On a Hermite Integrator with Ahmad-Cohen Scheme for Gravitational Many-Body Problems
On a Hermite Integrator with Ahmad-Cohen Scheme for Gravitational Many-Body Problems
复制标题
基于 Ahmad-Cohen 方案的 Hermite 积分器解决引力多体问题
DOI：
--
复制
发表时间：
1992
期刊：
影响因子：
--
通讯作者：
S. Aarseth
中科院分区：
文献类型：
--
作者：
J. Makino;S. Aarseth
描述了基于四阶Hermite积分器的ahmed - cohen方案的实现。采用四阶Hermite格式解析计算力和力的时间导数，并利用两个时间点构造三阶插值多项式。与目前广泛使用的标准方案相比，该方案允许在相同精度下使用更长的步长，且程序更简单
The implementation of the Ahmad-Cohen scheme based on a fourth-order Hermite integrator is described. With the fourth-order Hermite scheme, the force and the time derivative of the force are calculated analytically, and a third-order interpolation polynomial is constructed using two point in time. Compared with the standard scheme which is widely used, it allows a longer stepsize for the same accuracy, and the program is much simpler