Volume 43, Number 4, July-August 2009Special issue on Numerical ODEs today
|Page(s)||645 - 649|
|Published online||08 July 2009|
Energy-preserving Runge-Kutta methods
Department of Mathematical Sciences, NTNU, 7491 Trondheim, Norway.
2 Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand. firstname.lastname@example.org
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
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