Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of second order
Papadopoulos DF, Kosmas O, Simos TE (2012)
Publication Type: Conference contribution
Publication year: 2012
Journal
Publisher: American Institute of Physics
Edited Volumes: AIP Conference Proceedings
Book Volume: 1479
Pages Range: 1407-1410
Conference Proceedings Title: AIP Conference Proceedings,
Event location: Kos
DOI: 10.1063/1.4756421
Abstract
In the present we investigate the advantages of the phase lag analysis for the derivation of phase-fitted techniques on several numerical schemes. Relying on the main characteristics of the phase lag we evaluate the parameters needed firstly for Runge-Kutta methods and secondly for high order variational integration methods, so that the phase lag and its derivatives are zero. The proposed methods are tested for the solution of initial value problems on ordinary differential equations of second order, like the Hénon-Heiles model. © 2012 American Institute of Physics.
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APA:
Papadopoulos, D.F., Kosmas, O., & Simos, T.E. (2012). Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of second order. In AIP Conference Proceedings, (pp. 1407-1410). Kos, GR: American Institute of Physics.
MLA:
Papadopoulos, Dim F, Odysseas Kosmas, and Theodoros E. Simos. "Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of second order." Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, Kos American Institute of Physics, 2012. 1407-1410.
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