A note on symplectic and symmetric ARKN methods

作者：Shi Wei; Wu Xinyuan^*

来源：Computer Physics Communications, 2013, 184(11): 2408-2411.

DOI：10.1016/j.cpc.2013.06.001

• Oscillatory separable Hamiltonian system
• ARKN integrators
• Symplecticity conditions

For dealing with the oscillatory separable Hamiltonian system of the form q"(t) + omega(2)q(t) = f (q(t)) with omega (> 0), the main frequency of the system, the symplecticity conditions of ARKN methods and the existence of symmetric ARKN methods are investigated by Shi et al. [W. Shi, X. Wu, Comput. Phys. Comm. 183 (2012) 1250]. However, the symplecticity conditions in that paper are not sufficient, one of the conditions should be made stronger to guarantee the symplecticity of the methods. For this reason, we will reanalyze and present more precisely the symplecticity conditions for the ARKN methods in this note.

• 出版日期2013-11
• 单位南京大学