Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference46 articles.
1. Numerical solution of the Dirac equation by a mapped Fourier grid method;Ackad;J. Phys. A, Math. Gen.,2005
2. Computational performance of simple and efficient sequential and parallel Dirac equation solvers;Antoine;Comput. Phys. Commun.,2017
3. Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator;Bao;SIAM J. Numer. Anal.,2014
4. Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime;Bao;J. Sci. Comput.,2017
5. Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime;Bao;Sci. China Math.,2016
Cited by 9 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 uniform error estimates for the two-dimensional nonlinear space fractional Dirac equation with small potentials over long-time dynamics;Applied Mathematics and Computation;2024-04
2. Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime;Calcolo;2023-12-11
3. Improved error estimates of the time‐splitting methods for the long‐time dynamics of the Klein–Gordon–Dirac system with the small coupling constant;Numerical Methods for Partial Differential Equations;2023-12-11
4. Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Schrödinger equation with the small coupling constant;Mathematics and Computers in Simulation;2023-10
5. Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrodinger Equation with Wave Operator;E ASIAN J APPL MATH;2023
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