Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
Author:
Funder
NSF of China
Foundation CMG in Xi’an Jiaotong University
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference32 articles.
1. Finite difference solution of a nonlinear Schrödinger equation;Delfour;J. Comput. Phys.,1981
2. Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator;Bao;SIAM J. Numer. Anal.,2002
3. On convergence and stability of a numerical scheme of coupled nonlinear Schrödinger equations;Reichel;Comput. Math. Appl.,2008
4. On the L∞ convergence of a difference scheme for coupled nonlinear Schrodinger equations;Sun;Comput. Math. Appl.,2008
5. Optimal H1 estimates for two time-discrete Galerkin approximations of a nonlinear Schrödinger equation;Tourigny;IMA J. Numer. Anal.,1991
Cited by 36 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. On the convergence of a linearly implicit finite element method for the nonlinear Schrödinger equation;Studies in Applied Mathematics;2024-07-25
2. Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme;Applied Numerical Mathematics;2024-07
3. Superconvergence of a new energy dissipation finite element scheme for nonlinear Schrödinger equation with wave operator;Computers & Mathematics with Applications;2024-05
4. Optimal order error estimates of a mixed discontinuous Galerkin method with BDF-2 scheme for transient Darcy flow;Waves in Random and Complex Media;2023-12-26
5. Unconditionally convergent and superconvergent analysis of second-order weighted IMEX FEMs for nonlinear Ginzburg-Landau equation;Computers & Mathematics with Applications;2023-09
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