Analysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schr\'odinger equations with saturable nonlinearity

Autor: Le, Anh-Ha, Huynh, Toan T., Nguyen, Quan M.

Publikováno v: Comput. Math. Appl. 167 (2024) 160

We analyze a Crank-Nicolson finite difference discretization for the perturbed (2+1)D nonlinear Schr\"odinger equation with saturable nonlinearity and a perturbation of cubic loss. We show the boundedness, the existence and uniqueness of a numerical

Externí odkaz: http://arxiv.org/abs/2306.12287

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Discrete Poincaré inequalities for arbitrary meshes in the discrete duality finite volume context

Autor: Le, Anh Ha, Omnes, Pascal

Publikováno v: Electronic Transactions on Numerical Analysis
Electronic Transactions on Numerical Analysis, 2013, 40, pp. 94--119
Electronic Transactions on Numerical Analysis, Kent State University Library, 2013, 40, pp. 94--119

International audience; We establish discrete Poincaré type inequalities on a twodimensional polygonal domain covered by arbitrary, possibly nonconforming meshes. On such meshes, discrete scalar fields are defined by their values both at the cell ce

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0b3713b8cf616995686a0f034579b8ec
https://cea.hal.science/cea-00726543

An a posteriorierror estimation for the discrete duality finite volume discretization of the Stokes equations

Autor: Le, Anh Ha, Omnes, Pascal

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis; May 2015, Vol. 49 Issue: 3 p663-693, 31p