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. 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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.