A local scheme for piecewise 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.
Piecewise C^1 Shape-Preserving Hermite Interpolation / C. CONTI; R. MORANDI. - In: COMPUTING. - ISSN 0010-485X. - STAMPA. - 56:(1996), pp. 323-341. [10.1007/BF02253459]
Piecewise C^1 Shape-Preserving Hermite Interpolation
CONTI, COSTANZA;MORANDI, ROSSANA
1996
Abstract
A local scheme for piecewise 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.
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