Galerkin finite element method for damped nonlinear Schrödinger equation
Author:
Funder
National Natural Science Foundation of China
China Postdoctoral Science Foundation
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference61 articles.
1. Finite difference discretization of the cubic Schrödinger equation;Akrivis;IMA J. Numer. Anal.,1993
2. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation;Akrivis;Numer. Math.,1991
3. Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations;Antoine;Comput. Phys. Commun.,2013
4. An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity;Bao;SIAM J. Numer. Anal.,2003
5. On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime;Bao;J. Comput. Phys.,2002
Cited by 7 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. Numerical solution of nonlinear Schrödinger equation with damping term on unbounded domain;Applied Mathematics Letters;2024-02
2. A Numerical Method Based on Operator Splitting Collocation Scheme for Nonlinear Schrödinger Equation;Mathematical and Computational Applications;2024-01-15
3. Stability and Convergence Analysis of Multi-Symplectic Variational Integrator for Nonlinear Schrödinger Equation;Mathematics;2023-09-04
4. Fifth-order nonlinear Schrödinger equation as Routhian reduction of the nonlinear Klein–Gordon model;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-09
5. Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity;Computational Methods in Applied Mathematics;2023-03-31
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3