BibTeX
@INCOLLECTION{
         Bischof2002ACS,
       author = "Christian H. Bischof and H. Martin B{\"u}cker and an Mey, Dieter",
       title = "A Case Study of Computational Differentiation Applied to Neutron Scattering",
       pages = "69--74",
       chapter = "6",
       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 = "In a neutron scattering application, an unconstrained nonlinear minimization
         problem is used for the fitting of model parameters to experimental data. Automatic differentiation
         enables, in a completely mechanical fashion, algorithmic changes by switching from a quasi-Newton
         method, where first order derivatives are approximated by finite differences, to a modified
         Gauss--Newton method using exact first order derivatives. Compared to the original code, the code
         generated by this black box approach produces reliable results rather than results of dubious
         quality. This approach also is faster in terms of execution time. Its performance is improved
         further by replacing the most time-consuming subroutine involved in the derivative evaluation by a
         surprisingly simple, hand-coded implementation of the corresponding analytic expression.",
       referred = "[Klein2002DMf].",
       ad_area = "Chemistry",
       ad_tools = "ADIFOR",
       ad_theotech = "Integration of Analytic Derivatives"
}