Publication: Connections Between Power Series Methods and Automatic Differentiation
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Connections Between Power Series Methods and Automatic Differentiation

- incollection -
 

Author(s)
David C. Carothers , Stephen K. Lucas , G. Edgar Parker , Joseph D. Rudmin , James S. Sochacki , Roger J. Thelwell , Anthony Tongen , Paul G. Warne

Published in
Recent Advances in Algorithmic Differentiation

Editor(s)
Shaun Forth, Paul Hovland, Eric Phipps, Jean Utke, Andrea Walther

Year
2012

Publisher
Springer

Abstract
There is a large overlap in the work of the Automatic Differentiation community and those whose use Power Series Methods. Automatic Differentiation is predominately applied to problems involving differentiation, and Power series began as a tool in the ODE setting. Three examples are presented to highlight this overlap, and several interesting results are presented.

Cross-References
Forth2012RAi

AD Theory and Techniques
General

BibTeX
@INCOLLECTION{
         Carothers2012CBP,
       title = "Connections Between Power Series Methods and Automatic Differentiation",
       doi = "10.1007/978-3-642-30023-3_16",
       author = "David C. Carothers and Stephen K. Lucas and G. Edgar Parker and Joseph D. Rudmin and
         James S. Sochacki and Roger J. Thelwell and Anthony Tongen and Paul G. Warne",
       abstract = "There is a large overlap in the work of the Automatic Differentiation community and
         those whose use Power Series Methods. Automatic Differentiation is predominately applied to problems
         involving differentiation, and Power series began as a tool in the ODE setting. Three examples are
         presented to highlight this overlap, and several interesting results are presented.",
       pages = "175--185",
       crossref = "Forth2012RAi",
       booktitle = "Recent Advances in Algorithmic Differentiation",
       series = "Lecture Notes in Computational Science and Engineering",
       publisher = "Springer",
       address = "Berlin",
       volume = "87",
       editor = "Shaun Forth and Paul Hovland and Eric Phipps and Jean Utke and Andrea Walther",
       isbn = "978-3-540-68935-5",
       issn = "1439-7358",
       year = "2012",
       ad_theotech = "General"
}


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