Symbolic derivation of Runge–Kutta–Nyström order conditions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Chemistry
Link
http://link.springer.com/content/pdf/10.1007/s10910-009-9560-2.pdf
Reference25 articles.
1. Albrecht P.: Numerical treatment of O.D.E.s: the theory of A-methods. Numer. Math. 47, 59–87 (1985)
2. Butcher J.C.: The Numerical Analysis of Ordinary Differential Equations. Wiley, Chichester (1987)
3. Calvo M.P., Sanz-Serna J.M.: Order conditions for canonical Runge-Kutta-Nyström methods. BIT 32, 131–142 (1992)
4. Calvo M.P., Sanz-Serna J.M.: High order symplectic Runge-Kutta-Nyström methods. SIAM J. Sci. Comput. 14, 1237–1252 (1993)
5. Coleman J.P.: Order conditions for a class of two-step methods for y′′ = f(x, y). IMA J. Numer. Anal. 23, 197–220 (2003)
Cited by 43 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 explicit ninth‐order, two‐step methods addressing y″=f(x,y);Mathematical Methods in the Applied Sciences;2024-09-09
2. Explicit Runge–Kutta–Nyström methods for the numerical solution of second order linear inhomogeneous IVPs;Journal of Computational and Applied Mathematics;2024-03
3. Nine-Stage Runge–Kutta–Nyström Pairs Sharing Orders Eight and Six;Mathematics;2024-01-18
4. Eighth order, Numerov-like schemes with coefficients tailored for superior performance on ODE systems with oscillatory solutions;AIMS Mathematics;2024
5. A novel class of Runge-Kutta-Nystrom pairs sharing orders 8(6).;AIMS MATH;2024
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