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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Preserving first integrals with symmetric Lie group methods

Pages: 977 - 990, Volume 34, Issue 3, March 2014      doi:10.3934/dcds.2014.34.977

 
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Elena Celledoni - Norwegian University of Science and Technology, Department of Mathematical Sciences, 7491, Trondheim, Norway (email)
Brynjulf Owren - Norwegian University of Science and Technology, Department of Mathematical Sciences, 7491, Trondheim, Norway (email)

Abstract: The discrete gradient approach is generalized to yield first integral preserving methods for differential equations in Lie groups.

Keywords:  Numerical ordinary differential equations, preservation of first integrals, Lie group methods.
Mathematics Subject Classification:  Primary: 65L05, 65P10; Secondary: 22E70.

Received: January 2013;      Revised: May 2013;      Available Online: August 2013.

 References