doi: 10.1685/journal.caim.403

On the G-symplecticity of two-step Runge-Kutta methods

Raffaele D'Ambrosio


This paper investigates the conservative behaviour of two-step Runge-Kutta (TSRK) methods for the numerical integration of Hamiltonian systems. In particular, the attention is focused on the existence of G-symplectic TSRK methods, according to the definition provided in Butcher's 2008 monograph.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909