Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications. - Rémi Carles (SIAM J. Math. Anal., 2003)

(Semi)Classical Limit of the Hartree Equation with Harmonic Potential. - Rémi Carles; Norbert J. Mauser; Hans Peter Stimming (SIAM J. Appl. Math., 2005)

Semiclassical analysis for Hartree equation. - Rémi Carles; Satoshi Masaki (Asymptot. Anal., 2008)

Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations. - Rémi Carles; Éric Dumas; Christof Sparber (SIAM J. Math. Anal., 2010)

An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. - Christophe Besse; Rémi Carles; Florian Méhats (Multiscale Model. Simul., 2013)

On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit. - Rémi Carles (SIAM J. Numer. Anal., 2013)

Splitting methods for the nonlocal Fowler equation. - Afaf Bouharguane; Rémi Carles (Math. Comput., 2014)

Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration. - Matthieu Alfaro; Rémi Carles (SIAM J. Appl. Math., 2014)

Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective. - Rémi Carles; Anne Nouri (Asymptot. Anal., 2017)

On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit II. Analytic regularity. - Rémi Carles; Clément Gallo (Numerische Mathematik, 2017)

Regularized numerical methods for the logarithmic Schrödinger equation. - Weizhu Bao; Rémi Carles; Chunmei Su; Qinglin Tang (Numerische Mathematik, 2019)

Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation. - Weizhu Bao; Rémi Carles; Chunmei Su; Qinglin Tang (SIAM J. Numer. Anal., 2019)

Error estimates of energy regularization for the logarithmic Schrodinger equation. - Weizhu Bao; Rémi Carles; Chunmei Su; Qinglin Tang (CoRR, 2020)

Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential. - Rémi Carles; Chunmei Su (CoRR, 2022)

Time splitting and error estimates for nonlinear Schrodinger equations with a potential. - Rémi Carles (CoRR, 2024)

Scattering and Uniform in Time Error Estimates for Splitting Method in NLS. - Rémi Carles; Chunmei Su (Found. Comput. Math., 2024)

On scattering for NLS: rigidity properties and numerical simulations via the lens transform. - Rémi Carles; Georg Maierhofer (CoRR, 2025)