COOKIE (COmputing & apprOximating KInetic Equations)

jeudi 16 juil. 2026, 09:00 → 17:45 Europe/Paris

Petri-Turing (INRIA)

We are happy to organise the workshop Cookie.

We welcome all participants to the workshop, but registration is mandatory.

Location and time

The workshop will take place July 16th in the Pétri-Turing room at INRIA Rennes. 

List of Speakers

• Martin Campos Pinto
• Rémi Carles
• Anaïs Crestetto
• Erwan Faou
• Hélène Hivert
• Julien Mathiaud
• Michel Mehrenberger

1 TBA

Orateur: Martin Campos Pinto

2 TBA

Orateur: Erwan Faou (INRIA)

3 TBA

Orateur: Michel Mehrenberger (Marseille)

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

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 numerical analysis for Hamilton–Jacobi equations. I will show how a semi-Lagrangian scheme for the original kinetic equation allows one to derive a numerical method suited to the asymptotic regime, and how the convergence of this scheme can be established by relying on the analysis of the well-posedness of the continuous problem.

Orateur: Hélène HIVERT (Inria - Géosciences Rennes)

13:10 Déjeuner

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

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 Weyl-Hörmander pseudodifferential calculus.

Orateur: Remi Carles

6 TBA

Orateur: Anais Crestetto (Nantes)

7 Generalised UGK and UGKWP Scheme in the Diffusive Limit

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 exhibit a fully diffusive nature in
the optically thick limit (corresponding to a small Knudsen number). It
still leads to an asymptotic preserving (AP) property not only in this
diffusive regime but also in the free transport limit. A series of
numerical experiments confirm the effectiveness of the approach.

Orateur: Julien Mathiaud (Rennes)