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Polynomial fitting and interpolation on circular sections

We construct Weakly Admissible polynomial Meshes (WAMs) on circular sections, such as symmetric and asymmetric circular sectors, circular segments, zones, lenses and lunes. The construction resorts to recent results on subperiodic trigonometric interpolation. The paper is accompanied by a software p...

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Bibliographic Details
Published in:Applied mathematics and computation 2015-05, Vol.258, p.410-424
Main Authors: Sommariva, Alvise, Vianello, Marco
Format: Article
Language:English
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Summary:We construct Weakly Admissible polynomial Meshes (WAMs) on circular sections, such as symmetric and asymmetric circular sectors, circular segments, zones, lenses and lunes. The construction resorts to recent results on subperiodic trigonometric interpolation. The paper is accompanied by a software package to perform polynomial fitting and interpolation at discrete extremal sets on such regions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.02.013