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In this short note we use the idea of R.Duran [5] and introduce a new low-order triangular element by replacing the nonconforming linear element for the rotation in [2] with the conforming linear elem...
A Note on Symplecticity of Step-Transition Mappings for Multi-Step Methods
Linear multi-step method Infinitesimally symplectic Symplecticity General linear method
2012/8/1
We prove that for a linear multi-step methodm
k=0kZk =m
k=0kf (Zk), even though the mappings Z0 → Z1, . . . , Zm−2 →
Zm−1 are chosen to be symplectic, Zm−1 → Zm will be non-s...