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J Chem Phys
; 132(20): 204107, 2010 May 28.
Article
in English
| MEDLINE
| ID: mdl-20515088
ABSTRACT
Classical open and closed Newton-Cotes differential methods possessing the characteristics of multilayer symplectic structures have been constructed in the past. In this paper, we study the exponentially fitted open Newton-Cotes differential methods of order two, four, and six. It is shown that these integrators, just as their classical counterparts, preserve the volume in the phase space of a Hamiltonian system. They can be converted into a multilayer symplectic structure so that volume-preserving integrators of a Hamiltonian system are obtained. A numerical example has been carried out to show the effectiveness of the present differential method.
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Arch Int Physiol Biochim
; 83(5): 1010-1, 1975 Dec.
Article
in English
| MEDLINE
| ID: mdl-58593