Cubic spline interpolation predictors over implicitly defined curves

Authors:
Muhammed I. Syam
Affiliations:
Department of Mathematics and Computer Science, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab Emirates
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 3
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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 curve. The line integral is approximated via a Gauss-Legendre quadrature of the interpolating function.