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Publications and preprints of the CAA group 2005-present
(downloadable pdf)


    submitted

  1. Discrete norming inequalities on sections of sphere, ball and torus
    draft - A. Sommariva and M. Vianello
  2. Global polynomial optimization by norming sets on sphere and torus
    draft - M. Vianello
  3. Nearly optimal nested sensors location for polynomial regression on complex geometries
    draft - A. Sommariva and M. Vianello
  4. On multivariate Marcinkiewicz-Zygmund type inequalities
    draft - S. De Marchi and A. Kroó
  5. Pluripotential Numerics
    arXiv preprint 1704.03411 - F. Piazzon
  6. An elementary approach to polynomial optimization on polynomial meshes
    draft - M. Vianello
  7. Laplace-Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex and the sphere
    draft - F. Piazzon
  8. Mesh-based polynomial optimization on convex bodies
    draft - F. Piazzon and M. Vianello
  9. Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory
    arXiv preprint 1701.05613 - L. Bos and N. Levenberg
  10. Image Reconstruction from Scattered Radon Data by Weighted Positive Definite Kernel Functions
    draft - S. De Marchi, A. Iske and G. Santin
  11. Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz s-energy points
    draft - S. De Marchi and G. Elefante
  12. Stability inequalities for Lebesgue constants via Markov-like inequalities
    draft - F. Piazzon and M. Vianello

    to appear

  13. Subperiodic Trigonometric Hyperinterpolation
    draft - G. Da Fies, A. Sommariva and M. Vianello
    to appear in: "Festschrift for the 80th Birthday of Ian Sloan" (invited paper), J. Dick, F.Y. Kuo, H. Wozniakowski Eds., Springer, 2018
  14. Subperiodic trigonometric subsampling: a numerical approach
    draft - A. Sommariva and M. Vianello
    Appl. Anal. Discrete Math., to appear
  15. A rescaled method for RBF approximation
    preprint - S. De Marchi, A. Idda and G. Santin
    Proceedings of Approximation Theory 15 (San Antonio, May 2015), to appear
  16. A weighted extremal function and equilibrium measure
    arXiv preprint 1505.07749 - L. Bos, N. Levenberg, S. Ma`u and F. Piazzon
    Math. Scand., to appear
  17. Numerical quadrature on the intersection of planar disks
    preprint - A. Sommariva and M. Vianello
    FILOMAT, to appear
  18. Lissajous sampling and spectral filtering in MPI applications: the reconstruction algorithm for reducing the Gibbs phenomenon
    preprint - S. De Marchi, W. Erb and F. Marchetti
    Extended Abstract accepted at SampTA 2017, IEEE Xplore Digital Library, in press
  19. Caratheodory-Tchakaloff Least Squares
    preprint - F. Piazzon, A. Sommariva and M. Vianello
    Extended Abstract accepted at SampTA 2017, IEEE Xplore Digital Library, in press

    2017

  20. A note on total degree polynomial optimization by Chebyshev grids
    preprint - F. Piazzon and M. Vianello
    Optim. Lett., published online 01 July 2017
  21. Some results on the rational Bernstein-Markov property in the complex plane
    preprint - F. Piazzon
    Comput. Methods Funct. Theory, published online 11 February 2017
  22. Numerical hyperinterpolation over nonstandard planar regions
    preprint - A. Sommariva and M. Vianello
    Math. Comput. Simulation 141 (2017), 110--120
  23. Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI
    S. De Marchi, W. Erb and F. Marchetti
    Dolomites Res. Notes Approx. DRNA 10(2017), 128--137
  24. On the use of compressed polyhedral quadrature formulas in embedded interface methods
    preprint - Y. Sudhakar, A. Sommariva, M. Vianello and W.A. Wall
    SIAM J. Sci. Comput. 39 (2017), B571-B587
  25. Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere
    P. Leopardi, A. Sommariva and M. Vianello
    Dolomites Res. Notes Approx. DRNA 10 (2017), 18--24
  26. Caratheodory-Tchakaloff Subsampling
    F. Piazzon, A. Sommariva and M. Vianello
    Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14
  27. Polynomial approximation on Lissajous curves in the d-cube
    preprint - L. Bos, S. De Marchi and M. Vianello
    Appl. Numer. Math. 116 (2017), 47--56
  28. Partition of unity interpolation using stable kernel-based techniques
    preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and G. Santin
    Appl. Numer. Math. 116 (2017), 95--107
  29. A Simple Recipe for Modelling a d-cube by Lissajous curves
    L. Bos
    Dolomites Res. Notes Approx. DRNA 10 (2017), 1--4
  30. Trivariate polynomial approximation on Lissajous curves
    preprint - L. Bos, S. De Marchi and M. Vianello
    IMA J. Numer. Anal. 37 (2017), 519--541
  31. INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections
    preprint - M. Caliari and S. Zuccher
    Comput. Phys. Commun. 213 (2017), 197--207
  32. An Orthogonality Property of Legendre Polynomials
    preprint - L. Bos, A. Narayan, N. Levenberg and F. Piazzon
    Constr. Approx. 45 (2017), 65--81
  33. Polynomial approximation and quadrature on geographic rectangles
    preprint - M. Gentile, A. Sommariva and M. Vianello
    Appl. Math. Comput. 297 (2017), 159--179

    2016

  34. A new quasi-Monte Carlo technique based on nonnegative least-squares and approximate Fekete points
    preprint - L. Bittante, S. De Marchi and G. Elefante
    Numer. Math. TMA. 9 (2016), 609--632
  35. Kernel-based Image Reconstruction from Scattered Radon Data
    S. De Marchi, A. Iske and A. Sironi
    Dolomites Res. Notes Approx. DRNA 9 (2016), 19--31
  36. Approximation of eigenfunctions in kernel-based spaces
    preprint - G. Santin and R. Schaback
    Adv. Comput. Math. 42 (2016), 973--993
  37. Jacobi norming meshes
    preprint - F. Piazzon and M. Vianello
    Math. Inequal. Appl. 19 (2016), 1089--1095
  38. Approximating basins of attraction for dynamical systems via stable radial bases
    preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and G. Santin
    AIP Conference Proceedings 1738 (2016), doi:10.1063/1.4952177
  39. The Leja method revisited: backward error analysis for the matrix exponential
    preprint - M. Caliari, P. Kandolf, A. Ostermann and S. Rainer
    SIAM J. Sci. Comput. 38 (2016), A1639--A1661
  40. Optimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of R^d
    preprint - F. Piazzon
    J. Approx. Theory 207 (2016), 241--264
  41. Compressed sampling inequalities by Tchakaloff's theorem
    preprint - M. Vianello
    Math. Inequal. Appl. 19 (2016), 395--400

    2015

  42. Transfinite diameter on curves, Hankel determinants and the moment problem
    preprint - L. Bos and S. Ma`u
    Banach Center Publications 107 (2015), 79--100
  43. Fast computation of orthonormal bases for RBF spaces through Krylov spaces methods
    preprint - S. De Marchi and G. Santin
    BIT Numerical Math. 55 (2015), 949--966
  44. Bernstein-Markov: a survey
    T. Bloom, N. Levenberg, F. Piazzon and F. Wielonsky
    Dolomites Res. Notes Approx. DRNA 8 (2015), 75--91
  45. Application of modified Leja sequences to polynomial interpolation
    L. Bos and M. Caliari
    Dolomites Res. Notes Approx. DRNA 8 (2015), 66--74
  46. A few remarks on "On certain Vandermonde determinants whose variables separate"
    A. Perro de Camargo and S. De Marchi
    Dolomites Res. Notes Approx. DRNA 8 (2015), 1--11
  47. RBF approximation of large datasets by partition of unity and local stabilization
    preprint - R. Cavoretto, S. De Marchi, A. De Rossi, E. Perracchione and G. Santin
    Proceedings of CMMSE 2015, 317--326, ISBN 978-84-617-2230-3, ISSN 2312-0177
  48. Polynomial Meshes: Computation and Approximation
    preprint - S. De Marchi, F. Piazzon, A. Sommariva and M. Vianello
    Proceedings of CMMSE 2015, 414--425, ISBN 978-84-617-2230-3, ISSN 2312-0177
  49. Analytical and experimental FWHM of a gamma camera: theoretical and practical issues
    preprint - D. Cecchin, D, Poggiali, L. Riccardi, P. Turco, F. Bui and S. De Marchi
    PeerJ 3e:722, https://dx.doi.org/10.7717/peerj.722
  50. Compression of multivariate discrete measures and applications
    preprint - A. Sommariva and M. Vianello
    Numer. Funct. Anal. Optim. 36 (2015), 1198--1223
  51. Polynomial fitting and interpolation on circular sections
    preprint - A. Sommariva and M. Vianello
    Appl. Math. Comput. 258 (2015), 410--424
  52. On the constrained Mock-Chebyshev least squares
    preprint - S. De Marchi, F. Dell'Accio and M. Mazza
    J. Comput. Appl. Math. 280 (2015), 94--109

    2014

  53. Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab
    preprint - G. Meurant and A. Sommariva
    Numer. Algorithms 67 (2014), 491--506
  54. Fekete Type Points for Ridge Function Interpolation and Hyperbolic Potential Theory
    preprint - L. Bos S. De Marchi and N. Levenberg
    Publ. Math. Inst. (Beograd) 110 (2014), 41--48
  55. Multivariate Christoffel functions and hyperinterpolation
    S. De Marchi, A. Sommariva and M. Vianello
    Dolomites Res. Notes Approx. DRNA 7 (2014), 26--33
  56. Product Gaussian quadrature on circular lunes
    preprint - G. Da Fies and M. Vianello
    Numer. Math. Theory Methods Appl. 7 (2014), 251--264
  57. On certain multivariate Vandermonde determinants whose variables separate
    preprint - S. De Marchi and K. Usevich
    Linear Algebra Appl. 449 (2014), 17--27
  58. Constructing optimal polynomial meshes on planar starlike domains
    F. Piazzon and M. Vianello
    Dolomites Res. Notes Approx. DRNA 7 (2014), 22--25
  59. Comparison of software for computing the action of the matrix exponential
    preprint - M. Caliari, P. Kandolf, A. Ostermann and S. Rainer
    BIT 54 (2014), 113--128
  60. Norming meshes by Bernstein-like inequalities
    preprint - M. Vianello
    Math. Inequal. Appl. 17 (2014), 929--936
  61. Sub-optimal polynomial meshes on planar Lipschitz domains
    preprint - F. Piazzon and M. Vianello
    Numer. Funct. Anal. Optim. 35 (2014), 1467--1475

    2013

  62. Interpolation on real algebraic curves to polynomial data
    L. Bos and I. Lagu
    Dolomites Res. Notes Approx. DRNA 6 (2013), 1--25
  63. Algebraic cubature by linear blending of elliptical arcs
    preprint - G. Da Fies, A. Sommariva and M. Vianello
    Appl. Numer. Math. 74 (2013), 49--61
  64. Polynomial approximation on pyramids, cones and solids of rotation
    S. De Marchi and M. Vianello
    Dolomites Res. Notes Approx. DRNA 6 (2013), 20--26
  65. A new stable basis for radial basis function interpolation
    preprint - S. De Marchi and G. Santin
    J. Comp. Appl. Math. 253 (2013), 1--13
  66. Small perturbations of polynomial meshes
    preprint - F. Piazzon and M. Vianello
    Appl. Anal. 92 (2013), 1063--1073
  67. Meshfree Exponential Integrators
    preprint - M. Caliari, A. Ostermann and S. Rainer
    SIAM J. Sci. Comput. 35 (2013), A431--A452
  68. A Meshfree splitting method for soliton dynamics in nonlinear Schroedinger equations
    preprint- M. Caliari, A. Ostermann and S. Rainer
    Lect. Notes Comput. Sci. Eng. 89 (2013)
  69. Bounding the Lebesgue constant of Berrut's rational interpolant at general nodes
    preprint - L. Bos, S. De Marchi, K. Hormann and J. Sidon
    J. Approx. Theory 169 (2013), 7--22
  70. Fast construction of Fejer and Clenshaw-Curtis rules for general weight functions
    preprint - A. Sommariva
    Comput. Math. Appl. 65 (2013), 682--693
  71. On the Lebesgue constant of subperiodic trigonometric interpolation
    preprint - G. Da Fies and M. Vianello
    J. Approx. Theory 167 (2013), 59--64

    2012

  72. The transfinite diameter of a real ball and simplex
    preprint - T. Bloom, L. Bos and N. Levenberg
    Ann. Polon. Math. 106 (2012), 83--96
  73. Polynomial Interpolation and Approximation in C^d
    preprint - T. Bloom, L. Bos, J.-P. Calvi and N. Levenberg
    Ann. Polon. Math. 106 (2012), 53--81
  74. Computing almost minimal formulas on the square
    preprint - M. Festa and A. Sommariva
    J. Comput. Appl. Math. 236 (2012), 4296--4302
  75. On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
    preprint - L. Bos, S. De Marchi, K. Hormann and G. Klein
    Numer. Math. 121 (2012), 461--471
  76. Algebraic cubature on planar lenses and bubbles
    G. Da Fies and M. Vianello
    Dolomites Res. Notes Approx. DRNA 5 (2012), 7--12
  77. On the generation of symmetric Lebesgue-like points in the triangle
    preprint - F. Rapetti, A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 236 (2012), 4925--4932
  78. Subperiodic trigonometric interpolation and quadrature
    preprint - L. Bos and M. Vianello
    Appl. Math. Comput. 218 (2012), 10630--10638
  79. Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder
    preprint - S. De Marchi, M. Marchioro and A. Sommariva
    Appl. Math. Comput. 218 (2012), 10617--10629
  80. Trigonometric Gaussian quadrature on subintervals of the period
    preprint - G. Da Fies and M. Vianello
    Electron. Trans. Numer. Anal. 39 (2012), 102--112
  81. Computing Fekete and Lebesgue points: simplex, square, disk
    preprint - M. Briani, A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 236 (2012), 2477--2486
  82. Barycentric rational interpolation at quasi-equidistant nodes
    S. De Marchi, K. Hormann and G. Klein
    Dolomites Res. Notes Approx. DRNA 5 (2012), 1--6
  83. Low cardinality admissible meshes on quadrangles, triangles and disks
    preprint - L. Bos and M. Vianello
    Math. Inequal. Appl. 15 (2012), 229--235

    2011

  84. On the Whittaker--Shannon sampling by means of Berrut's rational interpolant and its extension by Floater and Hormann
    preprint - L. Bos and S. De Marchi
    East J. Approx. 17 (2011), 267--284
  85. On optimal points for interpolation by univariate exponential functions
    L. Bos and S. De Marchi
    Dolomites Res. Notes Approx. DRNA 4 (2011), 8--12
  86. On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
    preprint - L. Bos, S. De Marchi and K. Hormann
    J. Comput. Appl. Math. 236 (2011), 504--510
  87. Meshfree integrators
    preprint - M. Caliari, A. Ostermann, and S. Rainer
    Oberwolfach Reports (2011)
  88. On Multivariate Newton Interpolation at Discrete Leja Points
    L. Bos, S. De Marchi, A. Sommariva and M. Vianello
    Dolomites Res. Notes Approx. DRNA 4 (2011), 15--20
  89. Polynomial interpolation and cubature over polygons
    preprint - M. Gentile, A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 235 (2011), 5232--5239
  90. An algebraic cubature formula on curvilinear polygons
    preprint - G. Santin, A. Sommariva and M. Vianello
    Appl. Math. Comput. 217 (2011), 10003--10015
  91. Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points
    preprint - L. Bos, J.P. Calvi, N. Levenberg, A. Sommariva and M. Vianello
    Math. Comp. 80 (2011), 1601--1621
  92. Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave
    preprint - M. Caliari, S. De Marchi, A. Sommariva and M. Vianello
    Numer. Algorithms 56 (2011), 45--60
  93. Weakly Admissible Meshes and Discrete Extremal Sets
    preprint - L. Bos, S. De Marchi, A. Sommariva and M. Vianello
    Numer. Math. Theory Methods Appl. 4 (2011), 1--12

    2010

  94. Analytic transformations of admissible meshes
    preprint - F. Piazzon and M. Vianello
    East J. Approx. 16 (2010), 313--322
  95. Computing multivariate Fekete and Leja points by numerical linear algebra
    preprint - L. Bos, S. De Marchi, A. Sommariva and M. Vianello
    SIAM J. Numer. Anal. 48 (2010), 1984--1999
  96. On the convergence of optimal measures
    preprint - T. Bloom, L. Bos, N. Levenberg and S. Waldron
    Constr. Approx. 32 (2010), 159--179
  97. On polynomial inequalities on exponential curves in C^n
    preprint - L. Bos, A. Brudnyi and N. Levenberg
    Constr. Approx. 31 (2010), 139--147
  98. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle
    preprint - L. Bos, A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 235 (2010), 660--668
  99. Approximate Fekete points for weighted polynomial interpolation
    preprint - A. Sommariva and M. Vianello
    Electron. Trans. Numer. Anal. 37 (2010), 1--22
  100. On simple approximations to simple curves
    L. Bos and M. Vianello
    Dolomites Res. Notes Approx. DRNA 3 (2010), 1--6
  101. Stability of Kernel-Based Interpolation
    preprint - S. De Marchi and R. Schaback
    Adv. Comput. Math. 32 (2010), 155--161

    2009

  102. On the Vandermonde Determinant of Padua-like Points
    L. Bos, S. De Marchi and S. Waldron
    Dolomites Res. Notes Approx. DRNA 2 (2009), 1--15
  103. Nonstandard Kernels and their Applications
    R. Schaback and S. De Marchi
    Dolomites Res. Notes Approx. DRNA 2 (2009), 16--43
  104. Efficient massively parallel implementation of the ReLPM exponential integrator for advection-diffusion models
    preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
    J. Comput. Appl. Math. 231 (2009), 82--91
  105. Implementation of exponential Rosenbrock-type integrators
    preprint - M. Caliari and A. Ostermann
    Appl. Numer. Math. 59 (2009), 568--581
  106. Gauss-Green cubature and moment computation over arbitrary geometries
    preprint - A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 231 (2009), 886--896
  107. Geometric greedy and greedy points for RBF interpolation
    preprint - S. De Marchi
    Proceedings of the 9th CMMSE (2009), Vol. II, 381--392
  108. A numerical code for fast interpolation and cubature at the Padua points
    preprint - M. Caliari, S. De Marchi, A. Sommariva and M. Vianello
    Proceedings of the 9th CMMSE (2009), Vol. I, 218--228
  109. Computing approximate Fekete points by QR factorizations of Vandermonde matrices
    preprint - A. Sommariva and M. Vianello
    Comput. Math. Appl. 57 (2009), 1324--1336
  110. New cubature formulae and hyperinterpolation in three variables
    preprint - S. De Marchi, M. Vianello and Y. Xu
    BIT Numerical Mathematics 49 (2009), 55--73

    2008

  111. Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains
    preprint - M. Caliari, S. De Marchi and M. Vianello
    ACM Trans. Math. Software 35-3 (2008)
  112. Approximation on the sphere using radial basis functions plus polynomials
    preprint - A. Sommariva and I.H. Sloan
    Adv. Comput. Math. 29 (2008), 147--177
  113. Nontensorial Clenshaw-Curtis cubature
    preprint - A. Sommariva, M. Vianello and R. Zanovello
    Numer. Algorithms 49 (2008), 409--427
  114. Hyperinterpolation in the cube
    preprint - M. Caliari, S. De Marchi and M. Vianello
    Comput. Math. Appl. 55 (2008), 2490--2497
  115. Univariate Radial Basis Functions with Compact Support Cardinal Functions
    preprint - L. Bos and S. De Marchi
    East J. Approx. 14 (2008), 69--80
  116. Bivariate Lagrange interpolation at the Padua points: computational aspects
    preprint - M. Caliari, S. De Marchi and M. Vianello
    J. Comput. Appl. Math. 221 (2008), 284--292
  117. Meshless cubature over the disk by Thin-Plate Splines
    preprint - A. Punzi, A. Sommariva and M. Vianello
    J. Comput. Appl. Math. 221 (2008), 430--436

    2007

  118. Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
    preprint - L. Bos, S. De Marchi, M. Vianello and Y. Xu
    Numer. Math. 108 (2007), 43--57
  119. Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
    preprint - M. Caliari
    Computing 80 (2007), 189--201
  120. The LEM exponential integrator for advection-diffusion-reaction equations
    preprint - L. Bergamaschi, M. Caliari and M. Vianello
    J. Comput. Appl. Math. 210 (2007), 56--63
  121. Product Gauss cubature over polygons based on Green's integration formula
    preprint - A. Sommariva and M. Vianello
    BIT Numerical Mathematics 47 (2007), 441--453
  122. Hyperinterpolation on the square
    preprint - M. Caliari, S. De Marchi and M. Vianello
    J. Comput. Appl. Math. 210 (2007), 78--83

    2006

  123. Meshless cubature by Green's formula
    preprint - A. Sommariva and M. Vianello
    Appl. Math. Comput. 183 (2006), 1098--1107
  124. Hyper2d: a numerical code for hyperinterpolation on rectangles
    preprint - M. Caliari, S. De Marchi, R. Montagna and M. Vianello
    Appl. Math. Comput. 183 (2006), 1138--1147
  125. Comparing Leja and Krylov approximations of large scale matrix exponentials
    preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
    Springer LNCS vol. 3994, 2006 (Proc. of ICCS 2006, Reading, UK), 685--692
  126. Bivariate interpolation at Xu points: results, extensions and applications
    preprint - L. Bos, M. Caliari, S. De Marchi and M. Vianello
    Electron. Trans. Numer. Anal. 25 (2006), 1--16
  127. On the Lebesgue constant for the Xu interpolation formula
    preprint - L. Bos, S. De Marchi and M. Vianello
    J. Approx. Theory 141 (2006), 134--141
  128. A numerical study of the Xu polynomial interpolation formula in two variables
    preprint - L. Bos, M. Caliari, S. De Marchi and M. Vianello
    Computing 76 (2006), 311--324
  129. Numerical cubature on scattered data by radial basis functions
    preprint - A. Sommariva and M. Vianello
    Computing 76 (2006), 295--310
  130. Bivariate Lagrange interpolation at the Padua points: the generating curve approach
    preprint - L. Bos, M. Caliari, S. De Marchi, M. Vianello and Y. Xu
    J. Approx. Theory 143 (2006), 15--25

    2005

  131. Near-Optimal Data-Independent Point Locations for Radial Basis Functions Interpolation
    preprint - S. De Marchi, R. Schaback and H. Wendland
    Adv. Comput. Math. 23 (2005), 317--330
  132. Sets of Near-Optimal Points for Interpolation on the Square
    preprint - S. De Marchi
    APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY
    Proceedings of the 7th Conference, Venice (Italy), 20 - 24 September 2004, Ed. M. Primicerio et al., 45--55
  133. On the Numerical Solution of Some Semilinear Elliptic Problems - II
    preprint - K. Atkinson and A. Sommariva
    Computing 74 (2005), 159--175
  134. Quadrature over the sphere
    preprint - K. Atkinson and A. Sommariva
    Electron. Trans. Numer. Anal. 20 (2005), 104--118
  135. A parallel exponential integrator for large-scale discretizations of advection-diffusion models
    preprint - L. Bergamaschi, M. Caliari, A. Martinez and M. Vianello
    Springer LNCS vol. 3666, 2005 (Proc. of Euro PVM MPI 2005, Sorrento, Italy), 483--492
  136. Adaptive bivariate Chebyshev approximation
    preprint - A. Sommariva, M. Vianello and R. Zanovello
    Numer. Algorithms 38 (2005), no. 1-3, 79--94
  137. Bivariate polynomial interpolation on the square at new nodal sets
    preprint - M. Caliari, S. De Marchi and M. Vianello
    Appl. Math. Comput. 165/2 (2005), 261--274