Skokos, Ch and Gerlach, E and Bodyfelt, JD and Papamikos, Georgios and Eggl, S (2014) High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schrödinger equation. Physics Letters A, 378 (26-27). pp. 1809-1815. DOI https://doi.org/10.1016/j.physleta.2014.04.050
Skokos, Ch and Gerlach, E and Bodyfelt, JD and Papamikos, Georgios and Eggl, S (2014) High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schrödinger equation. Physics Letters A, 378 (26-27). pp. 1809-1815. DOI https://doi.org/10.1016/j.physleta.2014.04.050
Skokos, Ch and Gerlach, E and Bodyfelt, JD and Papamikos, Georgios and Eggl, S (2014) High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schrödinger equation. Physics Letters A, 378 (26-27). pp. 1809-1815. DOI https://doi.org/10.1016/j.physleta.2014.04.050
Abstract
While symplectic integration methods based on operator splitting are well established in many branches of science, high order methods for Hamiltonian systems that split in more than two parts have not been studied in great detail. Here, we present several high order symplectic integrators for Hamiltonian systems that can be split in exactly three integrable parts. We apply these techniques, as a practical case, for the integration of the disordered, discrete nonlinear Schrödinger equation (DDNLS) and compare their efficiencies. Three part split algorithms provide effective means to numerically study the asymptotic behavior of wave packet spreading in the DDNLS – a hotly debated subject in current scientific literature.
Item Type: | Article |
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Additional Information: | 5 Figures, Physics Letters A (accepted) |
Uncontrolled Keywords: | Symplectic integrators; Three part split; Disorder; Nonlinear Schrodinger equation; Multidimensional Hamiltonian systems |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 25 Jan 2024 16:35 |
Last Modified: | 07 Aug 2024 18:26 |
URI: | http://repository.essex.ac.uk/id/eprint/28760 |
Available files
Filename: 1302.1788v4.pdf