Publication: Bibliography on Interval Methods for the Solution of Ordinary Differential Equations
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Bibliography on Interval Methods for the Solution of Ordinary Differential Equations

- Technical report -
 

Author(s)
George F. Corliss , Paul H Davis , Gary S. Krenz

Institution
Department of Mathematics, Statistics and Computer Science, Marquette University

Year
1988

Abstract
This is a bibliography of literature judged by the authors to be relevant to interval mathods for the numerical solution of initial value problems in ordinary differential equations. It includes citations from the following topics:

  • Interval methods for initial value problems,
  • Interval methods for boundary value problems,
  • Point Taylor series methods,
  • Point defect correction methods,
  • Point methods based on Picard iteration,
  • Error estimation for stiff equations,
  • Global error estimation,
  • Differentiation arithmetic, and
  • Interval integration

BibTeX
@TECHREPORT{
         Corliss1988BoI,
       AUTHOR = "Corliss, George F. and Davis, Paul H and Krenz, Gary S.",
       TITLE = "Bibliography on Interval Methods for the Solution of Ordinary Differential Equations",
       TYPE = "Technical Report",
       NUMBER = "No. 289",
       INSTITUTION = "Department of Mathematics, Statistics and Computer Science, Marquette
         University",
       ADDRESS = "Milwaukee, Wisc.",
       MONTH = "September",
       YEAR = "1988",
       REFERRED = "[Davis1988Soa].",
       COMMENT = "Contains some intersection with this report. Extension of [Corl87c].",
       KEYWORDS = "bibliography.",
       ABSTRACT = "This is a bibliography of literature judged by the authors to be relevant to
         interval mathods for the numerical solution of initial value problems in ordinary differential
         equations. It includes citations from the following topics: \begin{itemize} \item Interval
         methods for initial value problems, \item Interval methods for boundary value problems,
         \item Point Taylor series methods, \item Point defect correction methods, \item Point
         methods based on Picard iteration, \item Error {\em estimation\/} for stiff
         equations, \item Global error {\em estimation,} \item Differentiation arithmetic, and
         \item Interval integration.\end{itemize}"
}


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