Publication: Index Determination in DAEs Using the Library indexdet and the ADOL-C Package for Algorithmic Differentiation
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Index Determination in DAEs Using the Library indexdet and the ADOL-C Package for Algorithmic Differentiation

- incollection -
 

Area
Differential-Algebraic Equation

Author(s)
Dagmar Monett , René Lamour , Andreas Griewank

Published in
Advances in Automatic Differentiation

Editor(s)
Christian H. Bischof, H. Martin Bücker, Paul D. Hovland, Uwe Naumann, J. Utke

Year
2008

Publisher
Springer

Abstract
We deal with differential algebraic equations (DAEs) with properly stated leading terms. The calculation of the index of these systems is based on a matrix sequence with suitably chosen projectors. A new algorithm based on matrices of Taylor polynomials for realizing the matrix sequence and computing the index is introduced. Derivatives are computed using algorithmic differentiation tools.

Cross-References
Bischof2008AiA

AD Tools
ADOL-C

BibTeX
@INCOLLECTION{
         Monett2008IDi,
       author = "Dagmar Monett and Ren{\'e} Lamour and Andreas Griewank",
       title = "Index Determination in {DAE}s Using the Library indexdet and the {ADOL-C} Package for
         Algorithmic Differentiation",
       doi = "10.1007/978-3-540-68942-3_22",
       pages = "247--257",
       abstract = "We deal with differential algebraic equations (DAEs) with properly stated leading
         terms. The calculation of the index of these systems is based on a matrix sequence with suitably
         chosen projectors. A new algorithm based on matrices of Taylor polynomials for realizing the matrix
         sequence and computing the index is introduced. Derivatives are computed using algorithmic
         differentiation tools.",
       crossref = "Bischof2008AiA",
       booktitle = "Advances in Automatic Differentiation",
       publisher = "Springer",
       editor = "Christian H. Bischof and H. Martin B{\"u}cker and Paul D. Hovland and Uwe
         Naumann and J. Utke",
       isbn = "978-3-540-68935-5",
       issn = "1439-7358",
       year = "2008",
       ad_area = "Differential-Algebraic Equation",
       ad_tools = "ADOL-C"
}


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