Publication: Second Order Exact Derivatives to Perform Optimization on Self-Consistent Integral Equations Problems
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Second Order Exact Derivatives to Perform Optimization on Self-Consistent Integral Equations Problems

- incollection -
 

Author(s)
Isabelle Charpentier , NoŽl Jakse , Fabrice Veersť

Published in
Automatic Differentiation of Algorithms: From Simulation to Optimization

Editor(s)
George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, Uwe Naumann

Year
2002

Publisher
Springer

Abstract
Great efforts have been made to search for enhanced semi-empirical forms of the bridge function b appearing in disordered condensed matter problems which are solved using the integral equation method. Currently, parameterized forms of the bridge function are manually chosen to fit as closely as possible the thermodynamic self-consistent equations depending on g and its derivatives. The paper discusses a second-order differentiation of the computer code that enables construction of parameterized bridge functions using optimal control techniques.

Cross-References
Corliss2002ADo

BibTeX
@INCOLLECTION{
         Charpentier2002SOE,
       author = "Isabelle Charpentier and No{\"e}l Jakse and Fabrice Veers{\'e}",
       title = "Second Order Exact Derivatives to Perform Optimization on Self-Consistent Integral
         Equations Problems",
       pages = "189--195",
       chapter = "22",
       crossref = "Corliss2002ADo",
       booktitle = "Automatic Differentiation of Algorithms: From Simulation to Optimization",
       year = "2002",
       editor = "George Corliss and Christ{\`e}le Faure and Andreas Griewank and Laurent
         Hasco{\"e}t and Uwe Naumann",
       series = "Computer and Information Science",
       publisher = "Springer",
       address = "New York, NY",
       abstract = "Great efforts have been made to search for enhanced semi-empirical forms of the
         bridge function $b$ appearing in disordered condensed matter problems which are solved using the
         integral equation method. Currently, parameterized forms of the bridge function are manually chosen
         to fit as closely as possible the thermodynamic self-consistent equations depending on $g$ and its
         derivatives. The paper discusses a second-order differentiation of the computer code that enables
         construction of parameterized bridge functions using optimal control techniques.",
       referred = "[Forth2002AOv], [Klein2002DMf]."
}


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