Cubic spline interpolation predictors over implicitly defined curves

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15 Citations (Scopus)

Abstract

The aim of this paper is to present a higher order predictor method for the numerical tracing of implicitly defined curves. This higher order predictor is described based upon the clamped cubic spline interpolation function using previously computed points on the curve to compute the coefficients via divided differences. Some applications are made to the numerical integration of closed implicitly defined curves. The line integral is approximated via a Gauss-Legendre quadrature of the interpolating function.

Original languageEnglish
Pages (from-to)283-295
Number of pages13
JournalJournal of Computational and Applied Mathematics
Volume157
Issue number2
DOIs
Publication statusPublished - Aug 15 2003

Keywords

  • Clamped cubic spline
  • Gaussian quadrature
  • Higher order predictor
  • Implicitly defined curve
  • Line integral

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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