Superconvergence analysis of bi-k-degree rectangular elements for two-dimensional time-dependent Schrödinger equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials
Link
http://link.springer.com/article/10.1007/s10483-018-2369-9/fulltext.html
Reference37 articles.
1. BAO, W. Z., JIN, S., and MARKOWICH, P. A. Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. SIAM Journal on Scientific Computing, 25(1), 27–64 (2003)
2. FEIT, M. D., FLECK, J. A., and STEIGER, A. Solution of the Schrödinger equation by a spectral method. Journal of Computational Physics, 47, 412–433 (1982)
3. AKRIVIS, G. D. Finite difference discretization of the cubic Schrödinger equation. IMA Journal of Numerical Analysis, 13(1), 115–124 (1993)
4. BAO, W. Z. and CAI, Y. Y. Uniform error estimates of finite difference methods for the nonlinear Schrödinger equation with wave operator. SIAM Journal on Numerical Analysis, 50(2), 492–521 (2012)
5. HAN, H. D., JIN, J. C., and WU, X. N. A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain. Computers and Mathematics with Applications, 50(8), 1345–1362 (2005)
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. Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method;Results in Applied Mathematics;2023-11
2. Two‐grid mixed finite element method for two‐dimensional time‐dependent Schrödinger equation;Mathematical Methods in the Applied Sciences;2023-03-20
3. A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods;Computers & Mathematics with Applications;2023-01
4. Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation;Advances in Applied Mathematics and Mechanics;2022-06
5. Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrodinger Equation;Numerical Mathematics: Theory, Methods and Applications;2020-06
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