1 citations · 2 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
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…
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…
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…
Hybrid Kinetic/Fluid numerical method for the Vlasov-Poisson-BGK equation in the diffusive scaling
Tino Laidin, Thomas Rey
This short note presents an extension of the hybrid, model-adaptation method introduced in [T.~Laidin, \textit{arXiv 2202.03696}, 2022] for linear collisional kinetic equations in…
Hybrid Kinetic/Fluid numerical method for the Vlasov-BGK equation in the diffusive scaling
Tino Laidin
This paper presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic…