Two high-order energy-preserving and symmetric Gauss collocation integrators for solving the hyperbolic Hamiltonian systems

Changying Liu, Jiayin Li, Zhenqi Yang, Yumeng Tang and Kai Liu

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 205, issue C, 19-32

Abstract: In this paper, we first derive the energy-preserving collocation integrator for solving the hyperbolic Hamiltonian systems. Then, two concrete high-order energy-preserving and symmetric integrators are presented by choosing the collocation nodes as two and three Gauss–Legendre points, respectively. The convergence and the symmetry of the constructed energy-preserving integrators are rigorously analysed. Numerical results verify the energy conservation property and the accuracy of the proposed integrators.

Keywords: Hyperbolic Hamiltonian system; Energy preservation; Gauss collocation integrator; Continuous-stage Runge–Kutta–Nyström methods (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:205:y:2023:i:c:p:19-32

DOI: 10.1016/j.matcom.2022.09.016

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