241 citations
- Université de RennesFR519 papers
- Centre National de la Recherche ScientifiqueFR335 papers
- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
- Institut National des Sciences Appliquées de RennesFR36 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR26 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Institut de Mathématiques de ToulouseFR24 papers
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- Centre Inria de l'Université de RennesFR20 papers
7 papers · 2 filters
Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 degree V-notch with Neumann boundary conditions
Samuel Shannon, Zohar Yosibash, Monique Dauge +1
This report presents explicit analytical expressions for the primal, primal shadows, dual and dual shadows functions for the Laplace equation in the vicinity of a circular singular…
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
Tony Lelièvre, Francis Nier, Grigorios A. Pavliotis
We consider non-reversible perturbations of reversible diffusions that do not alter the invariant distribution and we ask whether there exists an optimal perturbation such that the…
Asymptotic preserving schemes for highly oscillatory kinetic equation
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
This work is devoted to the numerical simulation of a Vlasov-Poisson model describing a charged particle beam under the action of a rapidly oscillating external electric field. We…
Accuracy of unperturbed motion of particles in a gyrokinetic semi-Lagrangian code
Guillaume Latu, Virginie Grandgirard, Jérémie Abiteboul +9
Inaccurate description of the equilibrium can yield to spurious effects in gyrokinetic turbulence simulations. Also, the Vlasov solver and time integration schemes impact the conse…
Existence and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equation
Dario Bambusi, Erwan Faou, Benoit Grebert
In this paper we study the long time behavior of a discrete approximation in time and space of the cubic nonlinear Schrödinger equation on the real line. More precisely, we conside…
Strong and weak order in averaging for SPDEs
Charles-Edouard Bréhier
We show an averaging result for a system of stochastic evolution equations of parabolic type with slow and fast time scales. We derive explicit bounds for the approximation error w…