Energy-preserving Runge-Kutta methods
Department of Mathematical Sciences, NTNU, 7491 Trondheim, Norway.
2 Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand. email@example.com
3 Mathematics Department, La Trobe University, VIC 3086, Australia.
We show that while Runge-Kutta methods cannot preserve polynomial invariants in general, they can preserve polynomials that are the energy invariant of canonical Hamiltonian systems.
Mathematics Subject Classification: 65P10 / 65L06
Key words: B-series / Hamiltonian systems / energy-preserving integrators / Runge-Kutta methods.
© EDP Sciences, SMAI, 2009