A linearized energy–conservative finite element method for the nonlinear Schrödinger equation with wave operator-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

A linearized energy–conservative finite element method for the nonlinear Schrödinger equation with wave operator

Published:2019-06 Issue: Volume:140 Page:183-198
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Cai Wentao,He Dongdong,Pan Kejia

Funder

Chinese University of Hong Kong, Shenzhen

National Natural Science Foundation of China

Excellent Youth Foundation of Hunan Province of China

Central South University

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference52 articles.

1. Solitons and the Inverse Scattering Transformation;Ablowitz,1981

2. Linearly implicit finite element methods for the time dependent Joule heating problem;Akrivis;BIT,2005

3. Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations;Antoine;Comput. Phys. Commun.,2013

4. Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator;Bao;SIAM J. Numer. Anal.,2012

5. Mathematical theory and numerical methods for Bose–Einstein condensation;Bao;Kinet. Relat. Models,2013

Cited by 33 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. Improved error bounds on a time splitting method for the nonlinear Schrödinger equation with wave operator;Numerical Methods for Partial Differential Equations;2024-08-12

2. A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation;Applied Numerical Mathematics;2024-07

3. Time-Space Adaptive Finite Element Method for Nonlinear Schr\"{o}dinger Equation;Advances in Applied Mathematics and Mechanics;2024-07

4. Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator;Advances in Computational Mathematics;2023-10-23

5. Stability and Convergence Analysis of Multi-Symplectic Variational Integrator for Nonlinear Schrödinger Equation;Mathematics;2023-09-04

同舟云学术

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