The purpose of this paper is the derivation of multivalue numerical methods for Hamiltonian problems. It is known from the literature that such methods cannot be symplectic; however, they can satisfy an alternative property, known as G-symplecticity, which still allows a long time conservation of the Hamiltonian of the dynamical system under investigation. New G-symplectic methods are derived and compared with existing ones on a selection of Hamiltonian systems.
Construction of nearly conservative multivalue numerical methods for Hamiltonian problems
D'AMBROSIO, RAFFAELE;DE MARTINO, GIUSEPPE;PATERNOSTER, Beatrice
2012
Abstract
The purpose of this paper is the derivation of multivalue numerical methods for Hamiltonian problems. It is known from the literature that such methods cannot be symplectic; however, they can satisfy an alternative property, known as G-symplecticity, which still allows a long time conservation of the Hamiltonian of the dynamical system under investigation. New G-symplectic methods are derived and compared with existing ones on a selection of Hamiltonian systems.File in questo prodotto:
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