Year: 2003
Author: Lang-Yang Huang, Wen-Ping Zeng, Meng-Zhao Qin
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 703–714
Abstract
The Hamiltonian formulations of the linear "good" Boussinesq (L.G.B.) equationn and the multi-symplectic formulation of the nonlinear "good" Boussinesq (N.G.B.) equation are considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissmann integrator is derived. We also present numerical experiments, which show that the symplectic and multi-symplectic schemes have excellent long-time numerical behavior.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8891
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 6 : pp. 703–714
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear "good" Boussinesq equation Multi-symplectic Preissmann integrator Conservation law.