Back to Home Page

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

  1. A Note on the Direct Approximation of Derivatives in
    Rational Radial Basis Functions Partition of Unity Method and
    its Application to the Convection-Diffusion Equations
    draft (January 2025), with Vahid Mohammadi.
  2. Fast-decaying polynomial reproduction
    draft (November 2024), with Giacomo Cappellazzo.
  3. Lp Convergence of Kantorovich-type max-min neural network operators
    draft (April 2024), with Ismail Aslan and Wolfgang Erb.

    2025

  4. On the Lebesgue constant of the Morrow-Patterson points,
    draft (Apr. 2025), with Leokadia Bialas-Ciez and Tomasz Beberok
    accepted by Constr. Approximation.

    2024

  5. 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
  6. 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.
  7. 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)
  8. 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.
  9. 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
  10. 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


  11. 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
  12. 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
  13. 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......
  14. 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.
  15. 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


  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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

  23. 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
  24. On "marcov" inequalities
    (Oct. 2021), with L. Bos and A. Sommariva,
    Dolomites Res. Notes on Approx. 14 (2021), pp. 92-100.
  25. 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
  26. 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
  27. 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.
  28. 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
  29. Quadrature at fake nodes
    with G. Elefante, E. Perracchione and D. Poggiali
    Dolomites Res. Notes Approx. 14 (2021), Special Issue MATA2020, p.39-45
  30. 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.
  31. Multivariate approximation at fake nodes
    draft, with F. Marchetti, E. Perracchione and D. Poggiali,
    Appl. Math. Comput. 391, 125628 (2021) online
  32. 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

  33. 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.
  34. 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.
  35. Jumping with Variably Scaled Discontinuos Kernels (VSDK)
    with F. Marchetti and E. Perracchione.
    BIT Numerical Mathematics 60 (2020), pp. 441-463, online version
  36. 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
  37. 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
  38. 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
  39. 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
  40. On the Convergence of the Rescaled Localized Radial Basis Function Method
    draft (July 2019), with H. Wendland.
    Appl. Math. Letters 99 (2020), 105996 online
  41. 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

  42. 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.
  43. In the footsteps of Copernicus: Padova and Uppsala
    draft, with M. Klimek,
    Irish Math. Soc. Bulletin 83 (2019), pp 19-27
  44. 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
  45. 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
  46. 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.
  47. 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

  48. Image Reconstruction from Scattered Radon Data with Weighted Positive Definite Kernel Functions
    draft, with A. Iske and G. Santin,
    Calcolo 55(2) (2018), doi
  49. 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
  50. 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

  51. 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 .
  52. 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
  53. 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.
  54. 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.
  55. Partition of unity interpolation using stable kernel-based techniques
    (draft), with R. Cavoretto et al.,
    Appl. Numer. Math. 116 (2017), pp. 95--107, online.
  56. 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
  57. Trivariate polynomial approximation on Lissajous curves
    with L. Bos and M. Vianello.
    IMA J. Numer. Analysis (2017) 37, pp. 519--541.

    2016

  58. 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.
  59. 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.
  60. 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

  61. 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.
  62. 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.
  63. 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.
  64. 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.
  65. 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).
  66. 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

  67. Multivariate Christoffel functions and hyperinterpolation
    draft, with A. Sommariva and M. Vianello, Dolomites Res. Notes Approx. Vol. 7 (2014), pp. 26--33.
  68. 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.
  69. Proceedings of the workshop Multivariate Approximation 2013 .
    Guest editor of the Special issue of Dolomites Res. Notes Approx. Vol. 7 (2014).
  70. On certain multivariate Vandermonde determinants whose variables separate
    draft, with K. Usevich, Linear Alg. Appl., Vol. 449 (2014), pp. 17--27.

    2013

  71. 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
  72. A new stable basis for radial basis function interpolation
    draft, with G. Santin, J. Comp. Appl. Math., Vol. 253 (2013), pp. 1--13. online
  73. 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

  74. 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
  75. 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
  76. A mathematical view of matching food and wine
    draft, Int. J. Contemp. Math. Sciences (7) 2012, no. 33, 1639 - 1652
    Matlab files.
  77. 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

  78. 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
  79. 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.
  80. 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.
  81. 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.
  82. 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.
  83. 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
  84. 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

  85. 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
  86. 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

  87. 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.
  88. 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.
  89. 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.
  90. 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.
  91. 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

  92. 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.
  93. 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.
  94. Hyperinterpolation in the cube
    draft, with M. Caliari and M. Vianello
    Comput. Math. Appl., Vol. 55(11) 2008, 2490-2497.
  95. Univariate Radial Basis Functions with Compact Support Cardinal Functions
    draft, with L. Bos
    East J. Approx., Vol. 14(1) 2008, 69-80.

    2007

  96. 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.
  97. Hyperinterpolation on the square
    preprint, with M. Caliari and M. Vianello
    J. Comput. Appl. Math. 210(1-2) (2007), 78-83
  98. 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

  99. 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
  100. Parametric method for global optimization in Hilbert Spaces
    preprint, with I. Raykov
    J. of Optim. Theory and Applications (JOTA) 130(3) (2006), 411--430
  101. Hyper2d: a numerical code for hyperinterpolation on rectangles
    preprint, with M. Caliari, R. Montagna and M. Vianello
    Appl. Math. Comput. 183 (2006), 1138--1147
  102. 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
  103. 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
  104. 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
  105. 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

  106. 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
  107. 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
  108. 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

  109. On Leja sequences: some results and applications
    preprint
    Appl. Math. Comput. 152(3) (2004), 621-647
  110. On blossoming in integer Müntz spaces
    preprint, with C. Roveredo
    Int. Math. J. 5(1) (2004), 61-66

    2003

  111. On optimal center locations for radial basis interpolation: computational aspects
    preprint
    Rend. Sem. Mat. Torino, 61(3) (2003), 343-358
  112. 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

  113. 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
  114. 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
  115. Polynomials arising in factoring generalized Vandermonde determinants II: a condition for monicity
    preprint
    Appl. Math. Lett. 15(5) (2002), 627-632

    2001

  116. Approximating the approximant : a numerical code for the polynomial compression of discrete integral operators
    preprint, with M. Vianello
    Numer. Algorithms 28 (2001), 101-116
  117. Polynomials arising in factoring generalized Vandermonde determinants: an algorithm for computing their coefficients
    preprint
    Math. Comput. Modelling 34 (2001), 271-281

    1993-2000

  118. Fekete points for bivariate polynomials restricted to y=xm
    preprint, with L. Bos
    East J. Approx. 6(2) (2000), 189-200
  119. 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
  120. 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
  121. 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
  122. On computing derivatives for C1 interpolating schemes: an optimization
    preprint
    Computing 60 (1)(1998), 29--53
  123. 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
  124. 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
  125. 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
  126. The polynomial approximation in the finite element method
    preprint, with M. Morandi Cecchi
    J. Comput. Appl. Math. 57 (1-2) (1995), 99-114
  127. 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
  128. 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
  129. 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
  130. Inverse kinematics robot calibration by spline functions.
    with F. Agrilli and A. Doria
    Appl. Math. Modelling 17(9) (1993)

    Relevant technical reports

  131. Stability constants for kernel-based interpolation processes
    with R. Schaback
    University of Verona, RR 59/2008.
  132. A study on Premixed Laminar Flames
    with G. Argentini, M. Caliari and S. Zuccher
    University of Verona, RR 46/2006.
  133. Generalized Vandermonde determinants, Toeplitz matrices and Schur functions
    Universitaet Dortmund, Ergebnisberichte Angewandte Mathematik, 176/1999.
  134. LABSUP: a LAboratory for Bivariate C1 SUrfaces and Patches
    with Damiano Fasoli and Maria Morandi Cecchi
    University of Padova, RI 9/1996.
  135. The Dyadic Iterative Interpolation Method and Some Extensions
    with M. Morandi Cecchi
    University of Padova, RI 10/1994

    Translation

  136. 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



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


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


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


  140. 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.


  141. 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

  1. The LABSUP package at the Netlib
  2. Bivariate polynomial interpolation software and miscellanea

    Miscellanea Mathematics

  1. Il paradosso francese in MaddMaths, MAtematica Divulgazione Didattica, 21 Dec. 2011.
  2. Simai per la divulgazione, l'angolo arguto: Il paradosso francese
  3. From Matematicamente of Mathesis - Verona:
    nr. 113
    nr. 118

    Miscellanea: articles in local magazines, weekly, blogs, e-journals (in Italian)

  4. La Difesa del Popolo (Oct. 2012): AC: la scelta reliogiosa é restrittiva? Intervista.
  5. Toniolo Ricerca (Nov. 2011): Multiculturalitè e patto costituzionale nei 150 anni dell'unità d'Italia .
  6. Lettera Diocesana 2011/17: Openfield 2011: Editoriale
  7. La Difesa del Popolo (Ago. 2011): Openfield 2011: Multiculturalit?? e patto costituzionale. Intervista.
  8. La Difesa del Popolo (Mag. 2011): Laici e impegno sociopolitico
  9. Toniolo Ricerca (Mag. 2011): Univeneto, si parte!.
  10. La Difesa del Popolo (Apr. 2011): Quando le ferite non minano la dignità
  11. Toniolo Ricerca (Dic. 2010): Universo Università.
  12. Blog della Strada del Vino dei Colli Euganei Gocce di matematica??serata con i vini Severi
  13. La Difesa del Popolo (Mar. 2011): 17 marzo: una festa poco sentita
  14. La Difesa del Popolo (Feb. 2010): Cristiani in politica
  15. La Difesa del Popolo (Nov. 2009): Riforma Università
  16. From Blog Andrea Scanzi - Feb. 2008
  17. La Piazza del Conselvano - Feb. 2008
  18. From the Sommelier Veneto 1/08
  19. From the Sommelier Veneto 1/07