Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system
type: Item
instance of: scholarly article
title: Unconditional \(L_\infty\) convergence of a compact ADI scheme for coupled nonlinear Schrödinger system
zbMATH Open document ID: 1437.65092
author: Juan Chen
author: Fangqi Chen
published in: Applied Numerical Mathematics
publication date: 2020-04-07T00:00:00Z
review text: A three-level compact ADI scheme is developed to solve the two-dimensional coupled nonlinear Schrödinger (CNLS) system for which, using \(L_{\infty}\) estimates, it is proved that the new scheme is second-order accurate in time variable and fourth-order accurate in space variable, and stable. Numerical experiments demonstrate that the method is highly accurate and efficient. It can be directly extended to the three-dimensional CNLS system and multi-dimensional nonlinear Schödinger-type equations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7188155
zbMATH Keywords: compact ADI scheme
zbMATH Keywords: coupled nonlinear Schrödinger system
zbMATH Keywords: convergence in \(L_\infty\) norm
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
full work available at URL: j.apnum.2020.03.006
OpenAlex ID: W3011307630
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DOI: 10.1016/J.APNUM.2020.03.006
description: scientific article; zbMATH DE number 7188155