论文标题
哈密顿系统和变分集成商的中点嵌入
Mid-point embedding of Hamiltonian systems and variational integrators
论文作者
论文摘要
在离散嵌入形式主义之后，我们通过定义了一个适应的订单两个离散的差分和积分计算，从而给出了由J.M. Wendlandt和J.E. Marsden开发的中点变分积分器的新推导。这使我们能够在离散和连续情况之间获得更清晰的对应关系。我们还讨论了离散的哈密顿系统的相应定义。提供了与J.M. Wendlandt和J.E. Marsden的结果进行完整的比较。
Following the discrete embedding formalism, we give a new derivation of the mid-point variational integrators as developed by J.M. Wendlandt and J.E. Marsden by defining an adapted order two discrete differential and integral calculus. This allows us to obtain a clearer correspondence between the discrete and continuous case. We also discuss the corresponding definition of a discrete Hamiltonian system. A complete comparaison with the results of J.M. Wendlandt and J.E. Marsden is provided.
