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I am wondering, if anybody knows some paper, that study convergence and stability of Partitioned Rung-Kutta Methods (especially Lobatto IIIAB) applied on separable Hamiltonian system.

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Google says:

Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems by L Abia - 1993 - Cited by 30 - Related articles PARTITIONED RUNGE-KUTTA METHODS. 619. Hamiltonian problems if, for all Hamiltonian functions H in this class, and at each point (po, qo) in the domain of ... www.jstor.org/stable/2153105

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