Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U.S.A.
Abstract:
The general interpolation problem over a linear space is solved by providing explicit formulas for the cardinal basis of the space. As an example of this technique, the cardinal form of a bivariate degree-nine polynomial interpolating to function and derivative values through order four at various points on a triangle is derived. The piecewise polynomial interpolant over an arbitrary triangulated domain in
has C2 continuity.