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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 11/24/2014)