most citedGamma-ray signature of superluminous supernovae: Fermi-LAT GeV detection of SN 2017egm and evidence of a central engine

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math.NA2026

Hermite Semi-Lagrangian schemes on triangular meshes for advection equations

Ali Elarif, Michel Mehrenberger, Laurent Navoret

High-order Hermite semi-Lagrangian schemes on unstructured triangular grids are proposed for advection equations, based on Bell and Argyris finite elements. Nodal semi-Lagrangian s…

math.NA2025

From flocking to jamming in collective cell dynamics: a Vicsek-like model including contact forces

Laurent Navoret, Roxana Sublet, Marcela Szopos

The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framewo…

math.NA2025

Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural

Emmanuel Franck, Laurent Navoret, Vincent Vigon +2

Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solut…