Year: 2019
Author: Jing An, Waixiang Cao, Zhimin Zhang
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1249–1273
Abstract
In this paper, an efficient spectral Petrov-Galerkin time-stepping method for solving nonlinear Hamiltonian systems is presented and studied. Conservation properties of the proposed method (including symplectic structure preserving and energy conservation) are discussed. Iterative algorithm on how to discretize the nonlinear term is introduced and the uniqueness, stability and convergence properties of the iterative algorithm are also established. Finally, numerical experiments are presented to verify the efficiency of our algorithm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.2019.js60.11
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1249–1273
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Nonlinear Hamiltonian system spectral Petrov-Galerkin method iterative algorithm energy conservation symplectic structure.