Year: 2003
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 135–144
Abstract
We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sense and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8876
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 135–144
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Variational integrator Symplectic mapping.