Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

descriptionPublicationkeyboard_double_arrow_right Article 10 Sep 2014 English Publisher:WileyJournal:Advances in Numerical Analysis, volume 2,014, pages 1-8 (issn: 1687-9562, eissn: 1687-9570,

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Authors: Feng-Gong Lang; Xiao-Ping Xu;

doi: 10.1155/2014/353194

Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

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Abstract

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

Related Organizations

Ocean University of China
China (People's Republic of)

Keywords

Numerical computation using splines

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