We introduce a class of methods of order two that exactly preserve the Hamiltonian function of separable Hamiltonian systems, in the case where such function is a polynomial. Although each method is a symmetric Runge--Kutta formula involving a number of internal stages, the computational cost is comparable to that of the trapezoidal method. Some numerical results are also presented.

s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type

IAVERNARO, Felice;
2007-01-01

Abstract

We introduce a class of methods of order two that exactly preserve the Hamiltonian function of separable Hamiltonian systems, in the case where such function is a polynomial. Although each method is a symmetric Runge--Kutta formula involving a number of internal stages, the computational cost is comparable to that of the trapezoidal method. Some numerical results are also presented.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/13134
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 61
  • ???jsp.display-item.citation.isi??? 55
social impact