<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

Data publikacji: 16 maj 2022

Zakres stron: 1 - 9

Otrzymano: 04 kwi 2022

Przyjęty: 19 kwi 2022

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

Słowa kluczowe
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

Data publikacji: 16 maj 2022

Zakres stron: 1 - 9

Otrzymano: 04 kwi 2022

Przyjęty: 19 kwi 2022

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

Słowa kluczowemapped 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.

Słowa kluczowe
mapped basis, Gibbs phenomenon, Runge’s phenomenon, fake nodes