Local discontinuous Galerkin methods for nonlinear Schrödinger equations-Reference-Cited by-同舟云学术

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Published:2005-05 Issue:1 Volume:205 Page:72-97
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Xu Yan,Shu Chi-Wang

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference34 articles.

1. A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier–Stokes equations;Bassi;J. Comput. Phys.,1997

2. The propagation of nonlinear wave envelops;Benney;J. Math. Phys.,1967

3. Gaussons: solitons of the logarithmic Schrödinger equation;Białynicki-Birula;Phys. Scripta,1979

4. Solitons in laser physics;Bullough;Phys. Scripta,1979

5. Difference schemes for solving the generalized nonlinear Schrödinger equation;Chang;J. Comput. Phys.,1999

Cited by 212 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel multilevel finite element method for a generalized nonlinear Schrödinger equation;Journal of Computational and Applied Mathematics;2025-03

2. A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation;Applied Numerical Mathematics;2024-10

3. Local Discontinuous Galerkin Methods with Multistep Implicit–Explicit Time Discretization for Nonlinear Schrödinger Equations;Journal of Scientific Computing;2024-08-13

4. The cell-average based neural network for numerical approximation of the nonlinear Schrödinger equation;Nonlinear Dynamics;2024-08-08

5. Mass and energy conservative high-order diagonally implicit Runge–Kutta schemes for nonlinear Schrödinger equation;Applied Mathematics Letters;2024-07