s‐stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
s‐stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
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DOI：
10.1063/1.2790219
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发表时间：
2007-09
期刊：
影响因子：
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通讯作者：
F. Iavernaro;B. Pace
中科院分区：
文献类型：
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作者：
F. Iavernaro;B. Pace
在可分哈密顿系统的哈密顿函数是多项式的情况下，我们引入了一类精确保持哈密顿函数的二阶方法。虽然每种方法都是一个对称的Runge-Kutta公式，涉及多个内部阶段，但计算成本与梯形方法相当。文中还给出了一些数值结果。
We introduce a class of methods of order two that exactly preserve the Hamiltonian function of separable Hamiltonian systems, in the case where such function is a polynomial. Although each method is a symmetric Runge‐Kutta formula involving a number of internal stages, the computational cost is comparable to that of the trapezoidal method. Some numerical results are also presented.