In this paper we consider the problem of designing piecewise polynomial local interpolants of non-uniformly spaced data. We provide a constructive approach that, for any assigned degree of polynomial reproduction, continuity order, and support width, allows for generating the fundamental spline functions of minimum degree having the desired properties. Finally, the proposed construction is extended to handle open sets of data and to the case of multiple knots.

C. Beccari, M. Antonelli, G. Casciola (2014). A general framework for the construction of piecewise-polynomial local interpolants of minimum degree. ADVANCES IN COMPUTATIONAL MATHEMATICS, 40(4), 945-976 [10.1007/s10444-013-9335-y].

A general framework for the construction of piecewise-polynomial local interpolants of minimum degree

BECCARI, CAROLINA VITTORIA;ANTONELLI, MICHELE;CASCIOLA, GIULIO
2014

Abstract

In this paper we consider the problem of designing piecewise polynomial local interpolants of non-uniformly spaced data. We provide a constructive approach that, for any assigned degree of polynomial reproduction, continuity order, and support width, allows for generating the fundamental spline functions of minimum degree having the desired properties. Finally, the proposed construction is extended to handle open sets of data and to the case of multiple knots.
2014
C. Beccari, M. Antonelli, G. Casciola (2014). A general framework for the construction of piecewise-polynomial local interpolants of minimum degree. ADVANCES IN COMPUTATIONAL MATHEMATICS, 40(4), 945-976 [10.1007/s10444-013-9335-y].
C. Beccari; M. Antonelli; G. Casciola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/205215
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