Construction of explicit symmetric and symplectic methods of Runge–Kutta–Nyström type for solving perturbed oscillators
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference33 articles.
1. Mathematical Methods of Classical Mechanics;Arnold,1989
2. A new family of Runge–Kutta type methods for the numerical integration of perturbed oscillators;González;Numer. Math.,1999
3. Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators;Franco;Comput. Phys. Commun.,2002
4. A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators;Franco;J. Comput. Appl. Math.,2003
5. Increasing the accuracy in the numerical integration of perturbed oscillators with new methods;González;Appl. Numer. Math.,2002
Cited by 5 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. Even Order Explicit Symplectic Geometric Algorithms for Solving Quaternions in Guidance Navigation and Control via Diagonal Padé Approximation and Cayley Transform;IEEE Access;2024
2. Explicit symplectic geometric algorithms for quaternion kinematical differential equation;IEEE/CAA Journal of Automatica Sinica;2018-03
3. The Construction of Arbitrary Order ERKN Integrators via Group Theory;Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations;2018
4. The construction of arbitrary order ERKN methods based on group theory for solving oscillatory Hamiltonian systems with applications;Journal of Computational Physics;2016-10
5. An eight-step semi-embedded predictor–corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown;Journal of Computational and Applied Mathematics;2015-12
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