SYMPLECTIC METHODS BASED ON DECOMPOSITIONS

Authors
ARAUJO AL MURUA A SANZSERNA JM
Citation
Al. Araujo et al., SYMPLECTIC METHODS BASED ON DECOMPOSITIONS, SIAM journal on numerical analysis, 34(5), 1997, pp. 1926-1947
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
34
Issue
5
Year of publication
1997
Pages
1926 - 1947
Database
ISI
SICI code
0036-1429(1997)34:5<1926:SMBOD>2.0.ZU;2-R
Abstract
We consider methods that integrate systems of differential equations d y/dt = f(y) by taking advantage of a decomposition of the right-hand s ide f = Sigma f([nu]). We derive a general necessary and sufficient co ndition for those methods to be symplectic for Hamiltonian problems. S pecial attention is given to the case of additive Runge-Kutta methods.