BibTeX
@INCOLLECTION{
Corliss1988AoD,
AUTHOR = "George F. Corliss",
TITLE = "Applications of Differentiation Arithmetic",
BOOKTITLE = "Reliability in Computing",
PUBLISHER = "Academic Press",
EDITOR = "Ramon E. Moore",
ADDRESS = "London",
YEAR = "1988",
PAGES = "127--148",
REFERRED = "[Rall1996AIt].",
ISBN = "0--12--505630--3",
COMMENT = "Summary of the work performed by the author in the field of differentiation
arithmetic.",
KEYWORDS = "point algorithms; interval algorithms; differentiation arithmetic; preprocessor;
quadrature; Taylor series.",
ABSTRACT = "This is a discussion of various issues involved in differentiation arithmetic. The
use in both point and interval algorithms is discussed. Differentiation arithmetic is implemented
using the recursion relations for Taylor coefficients, or by using a parser to create a Fortran
subroutine which evaluates the derivatives using differentiation arithmetic. Applications to
quadrature and to Taylor series solutions of ordinary differential equations is discussed."
}
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