A well-balanced and asymptotic-preserving scheme for the one-dimensional linear Dirac equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
http://link.springer.com/content/pdf/10.1007/s10543-014-0510-4.pdf
Reference50 articles.
1. Alvarez, A.: Linearized Crank–Nicolson scheme for nonlinear Dirac equations. J. Comp. Phys. 99, 348–350 (1992)
2. Alvarez, A., Kuo, P.-Y., Vazquez, L.: The numerical study of a nonlinear one-dimensional Dirac equation. Appl. Math. Comput. 13, 1–15 (1983)
3. Askar, A., Cakmak, A.S.: Explicit integration method for the time dependent Schrödinger equation for collision problems. J. Chem. Phys. 68, 2794–2798 (1978)
4. Bahlouli, H.; El Bouâzzaoui, C.; Jellal, A.: Solution of one-dimensional Dirac equation via Poincaré map. EPL 95, 17009 (2011). doi: 10.1209/0295-5075/95/17009
5. Bechouche, P., Mauser, N., Poupaud, F.: Semi-(non)relativistic limits of the Dirac equation with external time-dependent electromagnetic fields. Commun. Math Phys. 197, 405–425 (1998)
Cited by 14 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. 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
2. Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials;Journal of Computational and Applied Mathematics;2022-10
3. Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials;Multiscale Modeling & Simulation;2022-09-27
4. A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials;Numerical Algorithms;2022-07-11
5. Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials;Applied Numerical Mathematics;2022-02
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