Multi-step Runge-Kutta-Nyström methods for special second-order initial value problems

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• 作者：Jiyong Li ; ^{ljyong406@163.com} ; Xianfen Wang ^{xianfen00@163.com}
• 关键词：Multi-step Runge&ndash ; Kutta&ndash ; Nystr&ouml ; m methods ; Order conditions ; Special Nystr&ouml ; m-series ; Explicit methods ; Special second-order initial value problems
• 刊名：Applied Numerical Mathematics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：113
• 期：Complete
• 页码：54-70
• 全文大小：407 K
• 卷排序：113

文摘

A class of multi-step Runge–Kutta–Nyström methods are proposed. General order conditions are derived by using the theory of the SN-series. Some examples of explicit methods with FSAL property are given. Numerical results show the efficiency of our new methods.