Hanqing Lu; Lorenzo Pareschi (SIAM J. Sci. Comput., 2018)

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems. - Giacomo Albi; Michael Herty; Lorenzo Pareschi (Appl. Math. Comput., 2019)

Structure preserving schemes for the continuum Kuramoto model: Phase transitions. - José A. Carrillo 001; Young-Pil Choi; Lorenzo Pareschi (J. Comput. Phys., 2019)

Multi-scale control variate methods for uncertainty quantification in kinetic equations. - Giacomo Dimarco; Lorenzo Pareschi (J. Comput. Phys., 2019)

Hydrodynamic Models of Preference Formation in Multi-agent Societies. - Lorenzo Pareschi; Giuseppe Toscani; Andrea Tosin; Mattia Zanella (J. Nonlinear Sci., 2019)

High order semi-implicit multistep methods for time dependent partial differential equations. - Giacomo Albi; Lorenzo Pareschi (CoRR, 2020)

Consensus-based Optimization on the Sphere II: Convergence to Global Minimizers and Machine Learning. - Massimo Fornasier; Hui Huang; Lorenzo Pareschi; Philippe Sünnen (CoRR, 2020)

Consensus-Based Optimization on the Sphere I: Well-Posedness and Mean-Field Limit. - Massimo Fornasier; Hui Huang; Lorenzo Pareschi; Philippe Sünnen (CoRR, 2020)

An introduction to uncertainty quantification for kinetic equations and related problems. - Lorenzo Pareschi (CoRR, 2020)

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. - Giulia Bertaglia; Lorenzo Pareschi (CoRR, 2020)

From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. - Sara Grassi; Lorenzo Pareschi (CoRR, 2020)

Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. - Walter Boscheri; Giacomo Dimarco; Lorenzo Pareschi (CoRR, 2020)

Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: Space-homogeneous case. - Lorenzo Pareschi; Mattia Zanella (J. Comput. Phys., 2020)

Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties. - Giacomo Dimarco; Lorenzo Pareschi (Multiscale Model. Simul., 2020)

Special issue on mathematical models for collective dynamics. - José Antonio Carrillo 001; Seung-Yeal Ha; Lorenzo Pareschi; Benedetto Piccoli (Networks Heterog. Media, 2020)

Mean field models for large data-clustering problems. - Michael Herty; Lorenzo Pareschi; Giuseppe Visconti (Networks Heterog. Media, 2020)

Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation. - Giacomo Albi; Giacomo Dimarco; Lorenzo Pareschi (SIAM J. Sci. Comput., 2020)

On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation. - Lorenzo Pareschi; Thomas Rey (Appl. Math. Lett., 2021)

Mean-field control variate methods for kinetic equations with uncertainties and applications to socio-economic sciences. - Lorenzo Pareschi; Torsten Trimborn; Mattia Zanella (CoRR, 2021)

Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy. - Giulia Bertaglia; Lorenzo Pareschi (CoRR, 2021)

Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty. - Giulia Bertaglia; Walter Boscheri; Giacomo Dimarco; Lorenzo Pareschi (CoRR, 2021)

Mean-field particle swarm optimization. - Sara Grassi; Hui Huang; Lorenzo Pareschi; Jinniao Qiu (CoRR, 2021)

Spreading of fake news, competence, and learning: kinetic modeling and numerical approximation. - Jonathan Franceschi; Lorenzo Pareschi (CoRR, 2021)

Multi-fidelity methods for uncertainty propagation in kinetic equations. - Giacomo Dimarco; Liu Liu; Lorenzo Pareschi; Xueyu Zhu (CoRR, 2021)

Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model. - Giulia Bertaglia; Valerio Caleffi; Lorenzo Pareschi; Alessandro Valiani (J. Comput. Phys., 2021)

High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers. - Walter Boscheri; Lorenzo Pareschi (J. Comput. Phys., 2021)

Consensus-Based Optimization on the Sphere: Convergence to Global Minimizers and Machine Learning. - Massimo Fornasier; Lorenzo Pareschi; Hui Huang; Philippe Sünnen (J. Mach. Learn. Res., 2021)

Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods. - Jingwei Hu; Lorenzo Pareschi; Yubo Wang (SIAM/ASA J. Uncertain. Quantification, 2021)

A Consensus-Based Algorithm for Multi-Objective Optimization and Its Mean-Field Description. - Giacomo Borghi; Michael Herty; Lorenzo Pareschi (CDC, 2022)

Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread. - Giulia Bertaglia; Chuan Lu; Lorenzo Pareschi; Xueyu Zhu (CoRR, 2022)

Micro-macro stochastic Galerkin methods for nonlinear Fokker-Plank equations with random inputs. - Giacomo Dimarco; Lorenzo Pareschi; Mattia Zanella (CoRR, 2022)

Global high-order numerical schemes for the time evolution of the general relativistic radiation magneto-hydrodynamics equations. - Manuel R. Izquierdo; Lorenzo Pareschi; Borja Miñano; Joan Massó; Carlos Palenzuela (CoRR, 2022)

Effects of Vaccination Efficacy on Wealth Distribution in Kinetic Epidemic Models. - Emanuele Bernardi; Lorenzo Pareschi; Giuseppe Toscani; Mattia Zanella (Entropy, 2022)

A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs. - Liu Liu; Lorenzo Pareschi; Xueyu Zhu (J. Comput. Phys., 2022)

On the Construction of Conservative Semi-Lagrangian IMEX Advection Schemes for Multiscale Time Dependent PDEs. - Walter Boscheri; Maurizio Tavelli; Lorenzo Pareschi (J. Sci. Comput., 2022)

Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. - Giulia Bertaglia; Liu Liu; Lorenzo Pareschi; Xueyu Zhu (Networks Heterog. Media, 2022)

Anisotropic Diffusion in Consensus-Based Optimization on the Sphere. - Massimo Fornasier; Hui Huang; Lorenzo Pareschi; Philippe Sünnen (SIAM J. Optim., 2022)

Moment Preserving Fourier-Galerkin Spectral Methods and Application to the Boltzmann Equation. - Lorenzo Pareschi; Thomas Rey (SIAM J. Numer. Anal., 2022)

The Kinetic Theory of Mutation Rates. - Lorenzo Pareschi; Giuseppe Toscani (Axioms, 2023)

Modeling opinion polarization on social media: application to Covid-19 vaccination hesitancy in Italy. - Jonathan Franceschi; Lorenzo Pareschi; Elena Bellodi; Marco Gavanelli; Marco Bresadola (CoRR, 2023)

Multiscale constitutive framework of 1D blood flow modeling: Asymptotic limits and numerical methods. - Giulia Bertaglia; Lorenzo Pareschi (CoRR, 2023)

Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. - Walter Boscheri; Giacomo Dimarco; Lorenzo Pareschi (J. Comput. Phys., 2023)

Constrained Consensus-Based Optimization. - Giacomo Borghi; Michael Herty; Lorenzo Pareschi (SIAM J. Optim., 2023)

Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties. - Andrea Medaglia; Lorenzo Pareschi; Mattia Zanella (J. Comput. Phys., 2023)

Multiscale Constitutive Framework of One-Dimensional Blood Flow Modeling: Asymptotic Limits and Numerical Methods. - Giulia Bertaglia; Lorenzo Pareschi (Multiscale Model. Simul., 2023)

Reduced variance random batch methods for nonlocal PDEs. - Lorenzo Pareschi; Mattia Zanella (CoRR, 2024)

Optimization by linear kinetic equations and mean-field Langevin dynamics. - Lorenzo Pareschi (CoRR, 2024)

Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data. - Andrea Medaglia; Lorenzo Pareschi; Mattia Zanella (J. Comput. Phys., 2024)

Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker-Planck Equations with Random Inputs. - Giacomo Dimarco; Lorenzo Pareschi; Mattia Zanella (Multiscale Model. Simul., 2024)

Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws. - Giulia Bertaglia; Lorenzo Pareschi; Russel E. Caflisch (J. Sci. Comput., 2024)

Instantaneous control strategies for magnetically confined fusion plasma. - Giacomo Albi; Giacomo Dimarco; Federica Ferrarese; Lorenzo Pareschi (J. Comput. Phys., 2025)

Conservative Polynomial Approximations and Applications to Fokker-Planck Equations. - Tino Laidin; Lorenzo Pareschi (SIAM J. Sci. Comput., 2025)

Multi-fidelity and multi-level Monte Carlo methods for kinetic models of traffic flow. - Elisa Iacomini; Lorenzo Pareschi (CoRR, 2025)

A data augmentation strategy for deep neural networks with application to epidemic modelling. - Muhammad Awais; Abu Sayfan Ali; Giacomo Dimarco; Federica Ferrarese; Lorenzo Pareschi (CoRR, 2025)

Wasserstein convergence rates for stochastic particle approximation of Boltzmann models. - Giacomo Borghi; Lorenzo Pareschi (CoRR, 2025)

Hierarchical dynamic domain decomposition for the multiscale Boltzmann equation. - Domenico Caparello; Lorenzo Pareschi; Thomas Rey (CoRR, 2025)

Robust feedback control of collisional plasma dynamics in presence of uncertainties. - Giacomo Albi; Giacomo Dimarco; Federica Ferrarese; Lorenzo Pareschi (CoRR, 2025)

Structure and asymptotic preserving deep neural surrogates for uncertainty quantification in multiscale kinetic equations. - Wei Chen; Giacomo Dimarco; Lorenzo Pareschi (CoRR, 2025)

Swarm-based optimization with jumps: a kinetic BGK framework and convergence analysis. - Giacomo Borghi; Hyesung Im; Lorenzo Pareschi (CoRR, 2025)