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EnglishThe 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.
| Titolo: | Construction of nearly conservative multivalue numerical methods for Hamiltonian problems | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| 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. | |
| Handle: | http://hdl.handle.net/11386/3988052 | |
| Appare nelle tipologie: | 1.1 Articoli su Rivista |
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