Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation
zbMATH Open document ID: 1277.65073
author: Yiqiang Xu
author: Luming Zhang
published in: Computer Physics Communications
publication date: 2013-04-25T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 6157401
zbMATH Keywords: cubic nonlinear Schrödinger equation
zbMATH Keywords: alternating direction implicit
zbMATH Keywords: high-order compact
zbMATH Keywords: extrapolation technique
MaRDI profile type: Publication
full work available at URL: j.cpc.2012.01.006
OpenAlex ID: W1987868570
cites work: Structure of a quantized vortex in boson systems
cites work: Difference schemes for solving the generalized nonlinear Schrödinger equation
cites work: Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
cites work: A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
cites work: A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
cites work: The use of compact boundary value method for the solution of two-dimensional Schrödinger equation
cites work: A new kind of discretization scheme for solving a two-dimensional time-independent Schrödinger equation
cites work: A generalization of Numerov's method for the numerical solution of the Schrödinger equation in two dimensions
cites work: A variable-step Numerov method for the numerical solution of the Schrödinger equation
cites work: High order ADI method for solving unsteady convection-diffusion problems
cites work: A high-order Padé ADI method for unsteady convection-diffusion equations
cites work: ADI method -- domain decomposition
cites work: ADI schemes for higher-order nonlinear diffusion equations.
cites work: The new alternating direction implicit difference methods for the wave equations
cites work: The new alternating direction implicit difference methods for solving three-dimensional parabolic equations
cites work: Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
cites work: High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation
cites work: High-order compact ADI methods for parabolic equations
cites work: A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems
DOI: 10.1016/J.CPC.2012.01.006
description: scientific article; zbMATH DE number 6157401