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A \(C^ 2\)-quintic spline interpolation scheme on triangulation. (English) Zbl 0770.65005
The author presents an explicitly given quintic piecewise polynomial \(C^ 2\) interpolation scheme for triangular data. The scheme is obtained on the subdivided triangulation with the minimal split (each original triangle into 7 subtriangles). The paper thus gives an affirmative answer to a known question.

MSC:
65D07 Numerical computation using splines
65D05 Numerical interpolation
41A05 Interpolation in approximation theory
41A15 Spline approximation
41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)
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