On scattering for NLS: rigidity properties and numerical simulations via the lens transform.

Rémi Carles

Rémi Carles Georg Maierhofer On scattering for NLS: rigidity properties and numerical simulations via the lens transform. 2025 June abs/2506.11560 CoRR https://doi.org/10.48550/arXiv.2506.11560 db/journals/corr/corr2506.html#abs-2506-11560 streams/journals/corr

Rémi Carles Chunmei Su Scattering and Uniform in Time Error Estimates for Splitting Method in NLS. 683-722 2024 April 24 Found. Comput. Math. 2 https://doi.org/10.1007/s10208-022-09600-9 db/journals/focm/focm24.html#CarlesS24

Rémi Carles Time splitting and error estimates for nonlinear Schrodinger equations with a potential. 2024 abs/2408.14816 CoRR https://doi.org/10.48550/arXiv.2408.14816 db/journals/corr/corr2408.html#abs-2408-14816 streams/journals/corr

Rémi Carles Chunmei Su Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential. 2022 abs/2202.09599 CoRR https://arxiv.org/abs/2202.09599 db/journals/corr/corr2202.html#abs-2202-09599

Rémi Carles Chunmei Su Scattering and uniform in time error estimates for splitting method in NLS. 2021 abs/2110.14258 CoRR https://arxiv.org/abs/2110.14258 db/journals/corr/corr2110.html#abs-2110-14258

Weizhu Bao Rémi Carles Chunmei Su Qinglin Tang Error estimates of energy regularization for the logarithmic Schrodinger equation. 2020 abs/2006.05114 CoRR https://arxiv.org/abs/2006.05114 db/journals/corr/corr2006.html#abs-2006-05114

Weizhu Bao Rémi Carles Chunmei Su Qinglin Tang Regularized numerical methods for the logarithmic Schrödinger equation. 461-487 2019 143 Numerische Mathematik 2 https://doi.org/10.1007/s00211-019-01058-2 db/journals/nm/nm143.html#BaoCST19

Weizhu Bao Rémi Carles Chunmei Su Qinglin Tang Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation. 657-680 2019 57 SIAM J. Numer. Anal. 2 https://doi.org/10.1137/18M1177445 db/journals/siamnum/siamnum57.html#BaoCST19

Rémi Carles Anne Nouri Monokinetic solutions to a singular Vlasov equation from a semiclassical perspective. 99-117 2017 102 Asymptot. Anal. 1-2 https://doi.org/10.3233/ASY-171412 db/journals/asy/asy102.html#CarlesN17

Rémi Carles Clément Gallo On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit II. Analytic regularity. 315-342 2017 136 Numerische Mathematik 1 https://doi.org/10.1007/s00211-016-0841-y db/journals/nm/nm136.html#CarlesG17

Afaf Bouharguane Rémi Carles Splitting methods for the nonlocal Fowler equation. 2014 83 Math. Comput. 287 https://doi.org/10.1090/S0025-5718-2013-02757-3 db/journals/moc/moc83.html#BouharguaneC14 1121-1141

Matthieu Alfaro Rémi Carles Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration. 1919-1934 2014 74 SIAM J. Appl. Math. 6 https://doi.org/10.1137/140979411 db/journals/siamam/siamam74.html#AlfaroC14

Christophe Besse Rémi Carles Florian Méhats An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit. 1228-1260 2013 11 Multiscale Model. Simul. 4 https://doi.org/10.1137/120899017 db/journals/mmas/mmas11.html#BesseCM13

Rémi Carles On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit. 3232-3258 2013 51 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/120892416 db/journals/siamnum/siamnum51.html#Carles13

Rémi Carles Éric Dumas Christof Sparber Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations. 489-518 2010 42 SIAM J. Math. Anal. 1 https://doi.org/10.1137/090750871 db/journals/siamma/siamma42.html#CarlesDS10

Rémi Carles Satoshi Masaki Semiclassical analysis for Hartree equation. 211-227 2008 58 Asymptot. Anal. 4 https://doi.org/10.3233/ASY-2008-0882 db/journals/asy/asy58.html#CarlesM08

Rémi Carles Norbert J. Mauser Hans Peter Stimming (Semi)Classical Limit of the Hartree Equation with Harmonic Potential. 29-56 2005 66 SIAM J. Appl. Math. 1 https://doi.org/10.1137/040609732 db/journals/siamam/siamam66.html#CarlesMS05

Rémi Carles Nonlinear Schrödinger Equations with Repulsive Harmonic Potential and Applications. 823-843 2003 35 SIAM J. Math. Anal. 4 https://doi.org/10.1137/S0036141002416936 db/journals/siamma/siamma35.html#Carles03

Matthieu Alfaro Weizhu Bao Christophe Besse Afaf Bouharguane Éric Dumas Clément Gallo Georg Maierhofer Satoshi Masaki Norbert J. Mauser Florian Méhats Anne Nouri Christof Sparber Hans Peter Stimming Chunmei Su Qinglin Tang