Abstract

Recently, a whole class of evergy-preserving integrators has been derived for the numerical solution of Hamiltonian problems. In the mainstream of this research, we have defined a new family of symplectic integrators depending on a real parameter α. For α = 0, the corresponding method in the family becomes the classical Gauss collocation formula of order 2s, where s denotes the number of the internal stages. For any given non-null α, the corresponding method remains symplectic and has order 2s − 2: hence it may be interpreted as a O(h 2s−2 ) (symplectic) perturbation of the Gauss method. Under suitable assumptions, it can be shown that the parameter α may be properly tuned, at each step of the integration procedure, so as to guarantee energy conservation in the numerical solution. The resulting method shares the same order 2s as the generating Gauss formula, and is able to preserve both energy and quadratic invariants.

Autore Pugliese

• Iavernaro Felice

Tutti gli autori

• IAVERNARO F.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2010

ISSN

0094-243X

ISBN

978-0-7354-0834-0

Numero di citazioni Wos

8

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

6

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile