Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm
- Berrut, Jean-Paul Département de Mathématiques, Université de Fribourg, Switzerland
- De Marchi, Stefano Dipartimento di Matematica “Tullio Levi-Civita”, Università di Padova, Italy
- Elefante, Giacomo Département de Mathématiques, Université de Fribourg, Switzerland
- Marchetti, Francesco Dipartimento di Salute della Donna e del Bambino, Università di Padova, Italy
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01.05.2020
Published in:
- Applied Mathematics Letters. - 2020, vol. 103, p. 106196
English
In this work, we extend the so-called mapped bases or fake nodes approach to the barycentric rational interpolation of Floater–Hormann and to AAA approximants. More precisely, we focus on the reconstruction of discontinuous functions by the S-Gibbs algorithm introduced in De Marchi et al. (2020). Numerical tests show that it yields an accurate approximation of discontinuous functions.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 328447
- DOI 10.1016/j.aml.2019.106196
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308528
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