Summary.
B-series provide a powerful general tool to express numerical methods for differential equations. Many differential equations are of Hamiltonian form and there has been much recent interest in constructing so-called canonical or symplectic integrators for the Hamiltonian case. In this paper we provide a necessary and sufficient condition for a B-series to correspond to a canonical method.
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Received March 15, 1993
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Calvo, M., Sanz-Serna, J. Canonical B-series. Numer. Math. 67, 161–175 (1994). https://doi.org/10.1007/s002110050022
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DOI: https://doi.org/10.1007/s002110050022