SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems (Articolo in rivista)

Type
Label
  • SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.amc.2010.08.014 (literal)
Alternative label
  • Diele Fasma; Marangi Carmela; Ragni Stefania (2010)
    SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems
    in Applied mathematics and computation
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Diele Fasma; Marangi Carmela; Ragni Stefania (literal)
Pagina inizio
  • 2798 (literal)
Pagina fine
  • 2807 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0096300310008684 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 217 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 6 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Fasma Diele, Istituto per le Applicazioni del Calcolo M. Picone,CNR, Via Amendola 122, 70126 Bari, Italy; Carmela Marangi, Istituto per le Applicazioni del Calcolo M. Picone,CNR, Via Amendola 122, 70126 Bari, Italy; Stefania Ragni, Facolt√† di Economia, Universit√† di Bari, Via Camillo Rosalba 56, 70100 Bari, Italy (literal)
Titolo
  • SB3A splitting for approximation of invariants in time-dependent Hamiltonian systems (literal)
Abstract
  • Most physical phenomena are described by time-dependent Hamiltonian systems with qualitative features that should be preserved by numerical integrators used for approximating their dynamics. The initial energy of the system together with the energy added or subtracted by the outside forces, represent a conserved quantity of the motion. For a class of time-dependent Hamiltonian systems [8] this invariant can be defined by means of an auxiliary function whose dynamics has to be integrated simultaneously with the system's equations. We propose splitting procedures featured by a SB3A property that allows to construct composition methods with a reduced number of determining order equations and to provide the same high accuracy for both the dynamics and the preservation of the invariant quantity. (literal)
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