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Authors:Klaus Röbenack: Technische Universität Dresden. Faculty of Electrical and Computer Engineering. Institute of Control Theory, Germany
Jan Winkler: Technische Universität Dresden. Faculty of Electrical and Computer Engineering. Institute of Control Theory, Germany
Siqian Wang: Technische Universität Dresden. Faculty of Electrical and Computer Engineering. Institute of Control Theory, Germany
Publication title:LIEDRIVERS— A Toolbox for the Efficient Computation of Lie Derivatives Based on the Object-Oriented Algorithmic Differentiation Package ADOL-C
Conference:Proceedings of the 4th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools, Zurich, Switzerland, September 5, 2011
Publication type: Abstract and Fulltext
Issue:056
Article No.:007
Abstract:Lie derivatives are widely used in mathematics and physics. They are usually computed symbolically using computer algebra software. This symbolic computation might fail for very complicated expressions. Moreover, symbolic differentiation becomesmore difficult if the function to be differentiated is not described explicitly as a function but by an algorithm. This is a situation occuring quite often in modeling languages. In this contribution we present an approach for calculating Lie derivatives based on algorithmic differentiation using the software package ADOL-C avoiding the drawbacks of symbolic differentiation.
Language:English
Keywords:Lie derivatives, algorithmic differentiation
Year:2011
No. of pages:10
Pages:57-66
ISBN:978-91-7519-825-5
Series:Linköping Electronic Conference Proceedings
ISSN (print):1650-3686
ISSN (online):1650-3740
File:http://www.ep.liu.se/ecp/056/007/ecp1105607.pdf
Available:2011-11-03
Publisher:Linköping University Electronic Press, Linköpings universitet

REFERENCE TO THIS PAGE
Klaus Röbenack, Jan Winkler, Siqian Wang (2011). LIEDRIVERS— A Toolbox for the Efficient Computation of Lie Derivatives Based on the Object-Oriented Algorithmic Differentiation Package ADOL-C, Proceedings of the 4th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools, Zurich, Switzerland, September 5, 2011 http://www.ep.liu.se/ecp_article/index.en.aspx?issue=056;article=007 (accessed 9/2/2014)