Interpolation by C1 Quartic Bivariate Splines

Abstract:

      We establish the interpolation schemes by the space of C¹ bivariate piece-wise quartic polynomials defined on a much more general tiangulation of a conn nected polygonal domain Ω. These schemes demand the location value and partial derivatives of the function f on the grid points and some other points of triangulation Δ of Ω. At last, we describe the reccurent computing method for interpolant splines.