This paper investigates the conservative behaviour of two-step Runge-Kutta (TSRK) methods and multistep Runge-Kutta methods (MRK) for the numerical integration of Hamiltonian systems. In particular, the attention is focused on the existence of G-symplectic TSRK and MRK methods, according to the denition provided in Butcher's 2008 monograph.
On the G-symplecticity of two-step Runge-Kutta methods
D'AMBROSIO, RAFFAELE
2012-01-01
Abstract
This paper investigates the conservative behaviour of two-step Runge-Kutta (TSRK) methods and multistep Runge-Kutta methods (MRK) for the numerical integration of Hamiltonian systems. In particular, the attention is focused on the existence of G-symplectic TSRK and MRK methods, according to the denition provided in Butcher's 2008 monograph.File in questo prodotto:
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