206 citations · 1.7k across the 107 of their papers we have counts for
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Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics
Giacomo Albi, Lorenzo Pareschi
In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify t…
Exponential Runge-Kutta schemes for inhomogeneous Boltzmann equations with high order of accuracy
Qin Li, Lorenzo Pareschi
We consider the development of exponential methods for the robust time discretization of space inhomogeneous Boltzmann equations in stiff regimes. Compared to the space homogeneous…
Numerical Methods for the Optimal Control of Scalar Conservation Laws
M. Herty, L. Pareschi, S. Steffensen
We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation sche…
Asymptotic preserving Implicit-Explicit Runge-Kutta methods for non linear kinetic equations
G. Dimarco, L. Pareschi
We discuss Implicit-Explicit (IMEX) Runge Kutta methods which are particularly adapted to stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible co…
Binary interaction algorithms for the simulation of flocking and swarming dynamics
Giacomo Albi, Lorenzo Pareschi
Microscopic models of flocking and swarming takes in account large numbers of interacting individ- uals. Numerical resolution of large flocks implies huge computational costs. Typi…
High order asymptotic-preserving schemes for the Boltzmann equation
Giacomo Dimarco, Lorenzo Pareschi
In this note we discuss the construction of high order asymptotic preserving numerical schemes for the Boltzmann equation. The methods are based on the use of Implicit-Explicit (IM…