| Issue |
ESAIM: M2AN
Volume 43, Number 4, July-August 2009
Special issue on Numerical ODEs today
|
|
|---|---|---|
| Page(s) | 645 - 649 | |
| DOI | https://doi.org/10.1051/m2an/2009020 | |
| Published online | 08 July 2009 | |
Energy-preserving Runge-Kutta methods
1
Department of Mathematical Sciences, NTNU, 7491 Trondheim, Norway.
2
Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand. r.mclachlan@massey.ac.nz
3
Mathematics Department, La Trobe University, VIC 3086, Australia.
Received:
21
May
2008
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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