Analyse numérique

• Time splitting and error estimates for nonlinear Schrödinger equations with a potential.
  [preprint]
• Scattering and uniform in time error estimates for splitting method in NLS.
  Avec Chunmei Su. Found. Comput. Math. 24 (2024), 683-722. [article|preprint]
• Error estimates of local energy regularization for the logarithmic Schrödinger equation.
  Avec Weizhu Bao, Chunmei Su et Qinglin Tang. Math. Models Methods Appl. Sci. 32, no. 1, 101-136. [article|preprint]
• Regularized numerical methods for the logarithmic Schrödinger equation.
  Avec Weizhu Bao, Chunmei Su et Qinglin Tang. Numer. Math. 143 (2019), no. 2, 461-487. [article|preprint]
• Error estimates of a regularized finite difference method for the logarithmic Schrödinger equation.
  Avec Weizhu Bao, Chunmei Su et Qinglin Tang. SIAM J. Numer. Anal. 57 (2019), no. 2, 657-680. [article|preprint]
• On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit II. Analytic regularity.
  Avec Clément Gallo. Numer. Math. 136 (2017), no. 1, 315-342. [article|preprint]
• Splitting methods for the nonlocal Fowler equation.
  Avec Afaf Bouharguane. Math. Comp. 83 (2014), no. 287, 1121-1141. [article|preprint]
• On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit.
  SIAM J. Numer. Anal. 51 (2013), no. 6, 3232-3258. [article|preprint]
• An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit.
  Avec Christophe Besse et Florian Méhats. Multiscale Model. Simul. 11 (2013), no. 4, 1228-1260. [article|preprint]
• Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime.
  Avec Bijan Mohammadi. ESAIM Math. Model. Numer. Anal. 45 (2011), no. 5, 981-1008. [article|preprint]
• Numerical aspects of nonlinear Schrödinger equations in the presence of caustics.
  Avec Laurent Gosse. Math. Models Methods Appl. Sci. 17 (2007), no. 10, 1531-1553. [article|preprint]