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

Sergio Amat; David Levin; Juan Ruiz-Álvarez; Dionisio F. Yáñez

doi:10.1016/j.aml.2023.108628

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

Sergio Amat, David Levin, Juan Ruiz-Álvarez^*, Dionisio F. Yáñez

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	108628
Journal	Applied Mathematics Letters
Volume	141
DOIs	https://doi.org/10.1016/j.aml.2023.108628
State	Published - Jul 2023

Keywords

Adaption to discontinuities
Approximation
B-splines
Discontinuous data
Non linear means

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10.1016/j.aml.2023.108628

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title = "A new B-spline type approximation method for non-smooth functions",

abstract = "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.",

keywords = "Adaption to discontinuities, Approximation, B-splines, Discontinuous data, Non linear means",

author = "Sergio Amat and David Levin and Juan Ruiz-{\'A}lvarez and Y{\'a}{\~n}ez, {Dionisio F.}",

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AU - Levin, David

AU - Ruiz-Álvarez, Juan

AU - Yáñez, Dionisio F.

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AB - 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.

KW - Adaption to discontinuities

KW - Approximation

KW - B-splines

KW - Discontinuous data

KW - Non linear means

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

Abstract

Keywords

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