doi: 10.1685/journal.caim.403

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.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License

This work is licensed under a Creative Commons Attribution NonCommercial NoDerivs 3.0 License.

Communications in Applied and Industrial Mathematics
ISSN: 2038-0909