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Polynomial mapped bases: theory and applications - MaRDI portal

Polynomial mapped bases: theory and applications (Q2147769)

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scientific article; zbMATH DE number 7545028
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Polynomial mapped bases: theory and applications
scientific article; zbMATH DE number 7545028

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    Polynomial mapped bases: theory and applications (English)
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    20 June 2022
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    In this paper, the authors give the basic theory and the most important applications of a novel technique (a new simple technique that they have called fake nodes approach, which is a polynomial mapped bases method) that they have shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The new technique substantially mitigates the Runge's and Gibbs effects. Several examples are given.
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    mapped basis
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    Gibbs phenomenon
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    fake nodes
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