Phase-fitted discrete Lagrangian integrators

Kosmas O, Vlachos DS (2010)


Publication Type: Journal article

Publication year: 2010

Journal

Publisher: Elsevier

Book Volume: 181

Pages Range: 562-568

Journal Issue: 3

DOI: 10.1016/j.cpc.2009.11.005

Abstract

Phase fitting has been extensively used during the last years to improve the behavior of numerical integrators on oscillatory problems. In this work, the benefits of the phase fitting technique are embedded in discrete Lagrangian integrators. The results show improved accuracy and total energy behavior in Hamiltonian systems. Numerical tests on the long term integration (105 periods) of the 2-body problem with eccentricity even up to 0.95 show the efficiency of the proposed approach. Finally, based on a geometrical evaluation of the frequency of the problem, a new technique for adaptive error control is presented. © 2009 Elsevier B.V. All rights reserved.

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APA:

Kosmas, O., & Vlachos, D.S. (2010). Phase-fitted discrete Lagrangian integrators. Computer Physics Communications, 181(3), 562-568. https://dx.doi.org/10.1016/j.cpc.2009.11.005

MLA:

Kosmas, Odysseas, and Dimitros S Vlachos. "Phase-fitted discrete Lagrangian integrators." Computer Physics Communications 181.3 (2010): 562-568.

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