Stable discontinuous mapped bases: the gibbs–runge-avoiding stable polynomial approximation (GRASPA) method

S De Marchi, G Elefante, F Marchetti - Computational and Applied …, 2021 - Springer
The mapped bases or Fake Nodes Approach (FNA), introduced in De Marchi et al.(J Comput
Appl Math 364: 112347, 2020c), allows to change the set of nodes without the need of …

Interpolation by integrals on balls

LB Bruno, G Elefante - arXiv preprint arXiv:2312.10537, 2023 - arxiv.org
In this work we blend interpolation theory with numerical integration, constructing an
interpolator based on integrals over $ n $-dimensional balls. We show that, under …

[HTML][HTML] More properties of (β, γ)-Chebyshev functions and points

S De Marchi, G Elefante, F Marchetti… - Journal of Mathematical …, 2023 - Elsevier
Abstract Recently,(β, γ)-Chebyshev functions, as well as the corresponding zeros, have
been introduced as a generalization of classical Chebyshev polynomials of the first kind and …

[HTML][HTML] Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach

D Poggiali, D Cecchin, S De Marchi - Journal of Computational …, 2022 - Elsevier
It is a common practice in multimodal medical imaging to undersample the anatomically-
derived segmentation images to measure the mean activity of a co-acquired functional …

[PDF][PDF] (Beta, Gamma)-funzioni di Chebyshev e loro applicazione ai fenomeni di Gibbs e Runge

JZ MARIETHOZ - 2022 - thesis.unipd.it
In questo elaborato presentiamo le (β, γ)-funzioni di Chebyshev ei corrispondenti (β, γ)-punti
di Chebyshev. Mostriamo che possono essere considerati come una generalizzazione dei …

[PDF][PDF] On (β, γ)-Chebyshev functions and points

S De Marchi - math.unipd.it
redOn (,)-Chebyshev functions and points - Page 1 Notations and motivations (β, γ)-Chebyshev
functions and points of the interval Towards (β, γ)-Lissajous curves and related points On (β …

* Dipartimento di Matematica” Tullio Levi-Civita”, Universita di Padova;** Département de Mathématiques, Université de Fribourg; demarchi@ math. unipd. it; giacomo …

S De Marchi - umi-taa.sites.dmi.unipg.it
Very recently, we introduced the class of (β, γ)-Chebyshev functions and corresponding
points, which can be seen as a family of generalized Chebyshev polynomials and points [1] …