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20222025
most citedHybrid Kinetic/Fluid numerical method for the Vlasov-BGK equation in the diffusive scaling

1 citations · 2 across the 7 of their papers we have counts for

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8 papers · 1 filter

math.NA2025

Discrete -theorem for a finite volume discretization of a nonlinear kinetic system: application to hypocoercivity

Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey

In this article, we study the long-time behavior of a finite-volume discretization for a nonlinear kinetic reaction model involving two interacting species. Building upon the semin…

math.NA2025

A space-time hybrid parareal method for kinetic equations in the diffusive scaling

Tino Laidin

We present a novel multiscale numerical approach that combines parallel-in-time computation with hybrid domain adaptation for linear collisional kinetic equations in the diffusive…

math.NA2025

Numerical analysis of the large deviation regime of a kinetic equation with a nonlocal Hamilton-Jacobi limit

Hélène Hivert, Tino Laidin

We develop and study an asymptotic-preserving (AP) numerical scheme for a linear kinetic equation in a large deviation regime. After applying a Hopf-Cole transform to the distribut…

math.NA2025

A Parareal in time numerical method for the collisional Vlasov equation in the hyperbolic scaling

Tino Laidin, Thomas Rey

We present the design of a multiscale parareal method for kinetic equations in the fluid dynamic regime. The goal is to reduce the cost of a fully kinetic simulation using a parall…

math.NA2024

Discrete hypocoercivity for a nonlinear kinetic reaction model

Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey

In this article, we propose a finite volume discretization of a one dimensional nonlinear reaction kinetic model proposed in [Neumann, Schmeiser, Kint. Rel. Mod. 2016], which descr…

math.NA2024

Conservative polynomial approximations and applications to Fokker-Planck equations

Tino Laidin, Lorenzo Pareschi

We address the problem of constructing approximations based on orthogonal polynomials that preserve an arbitrary set of moments of a given function without loosing the spectral con…