Symplectic Computation of Hamiltonian Systems (I)

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Abstract

We get $τ^6$-terms of the formal energy of the mid-point rule, and use the mathematical pendulum to test the convergence of the formal energy.

Keywords:

Mid-point rule Formal energy.
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Symplectic Computation of Hamiltonian Systems (I). (2002). Journal of Computational Mathematics, 20(3), 267-276. https://www.global-sci.com/index.php/JCM/article/view/11490