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

Raffaele D'Ambrosio

Abstract


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.



DOI: http://dx.doi.org/10.1685%2F

Communications in Applied and Industrial Mathematics
ISSN: 2038-0909



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