论文标题
runge-kutta-nyström同骨分裂方法8
Runge-Kutta-Nyström symplectic splitting methods of order 8
论文作者
论文摘要
runge-kutta-nyström（RKN）的不同家族为普通微分方程的二阶系统提供了订单8的符号分裂方法，并在数值示例上进行了测试。它们显示出比2阶对称方案的最先进的对称组合物以及中等至高准确性的订单4和6的RKN分裂方法的效率更好。对于某些特定的示例，它们比外推方法在相对较短的时间间隔内更有效。
Different families of Runge-Kutta-Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better efficiency than state-of-the-art symmetric compositions of 2nd-order symmetric schemes and RKN splitting methods of orders 4 and 6 for medium to high accuracy. For some particular examples, they are even more efficient than extrapolation methods for high accuracies and integrations over relatively short time intervals.
