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Runge-Kutta collocation methods for rigid body Lie-Poisson equations
Date
1996-01-01
Author
Ergenc, T
Karasözen, Bülent
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
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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.