Generalizations of the constrained mock-Chebyshev least squares in two variables: Tensor product vs total degree polynomial interpolation
F Dell'Accio, F Di Tommaso, F Nudo - Applied Mathematics Letters, 2022 - Elsevier
The constrained mock-Chebyshev least squares interpolation is a univariate polynomial
interpolation technique exploited to cut-down the Runge phenomenon. It takes advantage of …
interpolation technique exploited to cut-down the Runge phenomenon. It takes advantage of …
[HTML][HTML] Electrically-tunable active metamaterials for damped elastic wave propagation control
An electrically-tunable metamaterial is herein designed for the active control of damped
elastic waves. The periodic device is conceived including both elastic phases and a …
elastic waves. The periodic device is conceived including both elastic phases and a …
Multivariate approximation at fake nodes
The main goal of the present paper is to extend the interpolation via the so-called mapped
bases without resampling to any basis and dimension. So far indeed, we investigated the …
bases without resampling to any basis and dimension. So far indeed, we investigated the …
A Lagrange interpolation with preprocessing to nearly eliminate oscillations
B de la Calle Ysern, P Galán del Sastre - Numerical Algorithms, 2024 - Springer
This work is concerned with the interpolation of a function f when using a low number of
interpolation points, as required by the finite element method for solving PDEs numerically …
interpolation points, as required by the finite element method for solving PDEs numerically …
Stable discontinuous mapped bases: the gibbs–runge-avoiding stable polynomial approximation (GRASPA) method
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 …
Appl Math 364: 112347, 2020c), allows to change the set of nodes without the need of …
On (β, γ)-Chebyshev functions and points of the interval
In this paper, we introduce the class of (β, γ)-Chebyshev functions and corresponding points,
which can be seen as a family of generalized Chebyshev polynomials and points. For the (β …
which can be seen as a family of generalized Chebyshev polynomials and points. For the (β …
[PDF][PDF] 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 interpolation, quadrature, bio …
technique that has shown to be suitable for scattered data interpolation, quadrature, bio …
Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena
SD Marchi - … Methods for Modelling, Approximation and Simulation, 2022 - Springer
In this paper, we present recent solutions to the problem of approximating functions by
polynomials for reducing in a substantial manner two well-known phenomena: Runge and …
polynomials for reducing in a substantial manner two well-known phenomena: Runge and …
[PDF][PDF] Quadrature at fake nodes
S De Marchi, G Elefante… - Dolomites …, 2021 - drna.padovauniversitypress.it
We investigate the use of the so-called mapped bases or fake nodes approach in the
framework of numerical integration. We show that such approach is able to mitigate the …
framework of numerical integration. We show that such approach is able to mitigate the …
A linear barycentric rational interpolant on starlike domains
JP Berrut, G Elefante - arXiv preprint arXiv:2104.09246, 2021 - arxiv.org
When an approximant is accurate on the interval, it is only natural to try to extend it to several-
dimensional domains. In the present article, we make use of the fact that linear rational …
dimensional domains. In the present article, we make use of the fact that linear rational …