High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods

Wensheng Tang, Yajuan Sun and Jingjing Zhang

Applied Mathematics and Computation, 2019, vol. 361, issue C, 670-679

Abstract: On the basis of the previous work by Tang and Zhang [37], in this paper we present a more effective way to construct high-order symplectic integrators for solving second order Hamiltonian equations. Instead of analyzing order conditions step by step as shown in the previous work, the new technique of this paper is using Legendre expansions to deal with the simplifying assumptions for order conditions. With the new technique, high-order symplectic integrators can be conveniently devised by truncating an orthogonal series.

Keywords: Continuous-stage Runge-Kutta-Nyström methods; Hamiltonian systems; Symplectic integrators; Legendre polynomial expansion; Simplifying assumptions (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:670-679

DOI: 10.1016/j.amc.2019.06.031

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