Splitting methods and approximation of invariants in time-dependent Hamiltonian systems (Rapporti tecnici, manuali, carte geologiche e tematiche e prodotti multimediali)

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Label
  • Splitting methods and approximation of invariants in time-dependent Hamiltonian systems (Rapporti tecnici, manuali, carte geologiche e tematiche e prodotti multimediali) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Alternative label
  • F. Diele, C. Marangi, S. Ragni (2009)
    Splitting methods and approximation of invariants in time-dependent Hamiltonian systems
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • F. Diele, C. Marangi, S. Ragni (literal)
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  • Una versione riveduta del lavoro è apparsa nel 2010 in Applied Mathematics and Computation, Vol. 217 (6), 2798-2807 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 176 (7/2009) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • IAC report N.176 (7/2009) (literal)
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  • Memorie interne (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Stefania Ragni, Università di Bari (literal)
Titolo
  • Splitting methods and approximation of invariants in time-dependent Hamiltonian systems (literal)
Abstract
  • Most physical systems 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 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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