Submitted:
Published:
Sampling, approximation, and interpolation of differential forms by admissible integral k-meshes
L. Bruni Bruno, F. Piazzon, Advances in Computational Mathematics Volume 52, article number 86 (2026)
The Lebesgue constant for uniform approximation of differential forms
L. Bruni Bruno, F. Piazzon,
Journal Mathematical Analysis and Applications 52 (1) 2026
Wave Propagation in Kelvin-Voigt Heterogeneous Materials: a Spectral-Galerkin Approach
Nicolò Crescenzio, Antonia Larese, Giulio Giusteri, Federico Piazzon, Mario Putti
Accepted by Computer Methods in Applied Mechanics and Engineering 29 March 2026
A pluripotential theoretic framework for polynomial interpolation of vector-valued functions and differential forms.
L. Bruni Bruno, F. Piazzon, Dolomites Res. Notes Approx., 17(3):97–113, 2024.
L 1 transport energy.
Enrico Facca, Federico Piazzon, and Mario Putti. Applied Mathematics and Optimization, 86(2):1–44, 2022
Quadrature-based polynomial optimization.
Angeles Martinez, Federico Piazzon, Alvise Sommariva, and Marco Vianello Optim. Lett., 14:1027–1036, 2020.
The Extremal Function for the Complex Ball for Generalized Notions of Degreeand Multivariate Polynomial Approximation.
T. Bloom, L. Bos, N. Levenberg, S. Ma’u, and F. Piazzon. Annales Polonici Mathematici, 123:171–195, 2019.
Near optimal polynomial regression on norming meshes.
L. Bos, F. Piazzon, and M. Vianello. In 2019 13th International conference on Sampling Theory and Applications (SampTA), pages 1–4, 2019.
Near G-optimal Tchakaloff designs.
Len Bos, Federico Piazzon, and Marco Vianello. Computational Statistics, 35:803–819, 2019
Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex and the sphere.
Federico Piazzon Computational Methods and Function Theory, 19:547–582, 2019.
Pluripotential numerics.
Federico Piazzon, Constructive Approximation, 49:227–263, 2019.
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies.
Federico Piazzon and Marco Vianello. Optimization Letters, 13:1325–1343, 2019.
The extremal plurisubharmonic function of the torus.
Federico Piazzon. Dolomites Research Notes on Approximation. Special issue dedicated to Norm Levenberg on the occasion of his 60th birthday, 11:75–85, 2018.
A note on total degree polynomial optimization by Chebyshev grids.
Federico Piazzon and Marco Vianello. Optim. Lett., 12(1):63–71, 2018.
Stability inequalities for Lebesgue constants via Markov-like inequalities.
Federico Piazzon and Marco Vianello. Dolomites Research Notes on Approximation, 11(1):1–9, 2018.
Caratheodory-Tchakaloff least squares.
Federico Piazzon, Alvise Sommariva, and Marco Vianello. In 2017 International Conference on Sampling Theory and Applications (SampTA), 672–676, 2017.
A weighted extremal function and equilibrium measure.
Len Bos, Norman Levenberg, Sione Ma‘u, and Federico Piazzon. Math. Scand., 121(2):243–262, 2017.
An orthogonality property of legendre polynomials.
Len P. Bos, Akil Narayan, Norm Levenberg, and Federico Piazzon. Constr. Approx., 45:65–81, 2017.
Some results on the rational Bernstein-Markov property in the complex plane.
Federico Piazzon. Comput. Methods Funct. Theory, 17(3):405–443, 2017.
Caratheodory-Tchakaloff subsampling.
Federico Piazzon, Alvise Sommariva, and Marco Vianello. Dolomites Res. Notes Approx., 10:5–14, 2017.
Bernstein Markov Properties and Applications.
Federico Piazzon. PhD thesis, University of Padova (Italy), 2016.
Optimal polynomial admissible meshes on some classes of compact subsets of R d .
Federico Piazzon. J. Approx. Theory, 207:241–264, 2016.
Jacobi norming meshes.
Federico Piazzon and Marco Vianello. Math. Inequal. Appl., 19:1089–1095, 2016.
Bernstein-Markov: a survey.
Thomas Bloom, Norman Levenberg, Federico Piazzon, and Franck Wielonsky. Dolomites Res. Notes Approx., 8(Special Issue):75–91, 2015.
Polynomial meshes: Computation and approximation.
Stefano De Marchi, Federico Piazzon, Alvise Sommariva, and Marco Vianello. CMMSE, pages 414–425, 2015.
Constructing optimal polynomial meshes on planar starlike domains.
Federico Piazzon and Marco Vianello. Dolomites Res. Notes Approx. DRNA, 7:22–25, 2014.
Suboptimal polynomial meshes on planar Lipschitz domains.
Federico Piazzon and Marco Vianello. Numer. Funct. Anal. Optim.,35(11):1467–1475, 2014.
Small perturbations of polynomial meshes.
Federico Piazzon and Marco Vianello. Appl. Anal., 92(5):1063–1073, 2013.
Analytic transformations of admissible meshes.
Federico Piazzon and Marco Vianello. East J. Approx., 16(4):389–398, 2010.
Preprints:
Differential forms: Lagrange interpolation, sampling and approximation on polynomial admissible integral k-meshes.
L. Bruni Bruno, F. Piazzon, submitted to Constructive Approximation 2025
Computing the L1 optimal transport density: a FEM approach
Federico Piazzon, Enrico Facca, and Mario Putti
Computing optimal experimental designs on finite sets by log-determinant gradient flow
Federico Piazzon