3 papers
math.NA2026
A Spectral-Based Method for Network-Formation PDEs
Pedro Aceves-Sanchez, Pierre Degond, Sara Merino-Aceituno +1
We propose and study a simple and scalable Fourier-based spectral method for a continuum model of network formation under periodic boundary conditions. The model provides the evolu…
math.NA2023
Convergence proof for first-order position-based dynamics: An efficient scheme for inequality constrained ODEs
Steffen Plunder, Sara Merino-Aceituno
NVIDIA researchers have pioneered an explicit method, position-based dynamics (PBD), for simulating systems with contact forces, gaining widespread use in computer graphics and ani…
math.AP2019
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
Pierre Degond, Antoine Diez, Amic Frouvelle +1
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is…