Year: 1990
Author: Kang Feng, Hua-Mo Wu, Meng-Zhao Qin
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 371–380
Abstract
In this paper, we present some results of a study, specifically within the framework of symplectic geometry, of difference schemes for numerical solution of the linear Hamiltonian systems. We generalize the Cayley transform with which we can get different types of symplectic schemes. These schemes are various generalizations of the Euler centered scheme. They preserve all the invariant first integrals of the linear Hamiltonian systems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JCM-9449
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 371–380
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10