A note on a diagonally implicit Runge-Kutta-Nyström method
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摘要
It is shown that it is possible to obtain fourth-order accurate diagonally implicit Runge-Kutta-Nyström methods with only 2 stages. The scheme with the largest interval of periodicity, i.e. (0, 12), is given. Furthermore, the requirement of P-stability decreases the order to 2.
论文关键词：Numerical analysis,ordinary differential equations of second-order,diagonally implicit Runge-Kutta-Nyström methods,interval of periodicity
论文评审过程：Received 9 March 1987, Available online 10 July 2002.
论文官网地址：https://doi.org/10.1016/0377-0427(87)90208-1
