Abstract
A local scheme for piecewiseC 1-Hermite interpolation is presented. The interpolant is obtained patching together cubic with quadratic polynomial segments; it is co-monotone and/or co-convex with the data. Under appropriate assumptions the method is fourth-order accurate.
Zusammenfassung
Ein lokaler Ansatz zur stückweisenC 1-Hermite-Interpolation wird vorgestellt. Die Interpolierende besteht aus zusammengesetzten kubischen und quadratischen Segmenten; sie erhält die Monotonie und/oder die Konvexität der Daten. Unter geeigneten Voraussetzungen approximier sie von vierter Ordnung.
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Conti, C., Morandi, R. PiecewiseC 1-shape-preserving Hermite interpolation. Computing 56, 323–341 (1996). https://doi.org/10.1007/BF02253459
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DOI: https://doi.org/10.1007/BF02253459