Symmetric partitioned linear multistep methods with no common root besides 1 keep the Hamiltonian error bounded over long times for nonseparable systems such as a double pendulum.
Blanes, Symplectic maps for approximating polynomial Hamiltonian systems , Phys
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Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
Symmetric partitioned linear multistep methods with no common root besides 1 keep the Hamiltonian error bounded over long times for nonseparable systems such as a double pendulum.