COOKIE (COmputing & apprOximating KInetic Equations)

Contribution List

1. A neural delta-f method for low-noise PIC simulations

Martin Campos Pinto

7/16/26, 9:30 AM

The delta-f method is a powerful tool to reduce statistical errors in particle simulations of kinetic problems. In its traditional form where it amounts of using an equilibrium state as a control variate, it is essentially limited to regimes where the distribution does not strongly deviate from this equilibrium. In general regimes, several methods have been proposed to extend the approach but...

2. Damping around inhomogeneous stationary states of the Vlasov-HMF model

Erwan Faou (INRIA)

7/16/26, 10:10 AM

We study the dynamics of perturbations around inhomogeneous stationary states of the Vlasov-HMF (Hamiltonian Mean-Field) model. These stationary solutions are built with compact support and satisfy a linearized stability criterion (Penrose criterion). We show a scattering behavior to a modified state over long (but finite) time depending on the size of the perturbation. This implies a damping...

3. A conservative cascade semi-Lagrangian method for drift-kinetic simulations

Michel Mehrenberger (Marseille)

7/16/26, 11:00 AM

We present the conservative cascade semi-Lagrangian (CCSL) method recently developed in [3] for solving Vlasov-type equations. This approach performs multidimensional transport via a sequence of conservative one-dimensional remaps along coordinate directions, using characteristic interpolation to ensure strict mass conservation. Unlike [1,2], which rely on mesh intersection techniques for...

4. Numerical analysis of a kinetic equation with a non-local Hamilton-Jacobi limit

Hélène HIVERT (Inria - Géosciences Rennes)

7/16/26, 11:40 AM

In this talk, I will consider the kinetic equation studied in [Bouin, Calvez, Grenier, Nadin, 2023]. I will present the design and analysis of a numerical scheme adapted to the asymptotic behavior of the equation when considered in a large deviations regime. In this regime, the equation degenerates into a nonlocal Hamilton–Jacobi equation, which falls outside the standard frameworks of...

5. Time splitting for nonlinear Schrödinger equations: Strichartz estimates and consequences

Remi Carles

7/16/26, 2:10 PM

Strichartz estimates have allowed spectacular progress in the analytical
study of nonlinear dispersive equations such as nonlinear Schrödinger
equations. We show two consequences regarding error estimates for time
splitting method: a global in time error estimate, obtained with Chunmei
Su, and low regularity error estimates in the presence of an harmonic
potential, using in addition...

6. A micro-macro model for self-propelled particle systems of Vicsek type

Anais Crestetto (Nantes)

7/16/26, 2:50 PM

From the Vicsek model, describing at the individual scale the motion of particles that tend to align with each others, a kinetic equation of Fokker-Planck type can be written. Works of Degond, Frouvelle, Motsch and Navoret investigate the large-scale ("hydrodynamic") limit, leading to the SOH model, and propose numerical scheme to approach its solution.

In this talk, I will first present a...

7. Generalised UGK and UGKWP Scheme in the Diffusive Limit

Julien Mathiaud (Rennes)

7/16/26, 3:40 PM

The unified gas kinetic scheme (UGKS) was initially designed to address
multiscale challenges in rarefied gas dynamics and then extended to
radiative transfert theory, as described by BGK like relaxation models.
In this talk, we extend its application to linear kinetic models with
non isotropic scattering collision operators, as well as Fokker-Planck
models . These problems typically...