Recent papers (2010-2012)


  1. "Computing almost minimal formulas on the square", J. Comput. Appl. Math. 236 (2012), 4296-4302, (with M. Festa). [PDF]


  2. "Algebraic cubature by linear blending of elliptical arcs", submitted to Appl. Num. Math. (minor revision), (with G. Da Fies and M. Vianello) [PDF] [MATLAB CODES (zip file)]


  3. "Fast variants of the Golub and Welsch algorithm for symmetric weight functions", submitted, (with G. Meurant). [PDF] [MATLAB CODES (zip file)]


  4. "Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions", Comput. Math. Appl., Volume 65, Issue 4, February 2013, Pages 682Ð693. [PDF] [MATLAB CODES (zip file)] DOI: 10.1016/j.camwa.2012.12.004


All Papers


  1. "Approximating fixed-points of decreasing operators in spaces of continuous functions'' (with M.Vianello), "Numerical Functional Analysis and Optimization'' , Volume 19, n. 5/6 (1998), 635-646. [PS]


  2. "Constructive analysis of purely integral Boltzmann models'', (with M.Vianello) "Journal of Integral Equations and Applications'' , 11 (1999), 393-404. [PS]


  3. "Constructive approximation for a class of perturbed Hammerstein integral equations'' (with M.Vianello), "Nonlinear Analysis'', n. 41 (2000), 177-185. [PS]


  4. "Computing positive fixed points of decreasing Hammerstein operators by relaxed iterations''(with M.Vianello), "Journal of Integral Equations and Applications'' , 12 (2000), 95-112. [PS]


  5. "Relaxed Picard-like methods for nonlinear integral equations arising in transport theory'' (with M.Vianello and E.Facchinello), " Applied and Industrial Mathematics. Venice 2, 1998'', Kluwer Academic Publishers, Dordrecht (2000).


  6. "Positive multiplication preserves dissipativity in commutative C* - algebras'' (with M.Vianello), " J. Inequal. Appl.'', 6 (2001), 247-251. [PDF]


  7. "Analisi costruttiva e numerica per una classe di equazioni di Hammerstein della teoria del trasporto'' Bollettino UMI, Supplemento Speciale Tesi di Dottorato. In italian. [PS]


  8. "Fast summation of power series with coefficients analytic at infinity'' (with Marco Vianello and Renato Zanovello), "Numerical Algorithms'', 27 (2001), 77-87.


  9. "Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators'' (with A. Mardegan, M.Vianello and R. Zanovello), ANACM 1, No.2, 524 (2004), 123-128. [PDF]


  10. "A fast Nystrom-Broyden solver by Chebyshev compression'', "Numerical Algorithms'', 38 (2005), 47-60. [PS]


  11. "Adaptive bivariate Chebyshev approximation'', (with Marco Vianello and Renato Zanovello), "Numerical Algorithms'', 38 (2005), 70-94. [PS]


  12. "Quadrature over the sphere'', (with Kendall Atkinson), "Electronic Transactions in Numerical Analysis", 20 (2005), 104-118. [PDF1][PDF2] [PDF3]


  13. "On the numerical solution of some semilinear elliptic problems II'', (with Kendall Atkinson), "Computing", 74 (2005), 159-175. [PDF]


  14. "Numerical cubature on scattered datas by Radial Basis Functions'', (with Marco Vianello), "Computing" 76 (2005), 295-310. Preprint UNSW, AMR05_16. [PDF]


  15. "Integration by RBF over the Sphere'', (with R.S. Womersley). Preprint UNSW, AMR05_17. [PDF]


  16. "Meshless cubature by Green's formula'', (with M. Vianello), "Applied Mathematics and Computation", Volume 183, Issue 2, 15 December 2006, 1098-1107, [PDF].


  17. "Product Gauss cubature over polygons based on Green's integration formula", (with M. Vianello), "BIT Numerical Mathematics", 47 (2007), 441-453 [PDF].


  18. "Approximation on the sphere using radial basis functions plus polynomials'', (with I.H. Sloan), "Advances in Computational Mathematics", Volume 29, Number 2 / August (2008), 147-177 [PDF].


  19. "Meshless cubature over the disk by Thin-Plates Splines'', (with A. Punzi and M. Vianello), "Journal of Computational and Applied Mathematics", 221 (2008), 430-436 [PDF].


  20. "Nontensorial Clenshaw-Curtis cubature'', (with M. Vianello and R. Zanovello), "Numerical Algorithms", 49 (2008), 409-427 [PDF].


  21. "A numerical code for fast interpolation and cubature at the Padua points . In: J. Vigo Aguiar. Proceedings of the 9th CMMSE. Gijon (Spain), June 30-July 3, 2009, vol. 1, 218-228.


  22. "Gauss-Green cubature and moment computation over arbitrary geometries'', (with M. Vianello), "Journal of Computational and Applied Mathematics", 231 (2009), 886-896, [PDF], [PS].


  23. "Computing approximate Fekete points by QR factorisations of Vandermonde matrices'', [PDF], (with M. Vianello), "Comput. Math. Appl.", 57 (2009), 1324-1336.


  24. "Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points'', [PDF], Math. Comp., 80 (2011), 1601-1621, (with L. Bos, J.P. Calvi, N. Levenberg and M.Vianello)


  25. "Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave'', [PDF], Numer. Algorithms, 56 (2011), 45-60 (with M. Caliari, S. De Marchi and M.Vianello)


  26. "Approximate Fekete points for weighted polynomial interpolation'', [PDF], Electron. Trans. Numer. Anal., 37 (2010), 1-22 (with M.Vianello)


  27. "Computing multivariate Fekete and Leja points by numerical linear algebra'', [PDF], SIAM J. Numer. Anal., 48 (2010), 1984-1999 (with L. Bos, S. De Marchi and M.Vianello)


  28. "Weakly Admissible Meshes and Discrete Extremal Sets'', [PDF], Numer. Math. Theory Methods Appl, 4 (2011) 1-12, (with L. Bos, S. De Marchi and M.Vianello)


  29. "Least-squares polynomial approximation on weakly admissible meshes: disk and triangle'', [PDF], J. Comput. Appl. Math. 235 (2010), 660-668, (with L. Bos and M. Vianello).


  30. "An algebraic cubature formula on curvilinear polygons'', Appl. Math. Comput. 217 (2011), 10003-10015, [PDF], (with G. Santin and M. Vianello).


  31. "Polynomial interpolation and cubature over polygons", J. Comput. Appl. Math. 235 (2011), 5232-5239 , (with M. Gentile and M. Vianello). [PDF]


  32. "On multivariate Newton interpolation at Discrete Leja points", Dolomites Res. Notes Approx. DRNA 4 (2011), 15-20, (with L. Bos, S. De Marchi and M. Vianello). [PDF]


  33. "Computing Lebesgue and Fekete points in Matlab", J. Comput. Appl. Math. 236 (2012), 2477-2486, (with M. Briani and M. Vianello). [PDF]


  34. "Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder", Appl. Math. Comput. Vol. 218 (2012), 10617-10629 (with S. De Marchi and M. Marchioro). [PDF]


  35. "On the generation of symmetric Lebesgue points in the triangle", J. Comput. Appl. Math. 236 (2012), 4925-4932, (with F. Rapetti and M. Vianello). [PDF]


  36. "Computing almost minimal formulas on the square", J. Comput. Appl. Math. 236 (2012), 4296-4302, (with M. Festa). [PDF]


  37. "Algebraic cubature by linear blending of elliptical arcs", submitted to Appl. Num. Math. (minor revision), (with G. Da Fies and M. Vianello) [PDF] [MATLAB CODES (zip file)]


  38. "Fast variants of the Golub and Welsch algorithm for symmetric weight functions", submitted, (with G. Meurant). [PDF] [MATLAB CODES (zip file)]


  39. "Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions", Comput. Math. Appl., Volume 65, Issue 4, February 2013, Pages 682Ð693. [PDF] [MATLAB CODES (zip file)] DOI: 10.1016/j.camwa.2012.12.004