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Stefano De Marchi: publications and preprints
My H-index and citations from Google Scholar
Works in progress
On the intrinsic dimension of a manifold by homological approach, with Cinzia Bandiziol and Michele Allegra
Submitted
- A Note on the Direct Approximation of Derivatives in Rational Radial Basis Functions Partition of Unity Method,
draft (January 2025), with Vahid Mohammadi.
- On the Lebesgue constant of the Morrow-Patterson points,
draft (November 2024), with Leokadia Bialas-Ciez and Tomasz Beberok.
- Fast-decaying polynomial reproduction
draft (November 2024), with Giacomo Cappellazzo.
- Lp Convergence of Kantorovich-type max-min
neural network operators
draft (April 2024), with Ismail Aslan and Wolfgang Erb.
2024
- Persistence symmetric kernels for classification: A comparative study
draft (August 2024), with Cinzia Bandiziol,
Symmetry 16(9) 2024, 1236
special issue Algebraic Systems, Models and Applications
-
A mixed interpolation-regression approximation operator on the triangle,
draft (July 2024) with Francesco Dell'Accio e Federico Nudo,
Dolomites Res. Notes on Approx, Vol. 17.3 (2024), pp.33-44.
- Non-oscillatory solutions of the 2D coupled Burgers equations using the RTH RBF method
draft (June 2024) with Maryam Mohammadi, Mohammad Heidari
AIP Conference Proceedings ICNAAM2022, Vol. 3094, pp. 32006-1:32006-4 (2024)
- On a new class of positive definite RBFs by using Fourier cosine transform
draft (Feb 2024) with Mohammad Heidari, Maryam Mohammadi,
Dolomites Res. Notes on Approx. Vol. 17.2 (2024), pp. 22-32.
- Full-rank orthonormal bases for conditionally positive definite kernel based spaces
draft (October 2023) with Mohammad Karimnejad Esfhani, Maryam Mohammadi,
J. Comput. Appl. Math. Available online 10 January 2024, 115761
-
Aldaz-Kounchev-Render operators on simplices,
draft (July 2023), with Ana Acu and Ioan Rasa,
J. Math. Anal. Appl. 533 (2), 15 May 2024, 128072
2023
- More properties of (β, γ)-Chebyshev functions and points,
ArXiv (May 2023) with G. Elefante, F. Marchetti and J.-Z. Mariethoz.
J. Math. Anal. Appl. 528 (2) (2023), 127603
- Mapped Variably Scaled Kernels: Applications to Solar Imaging
ArXiv (Apr. 2023) with F. Marchetti, A. Volpara, A. M. Massone, E. Perracchione and M. Piana.
In
Lecture Notes in Computer Science book series (LNCS,volume 14108)
ICCSA 2023: Computational Science and Its Applications – ICCSA 2023 Workshops, pp 577-592
- Curvature-based characterization of radial basis functions: application to interpolation
draft (Oct. 2022) with M. Heidari and M. Mohammadi,
Mathematical Modelling and Analysis (MMA), Vol. 28 (3) (2023), pp......
- Moving Least Squares Approximation using Variably Scaled
Discontinuous Weight Function
with M. Karimnejad Esfahani and F. Marchetti,
Constr. Math. Analysis 6 (2023), pp. 38-54.
- Aldaz-Kounchev-Render operators and their approximation properties
draft (Feb. 2022) with A. Acu and I. Rasa,
Results in Math. 78, 21 (2023), doi
2022
- Computational issues by interpolating with inverse multiquadrics: a solution
draft (Apr. 2022) with N. Egidi, J. Giacomini, P. Maponi and A. Perticarini,
Dolomites Res. Notes on Approx. 15, Special Issue ATMA2021, pp. 56-64.
- Stable interpolation with
exponential-polynomial splines and node selection via greedy algorithms,
draft (Sept. 2021), with R. Campagna, E. Perracchione and G. Santin,
Adv. Comput. Math. 48(6) (2022), art. nr. 69.
- Variably Scaled Persistence Kernels (VSPKs)
for persistent homology applications
draft (Feb. 2022) with F. Lot, F. Marchetti and D. Poggiali,
J. Comput. Math. and Data Science 4(2022), 100050.
- Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach
draft (Feb. 2022) with D. Cecchin and D. Poggiali,
J. Comput. Math. and Data Science 4(2022), 100040.
- Polynomial mapped bases: theory and applications
draft (Apr. 2022) with G. Elefante, E. Francomano and F. Marchetti,
SIMAI Comm. Appl. Ind. Math. 13(2022), 1-9.
- Mapped polynomials and discontinuous kernels
for Runge and Gibbs phenomena
draft,
SEMA SIMAI Springer Series 29, Mathematical and Computational Methods for Modelling, Approximation and Simulation, pp. 3-43
R. Berreira, S. Remogna et al. Editors.
- Padua points and ``fake'' nodes for polynomial approximation: old, new and open problems
draft (March 2022),
Constr. Mathematical Analysis 5(1) (2022), 14-36.
2021
- Stable discontinuous mapped bases:
the Gibbs-Runge-Avoiding Stable Polynomial
Approximation (GRASPA) method
draft (May 2021), with G. Elefante and F. Marchetti,
Comput. Appl. Math. (COAM) (2021) 40:299 doi
- On "marcov" inequalities
(Oct. 2021), with L. Bos and A. Sommariva,
Dolomites Res. Notes on Approx. 14 (2021), pp. 92-100.
- On a Bivariate Generalization of Berrut's Barycentric Rational Interpolation to a Triangle
draft (Sept. 2021), with L. Bos,
Mathematics 2021, 9, 2481. link doi
- A shape preserving quasi-interpolation operator based on a new transcendental RBF
draft (June 2021), with M. Heidari and M. Mohammadi,
Dolomites Res. Notes Approx. 14 (2021), pp. 56-73 online
- On (β, γ)-Chebyshev functions and points of the interval
draft (July 2021), with G. Elefante and F. Marchetti,
J. Approx. Theory (Nov. 2021), 105634, online.
- Oversampling errors in multimodal medical imaging are due to the Gibbs effect
draft (May 2021), with D. Poggiali, C. Campi and D. Cecchin,
Mathematics (2021) 9(12):1348. doi
- Quadrature at fake nodes
with G. Elefante, E. Perracchione and D. Poggiali
Dolomites Res. Notes Approx. 14 (2021), Special Issue MATA2020, p.39-45
- Numerical simulation of a prostate tumor growth model by the RBF-FD scheme
and a semi-implicit time discretization
draft (Nov 2020), with Vahid Mohammadi; Mehdi Dehghan
J. Comput. Appl. Math. 388(2021), 113314, 23 pp.
- Multivariate approximation at fake nodes
draft, with F. Marchetti, E. Perracchione and D. Poggiali,
Appl. Math. Comput. 391, 125628 (2021) online
- An RBF approach for oil futures pricing under
the jump-diffusion model
with Mohammad Karimnejad Esfahani and Abdolsadeh Neisy,
J. Math. Modelling 9(1) (2021), pp. 81--92 online
2020
- Fake Nodes approximation for Magnetic Particle
Imaging
draft, with W. Erb, E. Francomano, F. Marchetti, E. Perracchione and D. Poggiali
2020 IEEE 20th Mediterranean Electrotechnical Conference (MELECON), Palermo, pp. 434-438,
doi: 10.1109/MELECON48756.2020.9140583.
- Variably Scaled Kernels Improve Classification of
Hormonally-Treated Patient-Derived Xenografts
draft, with F. Marchetti, F. De Martino, M. Shamseddin and C. Brisken
2020 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS), Bari, pp. 1-6,
doi: 10.1109/EAIS48028.2020.9122767.
- Jumping with Variably Scaled Discontinuos Kernels (VSDK)
with F. Marchetti and E. Perracchione.
BIT Numerical Mathematics 60 (2020), pp. 441-463, online version
-
Shape-Driven Interpolation with Discontinuous Kernels: Error Analysis, Edge Extraction and Applications in MPI
ArXiv version, with W. Erb, F. Marchetti, E. Perracchione and M. Rossini.
SIAM J. Sci. Comput. 42(2) (2020) pp. B472-B491, doi
- Treating the Gibbs phenomenon in barycentric rational interpolation and approximationvia the S-Gibbs
algorithm
draft (Oct. 2019) with J.-P. Berrut, G. Elefante and F. Marchetti.
Appl. Math. Letters 103 (2020) 106196 online
-
Analysis of a new class of rational RBF expansions
draft (Feb. 2018) with M. Buhmann, E. Perracchione,
IMA J. Numer. Analysis 40(3) (2020), pp. 1972--1993 online
- A stable meshfree PDE solver for source-type flows in porous media
draft (Dec. 2018) with R. Campagna, S. Cuomo, E. Perracchione and G. Severino.
Appl. Num. Math. 149 (2020), pp. 30-42 online
- On the Convergence of the Rescaled Localized Radial Basis
Function Method
draft (July 2019), with H. Wendland.
Appl. Math. Letters 99 (2020), 105996 online
-
Polynomial interpolation via mapped bases without resampling
draft, F. Marchetti, E. Perracchione and D. Poggiali.
J. Comput. Appl. Math. 364 (2020), p.112347 doi
2019
- A Kinetic Neural Network Approach for Absolute Quantification and Change Detection in Positron Emission Tomography
draft, with D. Poggiali and D. Cecchin.
In MASCOT 2018 Proceedings - 15th Meeting on Applied Scientific Computing and Tools, Grid generation, Approximation and Visualization. In IMACS SERIES COMPUTATIONAL AND APPLIED MATHEMATICS - ISSN:1098-870X vol. 22 (2019), pp.91-100.
- In the footsteps of Copernicus: Padova and Uppsala
draft, with M. Klimek,
Irish Math. Soc. Bulletin 83 (2019), pp 19-27
- On the Lebesgue constant of the trigonometric Floater-Hormann rational interpolant at equally spaced nodes
with C. Bandiziol,
Dolomites Res. Notes Approx. 12 (2019), pp. 51-67
-
RBF-based partition of unity method for elliptic PDEs: Adaptivity and stability issues via VSKs
with A. Martinez, E. Perracchione and M. Rossini.
J. Sci. Comput. 79(1) (2019), pp. 321-344
online first
- Mathematics and Oenology: exploring an unlikely pairing. (Mathematics and wine)
with L. Cadeddu and A. Cauli
in
Handbook of the Mathematics of the Arts and Sciences", pp. 1-32, doi, Springer 2019.
Ed. B. Sriraman.
-
Fast and stable rational RBF-based Partition of Unity interpolation
with A. Martinez, E. Perracchione. J. Comput. Appl. Math. 349 (2019), pp. 331-343
online version.
2018
- Image Reconstruction from Scattered
Radon Data with Weighted Positive Definite Kernel Functions
draft, with A. Iske and G. Santin,
Calcolo 55(2) (2018),
doi
- Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz $s$-energy points,
draft, with G. Elefante,
Appl. Num. Math. 127(5), pp. 110-124 (2018),
doi
- Marcinkiewicz-Zygmund type results in multivariate domains
draft (August 2017), with A. Kroó
Acta Math. Hungar. 151(1), pp.69--89 (2018),
online version .
2017
- Ricci tensors and wine in
Lugo di Romagna and Padova, Italy
draft (Apr. 2017) with G. Andreatta,
Math. Intelligencer 39 (3), pp. 56--60.
online version .
- Lissajous sampling and spectral filtering in
MPI applications: the reconstruction algorithm for reducing the Gibbs phenomenon
draft (Feb. 2017) with W. Erb and F. Marchetti,
Proceedings of SampTA 2017. , pp. 580--584.
IEEE Xplore Digital Library DOI: 10.1109/SAMPTA.2017.8024375
- A rescaled method for RBF approximation
draft (Nov. 2016) with A. Idda and G. Santin,
Proceedings of "Approximation Theory XV",
Springer Proceedings on Mathematics and Statistics, Vol. 201 (2017), pp.39--59.
- Spectral filtering for the reduction of the Gibbs phenomenon of polynomial approximation
methods on Lissajous curves with applications in MPI
with W. Erb and F. Marchetti,
Dolomites Res. Notes Approx. 10 (2017), pp. 128--137.
- Partition of unity interpolation using stable kernel-based techniques
(draft), with R. Cavoretto et al.,
Appl. Numer. Math. 116 (2017), pp. 95--107,
online.
- Polynomial approximation on Lissajous
curves in the d-cube ,
proceeding conference honoring prof. F.
Costabile, with L. Bos and M. Vianello.
Appl. Numer. Math., available online 26 January 2017
here
- Trivariate polynomial approximation on Lissajous curves
with L. Bos and M. Vianello.
IMA J. Numer. Analysis (2017) 37, pp. 519--541.
2016
- A new quasi-Monte Carlo technique based on nonnegative least-squares and approximate Fekete points
(draft) with C. Bittante and G. Elefante.
Numer. Math. TMA. 9(4) (2016), pp. 640--663;
doi.
- Kernel-based Image Reconstruction from Scattered Radon Data
(draft) with A. Iske, A. Sironi.
Dolomites Res. Notes on Approx. Vol 9,
special
issue for the workshop "Kernel-based methods and function approximation", pp. 19--31.
- Approximating basins of attraction for dynamical systems
via stable radial bases
R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione
and G. Santin
AIP Conference Proceedings, 1738, 390003 (2016); doi:10.1063/1.4952177
online
2015
- Fast computation of orthonormal bases for RBF spaces through Krylov spaces methods
(draft, Nov. 2014), with G. Santin, BIT Numerical Math. 55(4) (2015), pp. 949--966.
- RBF approximation of large datasets by partition of unity
and local stabilization
(draft, May 2015) with R. Cavoretto et al., Proceedings of CMMSE 2015, Vol. I-II-III-IV, pp. 317--326.
- Polynomial Meshes: Computation and Approximation
(draft, May 2015) with F. Piazzon, A. Sommariva and M. Vianello
Proceedings of CMMSE 2015, Vol. I-II-III-IV, pp. 414--425.
- A few remarks on "On certain Vandermonde determinants
whose variables separate"
(draft, May 2015) with A. P. de Camargo, Dolomites Res. Notes Approx. 8 (2015), pp. 1--11.
- Analytical and experimental FWHM of a gamma camera:
theoretical and practical issues ,
(reviewed version, 2015), with D. Cecchin, D, Poggiali, L. Riccardi, P. Turco, F. Bui, PeerJ 3:e722; DOI 10.7717/peerj.722 (2015).
- On the constrained Mock-Chebyshev least squares,
(draft Nov. 2014) with F. Dell'Accio and M. Mazza, J. Comput. Appl. Math. 280 (2015), pp. 94--109.
Online version here
2014
- Multivariate Christoffel functions and
hyperinterpolation
draft, with A. Sommariva and M. Vianello, Dolomites Res. Notes Approx. Vol. 7 (2014), pp. 26--33.
- Fekete Type Points for Ridge Function Interpolation and Hyperbolic Potential Theory
with L. Bos and N. Levenberg, Publ. Math. Inst. (Beograd), Vol. 110 (2014), pp. 41-48.
- Proceedings of the workshop Multivariate Approximation 2013 .
Guest editor of the
Special issue of Dolomites Res. Notes Approx. Vol. 7 (2014).
- On certain multivariate Vandermonde determinants whose variables separate
draft, with K. Usevich, Linear Alg. Appl., Vol. 449 (2014), pp. 17--27.
2013
- Polynomial approximation on pyramids, cones and solids of rotation
draft, with M. Vianello, Dolomites Res. Notes Approx, Proceedings DWCAA12, Vol. 6 (2013), pp. 20--26
Matlab package for 3-dimensional WAMs: 3dWAM
- A new stable basis for radial basis function interpolation
draft, with G. Santin, J. Comp. Appl. Math., Vol. 253 (2013), pp. 1--13. online
- Bounding the Lebesgue constant of Berrut's rational interpolant
at general nodes
draft, with L. Bos, K. Hormann and J. Sidon, J. Approx. Theory Vol. 169 (2013), pp. 7--22. most cited of JAT 2018
2012
- Polynomial approximation and cubature
at approximate Fekete and Leja points of the cylinder
draft, with M. Marchioro and A. Sommariva, Appl. Math. Comput.
Vol. 218(21), pp. 10617-10629
- On the Lebesgue constant of
barycentric rational interpolation at equidistant nodes
draft, with L. Bos, K. Hormann and G. Klein, Numer. Math. 121(3) 2012, 461-471
- A mathematical view of matching food and
wine
draft, Int. J. Contemp. Math. Sciences (7) 2012, no. 33, 1639 - 1652
Matlab files.
-
Barycentric rational interpolation at quasi-equidistant nodes
draft, with K. Hormann and G. Klein, Dolomites Research Notes Approx, Vol 5, 2012, pp. 1--6
2011
- On the Whittaker--Shannon sampling
by means of Berrut's rational interpolant and its extension by Floater and Hormann
draft, with L. Bos, East J. Approx. 17(3) (2011), pp. 267--284
- On optimal points for interpolation by univariate exponential functions
draft, with L. Bos, Dolomites Research Notes on Approx. (DRNA), Vol. 4 (2011), pp. 8--12.
-
Dolomites Research Notes on Approximation (DRNA), Vol. 4, Special Issue for the
Proceedings of Robert Schaback's 65th birthday, pp. 63,
Guest editors: M. Buhmann, S. De Marchi and G. Plonka-Hock.
- On Multivariate Newton Interpolation
at Discrete Leja Points
draft, with L. Bos, A. Sommariva and M. Vianello, Dolomites Res. Notes Approx, Vol. 4 (Proceedings of Robert Schaback's 65th birthday), pp. 15--20.
- On the Lebesgue constant of Berrut's rational interpolant
at equidistant nodes
draft, with L. Bos and K. Hormann, J. Comput. Appl. Math. 236 (2011), pp. 504--510.
-
Padua2DM: fast interpolation and cubature at the Padua points in
Matlab/Octave
draft, with M. Caliari, A.
Sommariva and M. Vianello, Numer. Algorithms Vol. 56(1), 2011, pp. 45--60,
on-line
-
Weakly Admissible Meshes
and Discrete Extremal Sets
draft, with L. Bos, A. Sommariva and M. Vianello
Numer. Math. Theor. Meth. Appl. Vol. 4(1), 2011, pp. 1--12
2010
-
Computing multivariate Fekete
and Leja points by numerical linear algebra
draft, with L. Bos, A. Sommariva and M. Vianello
SIAM J. Num. Anal. Vol. 48(5), 2010, pp. 1984-1999.
Available on line: here
-
Stability of Kernel-Based Interpolation
draft, with R. Schaback
Adv. Comput. Math. Vol. 32(2), 2010, p. 155-161
available on
line.
Examples and more
These are the examples and the figures illustrating the results
of the paper Stability of Kernel-Based Interpolation.
2009
-
Nonstandard kernels and their Applications
draft, with R. Schaback.
DRNA (Dolomites Research Notes on Approximations) Vol. 2, 2009, pp. 16-43.
Matlab and Maple files.
-
On the Vandermonde Determinant of Padua-like Points
draft, with L. Bos and S. Waldron
an Open Problem for
DRNA (Dolomites Research Notes on Approximation), Vol. 2, 2009, pp. 1-15.
-
Geometric greedy and greedy points for RBF
interpolation
Draft. Proceedings of the 9th CMMSE (Gijon, Spain, July 2009), Vol. II, pp. 381--392
Editors: P. Alonso, S. Oharu, E. Venturino and B. A. Wade.
-
A numerical code for fast interpolation and cubature at the Padua points
draft, with M. Caliari, A. Sommariva and M. Vianello.
Proceedings of the 9th CMMSE (Gijon, Spain, July 2009), Vol. I, p. 218-228.
Editors: P. Alonso, S. Oharu, E. Venturino and B. A. Wade.
-
New cubature formulae and hyperinterpolation in three variables
draft, with M. Vianello and Y. Xu.
BIT Numerical Mathematics, Vol. 49(1) 2009, 55-73.
on line
2008
-
Bivariate Lagrange interpolation at the Padua points:
computational aspects
draft, with M. Caliari and M. Vianello
J. Comput. Appl. Math., Vol. 221 2008, 284-292.
-
Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on
Bivariate
Domains
draft, with M. Caliari and M. Vianello
ACM Trans. Math. Software, Vol. 35(3), Article 21, 11 pages, 2008.
-
Hyperinterpolation in the cube
draft, with M. Caliari and M. Vianello
Comput. Math. Appl., Vol. 55(11) 2008, 2490-2497.
-
Univariate Radial Basis Functions with Compact Support Cardinal
Functions
draft, with L. Bos
East J. Approx., Vol. 14(1) 2008, 69-80.
2007
-
Bivariate Lagrange interpolation at the Padua points: the
ideal theory approach
preprint, with L. Bos, M. Vianello and Y. Xu
Numer. Math., 108(1) (2007), 43-57.
-
Hyperinterpolation on the square
preprint, with M. Caliari and M. Vianello
J. Comput. Appl. Math. 210(1-2) (2007), 78-83
-
Mathematics and wine
preprint
Appl. Math. Comput. 192 (2007), 180-190
Some comments to the paper bt written by Nicoló Regazzoni in
bargiornale.it, 22 October 2007
2006
-
Polynomials arising in factoring generalized Vandermonde determinants III
:computation of their roots
preprint, with M. Morandi Cecchi
Neural, Parallel and
Scientific Computations 14 (2006), 25--38
-
Parametric method for global optimization in Hilbert Spaces
preprint, with I. Raykov
J. of Optim.
Theory and Applications (JOTA) 130(3) (2006), 411--430
-
Hyper2d: a numerical code for
hyperinterpolation on
rectangles
preprint, with M. Caliari, R.
Montagna and M. Vianello
Appl. Math. Comput. 183 (2006), 1138--1147
-
Bivariate Lagrange interpolation at the Padua points: the
generating curve approach
preprint, with L. Bos, M. Caliari, M. Vianello and Y. Xu
J. Approx. Theory 143 (2006), 15--25
classified in the TOP 25 Hottest Articles of JAT, Oct.-Dec. 2006
-
Bivariate interpolation at Xu points: results, extensions and
applications
preprint, with L. Bos, M. Caliari and M. Vianello
Electron. Trans. Numer. Anal. 25 (2006), 1--16
-
On the Lebesgue constant for the Xu interpolation formula
preprint, with L. Bos and M. Vianello
J. Approx. Theory 141 (2006), 134--141
classified in the TOP 25 Hottest Articles of JAT, July-Sept. 2006
-
A numerical study of the Xu polynomial interpolation formula
in two variables
preprint, with L. Bos, M. Caliari and M. Vianello
Computing 76(3-4)(2006), 311--324
2005
-
Bivariate polynomial interpolation on the square at new nodal sets
preprint, with M. Caliari and M. Vianello
Appl. Math. Comput. 165(2) (2005), 261--274
-
Near-Optimal
Data-independent Point Locations for Radial Basis
Function Interpolation
preprint, with R. Schaback and H. Wendland
Adv. Comput. Math. 23(3) (2005), 317--330
-
Sets of Near-Optimal Points for Interpolation on the Square
preprint
APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY
Proceedings of the 7th Conference, Venice (Italy), 20 - 24 September 2004
Ed. M. Primicerio et al., pp. 45-55 (2005)
2004
-
On Leja sequences: some results and applications
preprint
Appl. Math. Comput. 152(3) (2004), 621-647
-
On blossoming in integer Müntz spaces
preprint, with C. Roveredo
Int. Math. J. 5(1) (2004), 61-66
2003
-
On optimal center locations for radial basis
interpolation: computational aspects
preprint
Rend. Sem. Mat. Torino, 61(3) (2003), 343-358
-
Fast evaluation of
discrete integral operators by Chebyshev and Leja polynomial approximation
preprint, with M. Vianello
"Constructive Function Theory", Varna 2002 (B. Bojanov,
Ed.),pp. 347-353, DARBA Sofia 2003.
2002
-
On
the limit under scaling of
polynomial Lagrange interpolation on analytic manifolds
preprint, with L. Bos
Rend. Circolo Matematico Palermo, Serie II, Suppl. 68 (2002), 303-314
-
An interpolant defined by subdivision and the analysis of the error
preprint, with A. Ligun, A. Schumeiko and S. Timchenko
J. Comput. Appl. Math. 145(1) (2002), 71-88
-
Polynomials arising in factoring generalized
Vandermonde determinants II: a condition for monicity
preprint
Appl. Math. Lett. 15(5) (2002), 627-632
2001
-
Approximating the approximant : a numerical
code for the polynomial compression of discrete integral operators
preprint, with M. Vianello
Numer. Algorithms 28 (2001), 101-116
-
Polynomials arising in factoring generalized
Vandermonde determinants: an algorithm for computing their coefficients
preprint
Math. Comput. Modelling 34 (2001), 271-281
1993-2000
-
Fekete points for bivariate polynomials
restricted to y=xm
preprint, with L. Bos
East J. Approx. 6(2) (2000), 189-200
-
On
computing the factors of generalized
Vandermonde determinants
In Recent Advances in Applied and Theoretical Mathematics
Math. Comput. Sci. Eng., World Sci. Eng. Soc. Press, (2000), 140-144
-
Limiting values under scaling of the Lebesgue function for
polynomial interpolation on spheres.
preprint, with L. Bos
J. Approx. Theory 96(2) (1999), 366-377
-
A Package for Representing C1Interpolating
Surfaces: Application to the Lagoon of Venice's Bed
preprint, with D. Fasoli and M. Morandi Cecchi
Numer. Algorithms 20(2-3) (1999), 197-215
-
On
computing derivatives for C1
interpolating schemes: an optimization
preprint
Computing 60 (1)(1998), 29--53
-
Peano's kernel theorem for vector-valued functions: a weak version in normed spaces
preprint, with M. Vianello
Numer. Func. Anal. Optim. 18 (1&2)(1997), 65--74
-
Peano's kernel theorem for vector-valued functions and some applications
preprint, with M. Vianello
Numer. Func. Anal. Optim. 17 (1&2)(1996), 57--64
-
Reference Functional and Characteristic
Space for Lagrange and Bernstein Operators
Abstract, with M. Morandi Cecchi
Approx. Theory Appl. (N.S.) 11(4) (1995), 6-14
-
The polynomial approximation in the
finite element method
preprint, with M. Morandi Cecchi
J. Comput. Appl. Math. 57 (1-2) (1995), 99-114
-
Can Irregular Subdvisions Preserve Convexity ?
abstract, with Morandi Cecchi
Approximation Theory, wavelets and applications,
NATO Adv. Sci. Inst. Ser. C Math. Phys.Sci. 454
Kluwer Acad. Publi. (1995), 325-334
- Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems
with M. Vianello and R. Zanovello
In Mathematics of Computation 1943-1993: a half century of computational mathematics
Proc. Sympos. Appl. Math. (48) (1994), 281--285
- Fractal interpolation functions for a class of finite
elements
with M. Morandi Cecchi
In Wavelets, images and suface fitting
A. K. Peters, Wellesley (1994), 189--196
- Inverse kinematics robot calibration by spline functions.
with F. Agrilli and A. Doria
Appl. Math. Modelling 17(9) (1993)
Relevant technical reports
-
Stability constants for kernel-based interpolation processes
with R. Schaback
University of Verona, RR 59/2008.
-
A study on Premixed Laminar Flames
with G. Argentini, M. Caliari and S. Zuccher
University of Verona, RR 46/2006.
-
Generalized Vandermonde determinants, Toeplitz matrices and Schur functions
Universitaet Dortmund, Ergebnisberichte Angewandte Mathematik, 176/1999.
-
LABSUP: a LAboratory
for Bivariate C1 SUrfaces and Patches
with Damiano Fasoli and Maria Morandi Cecchi
University of Padova, RI 9/1996.
-
The Dyadic Iterative Interpolation Method and Some Extensions
with M. Morandi Cecchi
University of Padova, RI 10/1994
Translation
-
On the systems of Fekete-points of an arc of circumference
preprint, by B. Germanski. Tranlation done with L. Brutman.
East J. Approx. 8(4), 2002, 511-524
Books
-

Exercises of Numerical Calculus
I Edizione 2017, pp. 122, ISBN: 978-88-986485-3-5
Editrice La Dotta-Bologna
-

Meshfree Approximation for Multi-Asset European and American Option Problems
I Edizione 2012, pp. 92, ISBN: 978-88-548515-1-1
Editrice Aracne-Roma
-

Appunti di Calcolo Numerico (in Italian)
II Edizione 2016, pp. 260, ISBN: 978-88-748893-9-6
Editrice Esculapio-Bologna
-

Funzioni splines univariate
Editrice Universitaria Udinese FORUM (2001)
For copies you must contact the publisher at the following
address: Via Larga, 38 - 33100 Udine, tel. 0432 26001.
-

Approssimazione e Interpolazione su "Simplices": Caratterizzazioni,
Metodi ed Estensioni
Ph.D. thesis (in Italian, 1994).
The thesis is available at the Florence national library
here
Software
-
The LABSUP
package at the Netlib
-
Bivariate polynomial interpolation software and miscellanea
Miscellanea Mathematics
- Il paradosso francese
in MaddMaths, MAtematica Divulgazione Didattica, 21 Dec. 2011.
- Simai per la divulgazione, l'angolo arguto: Il paradosso francese
- From Matematicamente of Mathesis - Verona:
nr. 113
nr. 118
Miscellanea: articles in local magazines, weekly, blogs, e-journals (in Italian)
- La Difesa del Popolo (Oct. 2012):
AC: la scelta reliogiosa é restrittiva? Intervista.
- Toniolo Ricerca (Nov. 2011):
Multiculturalitè e patto costituzionale nei 150 anni dell'unità d'Italia .
- Lettera Diocesana 2011/17:
Openfield 2011: Editoriale
- La Difesa del Popolo (Ago. 2011):
Openfield 2011: Multiculturalit?? e patto costituzionale. Intervista.
- La Difesa del Popolo (Mag. 2011): Laici e impegno sociopolitico
- Toniolo Ricerca (Mag. 2011): Univeneto, si parte!.
- La Difesa del Popolo (Apr. 2011): Quando le ferite
non minano la dignità
- Toniolo Ricerca (Dic. 2010):
Universo Università.
- Blog della Strada del Vino dei Colli Euganei Gocce di matematica??serata con i vini Severi
- La Difesa del Popolo (Mar. 2011): 17 marzo: una festa poco sentita
- La Difesa del Popolo (Feb. 2010): Cristiani in politica
- La Difesa del Popolo (Nov. 2009): Riforma Università
- From Blog
Andrea Scanzi - Feb. 2008
- La
Piazza del Conselvano - Feb. 2008
- From the
Sommelier Veneto 1/08
- From the
Sommelier Veneto 1/07