Symplectic Integration with Processing: A General Study
Symplectic Integration with Processing: A General Study
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DOI：
10.1137/s1064827598332497
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发表时间：
1999-09
期刊：
影响因子：
--
通讯作者：
S. Blanes;F. Casas;J. Ros
中科院分区：
文献类型：
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作者：
S. Blanes;F. Casas;J. Ros
对于H={\cal A}+{\cal B}$形式的哈密顿量，由ePe-hKe-P给出的带处理的辛积分器中的算子K和P所满足的条件数是确定的。$K$的条件被明确地写到六阶，并用于获得比其他辛积分器更有效的方法，每步评估更少。还研究了内核的条件数量急剧减少的特殊情况。它表明，核完全决定了最佳的方法，可以通过处理获得。
The number of conditions to be satisfied by the operators K and P in symplectic integrators with processing, given by ePe-hKe-P, is determined for a Hamiltonian of the form $H={\cal A}+{\cal B}$. The conditions for $K$ are explicitly written up to order six and used to obtain more efficient methods with fewer evaluations per step than other symplectic integrators. Special cases in which the number of conditions for the kernel is drastically reduced are also studied. It is shown that the kernel completely determines the optimal method one can obtain by processing.