Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of second order

Conference contribution


Publication Details

Author(s): Papadopoulos DF, Kosmas O, Simos TE
Title edited volumes: AIP Conference Proceedings
Publisher: American Institute of Physics
Publication year: 2012
Volume: 1479
Conference Proceedings Title: AIP Conference Proceedings,
Pages range: 1407-1410
ISSN: 0094-243X
eISSN: 1551-7616


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.



FAU Authors / FAU Editors

Kosmas, Odysseas Dr.
Chair of Applied Dynamics


External institutions with authors

University of Patras (UPATRAS)
University of Peloponnese


How to cite

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.

BibTeX: 

Last updated on 2019-16-07 at 15:34