3 citations · 3 across the 3 of their papers we have counts for
5 papers
High order semi-implicit multistep methods for time dependent partial differential equations
Giacomo Albi, Lorenzo Pareschi
We consider the construction of semi-implicit linear multistep methods which can be applied to time dependent PDEs where the separation of scales in additive form, typically used i…
Implicit-Explicit multistep methods for hyperbolic systems with multiscale relaxation
Giacomo Albi, Giacomo Dimarco, Lorenzo Pareschi
We consider the development of high order space and time numerical methods based on Implicit-Explicit (IMEX) multistep time integrators for hyperbolic systems with relaxation. More…
Boltzmann games in heterogeneous consensus dynamics
Giacomo Albi, Lorenzo Pareschi, Mattia Zanella
We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the foll…
Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming
G. Albi, D. Balagué, J. A. Carrillo +1
We study the linear stability of flock and mill ring solutions of two individual based models for biological swarming. The individuals interact via a nonlocal interaction potential…
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…