6 citations · 6 across the 6 of their papers we have counts for
10 papers
Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
Yvonne Alama Bronsard, Clémentine Courtès, Benjamin Melinand
Recently, novel integrability techniques, and most notably Birkhoff coordinates followed by an explicit formula, have been introduced to solve the Benjamin--Ono (BO) equation, lead…
Neural non-canonical Hamiltonian dynamics for long-time simulations
Clémentine Courtès, Emmanuel Franck, Michael Kraus +2
This work focuses on learning non-canonical Hamiltonian dynamics from data, where long-term predictions require the preservation of structure both in the learned model and in numer…
The Spear and the Ring: Emergent Structures in Magnetic Colloidal Suspensions
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +2
We study from a mathematical point of view the nanoparticle model of a magnetic colloid, presented by G. Klughertz. Our objective is to obtain properties of stable stationary struc…
Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires
Raphaël Côte, Clémentine Courtès, Guillaume Ferriere +2
In this article, we investigate a simple model of notched ferromagnetic nanowires using tools from calculus of variations and critical point theory. Specifically, we focus on the c…
Micromagnetic simulations of the size dependence of the Curie temperature in ferromagnetic nanowires and nanolayers
Clémentine Courtès, Matthieu Boileau, Raphaël Côte +2
We solve the Landau-Lifshitz-Gilbert equation in the finite-temperature regime, where thermal fluctuations are modeled by a random magnetic field whose variance is proportional to…
Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +1
In this paper, we consider a ferromagnetic material of ellipsoidal shape. The associated magnetic moment then has two asymptotically stable opposite equilibria, of the form $\pm\ov…
Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity
C. Courtès, E. Franck, K. Lutz +2
Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogene…
Convergence for PDEs with an arbitrary odd order spatial derivative term
Clémentine Courtès
We compute the rate of convergence of forward, backward and central finite difference -schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove conv…
Discrete energy estimates for the abcd-systems
Cosmin Burtea, Clémentine Courtès
In this article, we propose finite volume schemes for the -systems and we establish stability and error estimates. The order of accuracy depends on the so-called BBM-type dis…
Error estimates of finite difference schemes for the Korteweg-de Vries equation
Clémentine Courtès, Frédéric Lagoutière, Frédéric Rousset
This article deals with the numerical analysis of the Cauchy problem for the Korteweg-de Vries equation with a finite difference scheme. We consider the Rusanov scheme for the hype…