BibTeX
@INCOLLECTION{
         Carle1996IDP,
       author = "Alan Carle and Mike Fagan",
       editor = "Martin Berz and Christian Bischof and George Corliss and Andreas Griewank",
       title = "Improving Derivative Performance for {CFD} by Using Simplified Recurrences",
       booktitle = "Computational Differentiation: Techniques, Applications, and Tools",
       pages = "343--351",
       publisher = "SIAM",
       address = "Philadelphia, PA",
       key = "Carle1996IDP",
       crossref = "Berz1996CDT",
       abstract = "Many scientific programs generate solutions to partial differential equations by
         using an iterative process to reduce a residual quantity. Straightforward differentiation of these
         programs yields an iterative recurrence that involves both the derivative of the residual, and the
         derivative of the original process. For a certain class of these problems, the derivative recurrence
         can be {\em simplified\/} to avoid computing the derivative of the original process. A
         program implementing a simplified recurrence should run faster than its fully differentiated
         counterpart, since it avoids the redundant computation. In this paper we demonstrate a method for
         using automatic differentiation tools to facilitate the production of simplified derivative
         recurrence programs. We illustrate our technique by constructing and validating a simplified
         derivative version of the OVERFLOW computational fluid dynamics program using the ADIFOR automatic
         differentiation tool.",
       keywords = "Simplified recurrence, incremental iterative, CFD, OVERFLOW, ADIFOR.",
       ad_area = "Computational Fluid Dynamics",
       ad_tools = "ADIFOR",
       ad_theotech = "Fixpoint",
       year = "1996"
}