Interpolation predictors over implicitly defined curves

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4 Citations (Scopus)


The aim of this paper is to present some higher-order predictors methods for the numerical tracing of implicitly defined curves. Two higher-order predictors are described based upon the Newton and Hermite interpolation polynomials 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 polynomial.

Original languageEnglish
Pages (from-to)1067-1076
Number of pages10
JournalComputers and Mathematics with Applications
Issue number8-9
Publication statusPublished - Oct 2002


  • Gaussian quadrature
  • Higher-order predictor
  • Implicitly defined curve
  • Interpolating polynomial
  • Line integral

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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