Chin Siu A
Department of Physics, Texas A&M University, College Station, Texas 77843, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 2):037701. doi: 10.1103/PhysRevE.80.037701. Epub 2009 Sep 21.
By exploiting the error functions of explicit symplectic integrators for solving separable Hamiltonians, I show that it is possible to develop explicit time-reversible symplectic integrators for solving nonseparable Hamiltonians of the product form. The algorithms are unusual in that they are of fractional orders.
通过利用显式辛积分器的误差函数来求解可分离哈密顿量,我证明了有可能开发出显式时间可逆辛积分器来求解乘积形式的不可分离哈密顿量。这些算法的不同寻常之处在于它们是分数阶的。