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
- Institut Universitaire de FranceFR22 papers
- Laboratoire de Mathématiques d'OrsayFR22 papers
- Centre Inria de l'Université de RennesFR20 papers
6 papers · 2 filters
Regularized numerical methods for the logarithmic Schrodinger equation
Weizhu Bao, Rémi Carles, Chunmei Su +1
We present and analyze two numerical methods for the logarithmic Schr{ö}dinger equation (LogSE) consisting of a regularized splitting method and a regularized conservative Crank-Ni…
Error and stability analysis of an anisotropic phase-field model for binary-fluid mixtures in the presence of magnetic-field
Amer Rasheed, Aziz Belmiloudi
In this article, we study the error and stability of the proposed numerical scheme in order to solve a two dimensional anisotropic phase-field model with convection and externally…
Highly-oscillatory problems with time-dependent vanishing frequency
Philippe Chartier, Mohammed Lemou, Florian Méhats +1
In the analysis of highly-oscillatory evolution problems, it is commonly assumed that a single frequency is present and that it is either constant or, at least, bounded from below…
Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times
Joackim Bernier, Erwan Faou
We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, nea…
Generalized Taylor operators and Hermite subdivision schemes
Jean-Louis Merrien, Tomas Sauer
Hermite subdivision schemes act on vector valued data that is not only considered as functions values in , but as consecutive derivatives, which leads to a mild form…
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the numerical solution of highly-oscillatory Vlasov and Vlasov-Poisson equations with non-homogeneous magnetic field. Designed in the spirit of recent un…