Polynomial mapped bases: theory and applications-Reference-Cited by-同舟云学术

Polynomial mapped bases: theory and applications

Published:2022-01-01 Issue:1 Volume:13 Page:1-9
ISSN:2038-0909
Container-title:Communications in Applied and Industrial Mathematics
language:en
Short-container-title:

Author:

De Marchi Stefano¹²,Elefante Giacomo¹²,Francomano Elisa³²,Marchetti Francesco¹²

Affiliation:

1. University of Padova , Department of Mathematics “Tullio Levi-Civita” , Italy

2. INδAM Gruppo Nazionale di Calcolo Scientifico

3. University of Palermo , Department of Engineering , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Link

https://www.sciendo.com/pdf/10.2478/caim-2022-0001

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