On order5symplectic explicit Runge-Kutta Nystr?m methods

Lin-YiChou; P. W.Sharp

首页> 外文期刊>Advances in decision sciences >On order5symplectic explicit Runge-Kutta Nystr?m methods

【24h】

On order5symplectic explicit Runge-Kutta Nystr?m methods

机译：关于阶5凸显式Runge-Kutta Nystr？m方法

获取原文

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Order five symplectic explicit Runge-Kutta Nystr?m methods offive stages are known to exist. However, these methods do not havefree parameters with which to minimise the principal errorcoefficients. By adding one derivative evaluation per step, to giveeither a six-stage non-FSAL family or a seven-stage FSAL family ofmethods, two free parameters become available for the minimisation.This raises the possibility of improving the efficiency of order fivemethods despite the extra cost of taking a step.We perform a minimisation of the two families to obtain an optimalmethod and then compare its numerical performance with publishedmethods of orders four to seven. These comparisons along with thosebased on the principal error coefficients show the new method issignificantly more efficient than the five-stage, order five methods.The numerical comparisons also suggest the new methods can be moreefficient than published methods of other orders.

机译：已知存在五阶辛的显式Runge-Kutta Nystr？m方法冒犯阶段。但是，这些方法没有可用的参数来最小化主要误差系数。通过在每个步骤中添加一个导数评估，以给出六级非FSAL方法族或七级FSAL方法方法族，可以使用两个自由参数来最小化这，尽管存在额外的缺点，但仍可能提高五阶方法的效率我们对两个族进行最小化以获得最优方法，然后将其数值性能与已发布的四到七阶方法进行比较。这些比较以及基于主误差系数的比较表明，该新方法比五阶段五阶方法明显更有效。数值比较还表明，该新方法可能比其他阶数的已发布方法更有效。

著录项

来源
《Advances in decision sciences》 |2000年第2期|共8页
作者
Lin-YiChou; P. W.Sharp;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类系统科学;
关键词

相似文献

外文文献
中文文献
专利

1. High order explicit Runge-Kutta Nystr?m pairs [J] . Sharp P.W., Qureshi M.A., Grazier K.R. Numerical algorithms . 2013,第1期

机译：高阶隐式Runge-Kutta Nystrom巴黎
2. Continuous Runge-Kutta(-Nystr?m) methods with reduced phase-errors [J] . G. Papageorgiou, Ch. Tsitouras Journal of Computational and Applied Mathematics . 1996,第1期

机译：具有减小相位误差的连续Runge-Kutta（-Nystr？m）方法
3. Continuous Runge-Kutta(-Nystr?m) methods with reduced phase-errors [J] . G. Papageorgiou, Ch. Tsitouras Journal of Computational and Applied Mathematics . 1996,第1期

机译：具有减小相位误差的连续Runge-Kutta（-Nystr？m）方法
4. Construction of an Explicit Runge-Kutta-Nystr?m Method with Constant Coefficients and of a Phase-fitted and Amplification-Fitted Explicit Runge-Kutta-Nystr?m Method for the Numerical Solution of the Schr?dinger Equation [C] . A.A. Kosti, Z.A. Anastassi, T.E. Simos ICCMSE 2009 . 2012

机译：具有恒定系数的显式跳动-Kutta-NYSTRαM方法，具有恒定系数和相位拟合拟合的显式跳动-Kutta-NYSTR-KUTTA-NYSTR-KUTTA-NYSTRαm方法，用于SCHR？Dinger方程的数值解
5. High-order implicit-explicit Runge-Kutta time integration schemes and time-consistent filtering in spectral methods. [D] . Kanevsky, Alex. 2006

机译：高阶隐式显式Runge-Kutta时间积分方案和频谱方法中的时间一致滤波。
6. Exponentially Fitted Two-Derivative Runge-Kutta Methods for Simulation of Oscillatory Genetic Regulatory Systems [O] . Zhaoxia Chen, Juan Li, Ruqiang Zhang, 2015

机译：振荡遗传调控系统的指数拟合二阶Runge-Kutta方法
7. On order 5 symplectic explicit Runge-Kutta Nyström methods [O] . Lin-Yi Chou, P. W. Sharp 2000

机译：订购5辛辛格式Runge-KuttaNyström方法

On order5symplectic explicit Runge-Kutta Nystr?m methods

摘要

著录项

相似文献

相关主题

期刊订阅