Publications
ACCEPTED
Qsurf: compressed QMC integration on parametric surfaces, Giacomo Elefante, Alvise Sommariva and Marco Vianello, accepted in J. Approx. Software
SUBMITTED
Interpolation on integrals of disks, Ludovico Bruni Bruno and Giacomo Elefante
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach, Edoardo Artioli, Giacomo Elefante, Alvise Sommariva and Marco Vianello
Compressed QMC volume and surface integration on union of balls, Giacomo Elefante, Alvise Sommariva and Marco Vianello
In Preparation
Least squares Whitney forms, Ludovico Bruni Bruno and Giacomo Elefante
CGQ: an algorithm to compress quadrature on graphs, Giacomo Elefante
Tchakaloff-Davis-Wilhelmsen representation of positive functionals: from theory to computation, Giacomo Elefante, Alvise Sommariva and Marco Vianello
2024
A barycentric trigonometric Hermite interpolant via an iterative approach, Giacomo Elefante, J. Comput. Appl. Math. (2024), 115597 DOI: https://doi.org/10.1016/j.cam.2023.115597
2023
More properties of (β,γ)-Chebyshev functions and points, Stefano De Marchi, Giacomo Elefante, Francesco Marchetti and Jean-Zacharie Mariethoz, J. Math. Anal. Appl. (2023), 127603 DOI: https://doi.org/10.1016/j.jmaa.2023.127603
Electrically-tunable active metamaterials for damped elastic wave propagation control, Giacomo Elefante, Maria Laura De Bellis and Andrea Bacigalupo, Int. J. Solids Struct. 276 (2023), 112306 DOI: https://doi.org/10.1016/j.ijsolstr.2023.112306
2022
Interpolation with the polynomial kernels, Giacomo Elefante, Wolfgang Erb, Francesco Marchetti, Emma Perracchione, Davide Poggiali and Gabriele Santin, Dolomites Res. Notes Approx. 15 (2022), Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday, p.45-60 DOI: http://dx.doi.org/10.14658/pupj-drna-2022-4-5
CQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature, Giacomo Elefante, Alvise Sommariva and Marco Vianello, Dolomites Res. Notes Approx. 15 (2022), Special Issue SA2022, p.92-100 DOI: http://dx.doi.org/10.14658/pupj-drna-2022-2-8
A linear barycentric rational interpolant on starlike domains, Jean-Paul Berrut and Giacomo Elefante, Electron. Trans. Numer. Anal. 55 (2022), 726–743. DOI: https://doi.org/10.1553/etna_vol55s726
Polynomial mapped bases: theory and applications, Stefano De Marchi, Giacomo Elefante, Elisa Francomano and Francesco Marchetti, Commun. Appl. Ind. Math. 13 (2022), no. 1, 1–9. 41 DOI: https://doi.org/10.2478/caim-2022-0001
2021
Stable discontinuous mapped bases: the Gibbs-Runge-Avoiding Stable Polynomial Approximation (GRASPA) method, Stefano De Marchi, Giacomo Elefante and Francesco Marchetti, Comp. Appl. Math. 40, 299 (2021) DOI: https://doi.org/10.1007/s40314-021-01688-z
On (β,γ)-Chebyshev functions and points of the interval, Stefano De Marchi, Giacomo Elefante and Francesco Marchetti, J. Approx. Theory 271 (2021), 105634 DOI: https://doi.org/10.1016/j.jat.2021.105634
Bounding the Lebesgue constant for a barycentric rational trigonometric interpolant at periodic well-spaced nodes , Jean-Paul Berrut and Giacomo Elefante, J. Comput. Appl. Math. 398 (2021), 113664 DOI: https://doi.org/10.1016/j.cam.2021.113664
Quadrature at fake nodes, Stefano De Marchi, Giacomo Elefante, Emma Perracchione and Davide Poggiali, Dolomites Res. Notes Approx. 14 (2021), Special Issue MATA2020, p.39-45 DOI: https://doi.org/10.14658/pupj-drna-2021-2-6
2020
Treating the Gibbs phenomenon in barycentric rational interpolation via the S-Gibbs algorithm, Jean-Paul Berrut, Stefano De Marchi, Giacomo Elefante and Francesco Marchetti, Appl.Math.Letters. 103 (2020), 106196 DOI: https://doi.org/10.1016/j.aml.2019.106196
A periodic map for linear barycentric rational trigonometric interpolation, Jean-Paul Berrut and Giacomo Elefante, Appl.Math.Comput. 371 (2020), 124924 DOI: https://doi.org/10.1016/j.amc.2019.124924
2018
Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz s-energy points, Stefano De Marchi and Giacomo Elefante, Appl.Num.Math. 127(5), pp. 110--124 (2018) DOI: https://doi.org/10.1016/j.apnum.2017.12.017
2016
A new quasi-Monte Carlo technique based on nonnegative least-squares and approximate Fekete points, Claudia Bittante, Stefano De Marchi and Giacomo Elefante - Numer.Math.TMA. 9(4), pp. 640--663 (2016) DOI: https://doi.org/10.4208/nmtma.2016.m1516