Francesco Dell'Accio

Juan F. Reinoso

J. Comput. Appl. Math., 2026

2025

Polynomial Histopolation On Mock-Chebyshev Segments.

[BibT_eX]

[DOI]

J. Sci. Comput., August, 2025

The univariate multinode Shepard method for the Caputo fractional derivatives: from Approximation to the solution of Bagley-Torvik equation.

[BibT_eX]

[DOI]

Ilde Ferrara

CoRR, August, 2025

Multinode Shepard collocation method for pricing of financial derivatives.

[BibT_eX]

[DOI]

CoRR, August, 2025

A C<sup>∞</sup> rational quasi-interpolation operator for functions with jumps without the Gibbs phenomenon.

[BibT_eX]

[DOI]

CoRR, August, 2025

Weighted and unweighted enrichment strategies for solving the Poisson problem with Dirichlet boundary conditions.

[BibT_eX]

[DOI]

CoRR, August, 2025

C<sup>∞</sup> rational approximation and quasi-histopolation of functions with jumps through multinode Shepard functions.

[BibT_eX]

[DOI]

CoRR, August, 2025

A novel interpolation-regression approach for function approximation on the disk and its application to cubature formulas.

[BibT_eX]

[DOI]

CoRR, August, 2025

Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials.

[BibT_eX]

[DOI]

Gradimir V. Milovanovic

CoRR, August, 2025

Bivariate polynomial histopolation techniques on Padua, Fekete and Leja triangles.

[BibT_eX]

[DOI]

CoRR, June, 2025

Nonsingularity of unsymmetric Kansa matrices: Random collocation by MultiQuadrics and Inverse MultiQuadrics.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2025

Reconstructing algebraic functions from a nonconforming exponential weighted enriched finite element.

[BibT_eX]

[DOI]

Gradimir V. Milovanovic

J. Comput. Appl. Math., 2025

A quadrature formula on triangular domains via an interpolation-regression approach.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2025

2024

Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains.

[BibT_eX]

[DOI]

Elisa Francomano

J. Comput. Appl. Math., 2024

Numerical approximation of Fredholm integral equation by the constrained mock-Chebyshev least squares operator.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2024

An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2024

Numerical cubature on scattered data by adaptive interpolation.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2024

Constrained mock-Chebyshev least squares approximation for Hermite interpolation.

[BibT_eX]

[DOI]

CoRR, 2024

Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation.

[BibT_eX]

[DOI]

Alvise Sommariva

Marco Vianello

CoRR, 2024

A new quadratic and cubic polynomial enrichment of the Crouzeix-Raviart finite element.

[BibT_eX]

[DOI]

CoRR, 2024

New quadratic and cubic polynomial enrichments of the Crouzeix-Raviart finite element.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2024

Polynomial approximation of derivatives through a regression-interpolation method.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2024

2023

Random sampling and unisolvent interpolation by almost everywhere analytic functions.

[BibT_eX]

[DOI]

Alvise Sommariva

Marco Vianello

Appl. Math. Lett., November, 2023

Enrichment strategies for the simplicial linear finite elements.

[BibT_eX]

[DOI]

Appl. Math. Comput., August, 2023

A general class of enriched methods for the simplicial linear finite elements.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2023

2022

Polynomial approximation of derivatives by the constrained mock-Chebyshev least squares operator.

[BibT_eX]

[DOI]

CoRR, 2022

Constrained mock-Chebyshev least squares quadrature.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2022

Generalizations of the constrained mock-Chebyshev least squares in two variables: Tensor product vs total degree polynomial interpolation.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2022

A Parallel Implementation of the Triangular Shepard Interpolation Method.

[BibT_eX]

[DOI]

Proceedings of the 30th Euromicro International Conference on Parallel, 2022

2021

Fast and accurate scattered Hermite interpolation by triangular Shepard operators.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

Numerical differentiation on scattered data through multivariate polynomial interpolation.

[BibT_eX]

[DOI]

CoRR, 2021

Solving Poisson equation with Dirichlet conditions through multinode Shepard operators.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2021

On the numerical computation of bivariate Lagrange polynomials.

[BibT_eX]

[DOI]

Najoua Siar

Appl. Math. Lett., 2021

2020

An Efficient Trivariate Algorithm for Tetrahedral Shepard Interpolation.

[BibT_eX]

[DOI]

J. Sci. Comput., 2020

Rational Hermite interpolation on six-tuples and scattered data.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2020

2019

Fast computation of triangular Shepard interpolants.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2019

Comparison of Shepard's Like Methods with Different Basis Functions.

[BibT_eX]

[DOI]

Domenico Gonnelli

Proceedings of the Numerical Computations: Theory and Algorithms, 2019

Interpolation by Bivariate Quadratic Polynomials and Applications to the Scattered Data Interpolation Problem.

[BibT_eX]

[DOI]

Proceedings of the Numerical Computations: Theory and Algorithms, 2019

A 3D Efficient Procedure for Shepard Interpolants on Tetrahedra.

[BibT_eX]

[DOI]

Proceedings of the Numerical Computations: Theory and Algorithms, 2019

2018

Reconstruction of a function from Hermite-Birkhoff data.

[BibT_eX]

[DOI]

Kai Hormann

Appl. Math. Comput., 2018

2017

Editorial.

[BibT_eX]

[DOI]

Maria Italia Gualtieri

Gennaro Infante

Anna Napoli

Math. Comput. Simul., 2017

Bivariate Shepard-Bernoulli operators.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2017

2016

Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

2015

On the constrained mock-Chebyshev least-squares.

[BibT_eX]

[DOI]

Stefano De Marchi

Mariarosa Mazza

J. Comput. Appl. Math., 2015

2013

Complementary Lidstone interpolation on scattered data sets.

[BibT_eX]

[DOI]

Numer. Algorithms, 2013

2012

On the bivariate Shepard-Lidstone operators.

[BibT_eX]

[DOI]

R. Caira

J. Comput. Appl. Math., 2012

Enhancing the approximation order of local Shepard operators by Hermite polynomials.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2012

2011

The numerical calculation of topological turning points.

[BibT_eX]

[DOI]

L. Guzzardi

Int. J. Comput. Math., 2011

2010

Using Observed Functional Data to Simulate a Stochastic Process via a Random Multiplicative Cascade Model.

[BibT_eX]

[DOI]

Proceedings of the 19th International Conference on Computational Statistics, 2010

2008

On the nonsingularity of a special class of centrosymmetric matrices arising in spectral methods in BVPs.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2008

2007

New embedded boundary-type quadrature formulas for the simplex.

[BibT_eX]

[DOI]

Numer. Algorithms, 2007

Shepard-Bernoulli operators.

[BibT_eX]

[DOI]

R. Caira

Math. Comput., 2007

2001

Expansions over a Simplex of Real Functions by Means of Bernoulli Polynomials.

[BibT_eX]

[DOI]