<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The method relies on polynomial mapped bases allowing, for instance, to incorporate data or function discontinuities in a suitable mapping function. The new technique substantially mitigates the Runge’s and Gibbs effects.</p>
</abstract>

In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The method relies on polynomial mapped bases allowing, for instance, to incorporate data or function discontinuities in a suitable mapping function. The new technique substantially mitigates the Runge’s and Gibbs effects.

Polynomial mapped bases: theory and applications

Department of Mathematics “Tullio Levi-Civita”

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Polynomial mapped bases: theory and applications"}

In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data...

Polynomial mapped bases: theory and applications

Online veröffentlicht: 16. Mai 2022

Seitenbereich: 1 - 9

Eingereicht: 04. Apr. 2022

Akzeptiert: 19. Apr. 2022

DOI: https://doi.org/10.2478/caim-2022-0001

Schlüsselwörter
mapped basis, Gibbs phenomenon, Runge’s phenomenon, fake nodes

© 2022 Stefano De Marchi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Polynomial mapped bases: theory and applications

Online veröffentlicht: 16. Mai 2022

Seitenbereich: 1 - 9

Eingereicht: 04. Apr. 2022

Akzeptiert: 19. Apr. 2022

DOI: https://doi.org/10.2478/caim-2022-0001

Schlüsselwörtermapped basis, Gibbs phenomenon, Runge’s phenomenon, fake nodes

© 2022 Stefano De Marchi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Schlüsselwörter
mapped basis, Gibbs phenomenon, Runge’s phenomenon, fake nodes