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Connections Between Power Series Methods and Automatic Differentiation-
incollection
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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
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Published in
Recent Advances in Algorithmic Differentiation
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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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