Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Runge-Kutta collocation methods for rigid body Lie-Poisson equations
Date
1996-01-01
Author
Ergenc, T
Karasözen, Bülent
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
65
views
0
downloads
Cite This
The rigid body Lie-Poisson structure in three dimensions is considered. We show that the symplectic collocation type Runge-Kutta methods preserve the one-form of the underlying system. The linear error growth, energy and momentum conservation properties of the numerical solutions are discussed for Euler top equation.
Subject Keywords
Runge-Kutta methods
,
Euler top
,
One-forms
,
Lie-Poisson system
URI
https://hdl.handle.net/11511/31880
Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
DOI
https://doi.org/10.1080/00207169608804525
Collections
Graduate School of Applied Mathematics, Article
Suggestions
OpenMETU
Core
Analysis of koch fractal antennas
İrgin, Ümit; Birand, Mehmet Tuncay; Department of Electrical and Electronics Engineering (2009)
Fractal is a recursively-generated object describing a family of complex shapes that possess an inherent self-similarity in their geometrical structure. When used in antenna engineering, fractal geometries provide multi-band characteristics and lowering resonance frequencies by enhancing the space filling property. Moreover, utilizing fractal arrays, controlling side lobe-levels and radiation patterns can be realized. In this thesis, the performance of Koch curve as antenna is investigated. Since fractals a...
Poisson integrators for Volterra lattice equations
Ergenc, T; Karasözen, Bülent (2006-06-01)
The Volterra lattice equations are completely integrable and possess bi-Hamiltonian structure. They are integrated using partitioned Lobatto IIIA-B methods which preserve the Poisson structure. Modified equations are derived for the symplectic Euler and second order Lobatto IIIA-B method. Numerical results confirm preservation of the corresponding Hamiltonians, Casimirs, quadratic and cubic integrals in the long-term with different orders of accuracy. (c) 2005 IMACS. Published by Elsevier B.V. All rights re...
Dynamic modeling of structural joints
Tol, Şerife; Özgüven, Hasan Nevzat; Department of Mechanical Engineering (2012)
Complex systems composed of many substructures include various structural joints connecting the substructures together. These mechanical connections play a significant role in predicting the dynamic characteristics of the assembled systems accurately. Therefore, equivalent dynamic models of joints that consist of stiffness and damping elements should be developed and the joint parameters should be determined for an accurate vibration analysis. Since it is difficult to estimate joint parameters accurately by...
Generalized coutte flow of herschel-bulkley fluid through eccentric annulus-an approximate solution
Seyidoğlu, Tijen; Tosun, İsmail; Department of Chemical Engineering (2006)
Generalized Couette flow of a Herschel-Bulkley fluid in an eccentric annulus is analyzed by approximating the flow geometry as a slit of variable height. Besides an imposed pressure gradient, one of the plates is considered non-stationary to take into account the axial and/or angular motion of the inner pipe in an eccentric annulus system. Depending on the magnitude and the direction of the applied pressure gradient with respect to the plate velocity, three separate flow cases are studied in which the veloc...
KALUZA-KLEIN REDUCTION OF GENERALIZED THEORIES OF GRAVITY AND NONMINIMAL GAUGE COUPLINGS
DERELI, TEKİN; Üçoluk, Göktürk (IOP Publishing, 1990-07-01)
The Kaluza-Klein reduction of a generalised theory of gravity in D=5 dimensions is given. The form of the interactions among the gravitational, electromagnetic and massless scalar fields in four dimensional spacetime is exhibited.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
T. Ergenc and B. Karasözen, “Runge-Kutta collocation methods for rigid body Lie-Poisson equations,”
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
, pp. 63–71, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31880.