A new B-spline type approximation method for non-smooth functions

In this letter we present a non-linear modification of classical quadratic and cubic splines following the inspiration of the PPH (piecewise polynomial harmonic) interpolation method. The objective is to get rid of the oscillations that appear close to jump discontinuities in the function when we ap...

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Veröffentlicht in:	Applied mathematics letters 2023-07, Vol.141, p.108628, Article 108628
Hauptverfasser:	Amat, Sergio, Levin, David, Ruiz-Álvarez, Juan, Yáñez, Dionisio F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaption to discontinuities Approximation B-splines Discontinuous data Non linear means
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Beschreibung
Zusammenfassung:	In this letter we present a non-linear modification of classical quadratic and cubic splines following the inspiration of the PPH (piecewise polynomial harmonic) interpolation method. The objective is to get rid of the oscillations that appear close to jump discontinuities in the function when we approximate using a classical spline.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2023.108628