A conservative spectral collocation method for the nonlinear Schrödinger equation in two dimensions
type: Item
instance of: scholarly article
title: A conservative spectral collocation method for the nonlinear Schrödinger equation in two dimensions
zbMATH Open document ID: 1427.65314
author: Rongpei Zhang
author: Jiang Zhu
author: Xijun Yu
author: Mingjun Li
author: Abimael F. D. Loula
published in: Applied Mathematics and Computation
publication date: 2019-04-29T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7048765
zbMATH Keywords: spectral collocation method
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: compact integration factor method
zbMATH Keywords: conservation
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.amc.2017.04.035
OpenAlex ID: W2613320246
cites work: On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
cites work: Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
cites work: Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
cites work: Gaussons: Solitons of the Logarithmic Schrödinger Equation
cites work: Q3993205
cites work: Difference schemes for solving the generalized nonlinear Schrödinger equation
cites work: A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
cites work: Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
cites work: \(B\)-spline finite element studies of the nonlinear Schrödinger equation
cites work: Numerical studies on nonlinear Schrödinger equations by spectral collocation method with preconditioning
cites work: On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation
cites work: Compact and efficient conservative schemes for coupled nonlinear <scp>S</scp>chrödinger equations
cites work: A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation
cites work: A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations
cites work: Efficient semi-implicit schemes for stiff systems
cites work: Compact integration factor methods in high spatial dimensions
cites work: Superconvergence analysis of conforming finite element method for nonlinear Schrödinger equation
cites work: Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations
cites work: High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
cites work: Spectral Methods in MATLAB
cites work: High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation
cites work: Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation
cites work: Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
cites work: Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation
cites work: Local discontinuous Galerkin methods for nonlinear Schrödinger equations
DOI: 10.1016/J.AMC.2017.04.035
description: scientific article; zbMATH DE number 7048765