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Marco Vianello: scientific and didactic curriculum

Short CV

Research results

Author of Awards

research fields

relevant topics in multivariate approximation (with intersections):

selected achievements in approximation theory

I have contributed to the discovery and/or computation of some relevant families
of discrete point sets for polynomial and trigonometric approximation
(links to the first paper on the subject and to a research survey page)

selected codes

Research collaboration and coordination experience

Conference organization and editorial experience

Research evaluation experience

5 selected presentations at international conferences

selected citations

36 citations in books (numbers refer to the complete list of publications below) 23 citations in state of the art surveys

Complete list of mathematical publications


  1. Low-cardinality Positive Interior cubature on NURBS-shaped domains , BIT Numer. Math., accepted upon revision (with A. Sommariva).


  2. Cubature rules with positive weights on union of disks, Dolomites Res. Notes Approx. DRNA, to appear (with A. Sommariva).

  3. CQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature, Dolomites Res. Notes Approx. DRNA 15 (2022) ("Software for Approximation 2022", 92--100) (with G. Elefante and A. Sommariva).

  4. DISC: an adaptive numerical Differentiator by local polynomial Interpolation on SCattered data, Dolomites Res. Notes Approx. DRNA 15 (2022) ("Software for Approximation 2022", 81--91) (with F. Dell'Accio, F. Di Tommaso and N. Siar).

  5. inRS: implementing the indicator function of NURBS-shaped planar domains, Appl. Math. Lett. 130 (2022) (with A. Sommariva).

  6. Near-optimal polynomial interpolation on spherical triangles, Mediterr. J. Math. 19 (2022) (with A. Sommariva).

  7. RBFCUB: a numerical package for near-optimal meshless cubature on general polygons, Appl. Math. Lett. 125 (2022) (with R. Cavoretto, A. De Rossi and A. Sommariva).

  8. Numerical differentiation on scattered data through multivariate polynomial interpolation, BIT Numer. Math. 62 (2022), 773--801 (with F. Dell'Accio, F. Di Tommaso and N. Siar).


  9. RBF moment computation and meshless cubature on general polygonal regions, Appl. Math. Comput. 409 (2021) (with A. Sommariva).

  10. Numerical hyperinterpolation over spherical triangles, Math. Comput. Simul. 190 (2021), 15--22 (with A. Sommariva).

  11. Near-algebraic Tchakaloff-like quadrature on spherical triangles, Appl. Math. Lett. 120 (2021) (with A. Sommariva). 

  12. Computing Tchakaloff-like cubature rules on spline curvilinear polygons, Dolomites Res. Notes Approx. DRNA 14 (2021), 1--11 (with A. Sommariva).


  13. dCATCH: a numerical package for d-variate near G-optimal Tchakaloff regression via fast NNLS, MDPI-Mathematics 8(7) (2020) - Special Issue "Numerical Methods" (with M. Dessole and F. Marcuzzi).

  14. Quadrature-based polynomial optimization, Optim. Lett. 14 (2020), 1027--1036 (with A. Martinez, F. Piazzon and A. Sommariva).
    co-winner of the OPTL Best Paper Awards for 2020

  15. Near G-optimal Tchakaloff designs, Comput. Statistics 35 (2020), 803--819 (with F. Piazzon and L. Bos).

  16. Accelerating the Lawson-Hanson NNLS solver for large-scale Tchakaloff regression designs, Dolomites Res. Notes Approx. DRNA 13 (2020), 20--29 (with M. Dessole and F. Marcuzzi).

  17. Compressed cubature over polygons with applications to optical design, J. Comput. Appl. Math. 370 (2020) (with B. Bauman and A. Sommariva).

  18. Algebraic cubature on polygonal elements with a circular edge, Comput. Math. Appl. 79 (2020), 2057--2066 (with E. Artioli and A. Sommariva).


  19. CaTchDes: Matlab codes for Caratheodory-Tchakaloff Near-Optimal Regression Designs, SoftwareX 10 (2019) (with L. Bos).

  20. Near optimal polynomial regression on norming meshes, Sampling Theory and Applications 2019, IEEE Xplore Digital Library (with F. Piazzon and L. Bos).

  21. Chebyshev-Dubiner norming webs on starlike polygons, J. Inequal. Spec. Funct. 10-3 (2019), 26--32.

  22. Tchakaloff polynomial meshes, Ann. Polon. Math. 122 (2019), 221--231 (with L. Bos).

  23. Dubiner distance and stability of Lebesgue constants, J. Inequal. Spec. Funct. 10-2 (2019), 49--60.

  24. Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies, Optim. Lett. 13 (2019), 1325--1343 (with F. Piazzon).


  25. Near optimal Tchakaloff meshes for compact sets with Markov exponent 2, Dolomites Res. Notes Approx. DRNA 11 (2018), 92--96 (Special Issue on Norm Levenberg's 60th birthday).

  26. Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization, Optim. Lett. 12 (2018), 1659--1667.

  27. Discrete norming inequalities on sections of sphere, ball and torus, J. Inequal. Spec. Funct. 9-4 (2018), 113--121 (with A. Sommariva).

  28. Nearly optimal nested sensors location for polynomial regression on complex geometries, Sampl. Theory Signal Image Process. 17 (2018), 95--101 (with A. Sommariva).

  29. Global polynomial optimization by norming sets on sphere and torus, Dolomites Res. Notes Approx. DRNA 11 (2018), 10--14.

  30. Stability inequalities for Lebesgue constants via Markov-like inequalities, Dolomites Res. Notes Approx. DRNA 11 (2018), 1--9 (with F. Piazzon).

  31. Subperiodic Trigonometric Hyperinterpolation, "Contemporary Computational Mathematics - 80th of Ian Sloan" (invited paper), Springer, 2018, 283--304 (with G. Da Fies and A. Sommariva).

  32. An elementary approach to polynomial optimization on polynomial meshes, J. Math. Fund. Sci. 50 (2018), 84--91.

  33. A note on total degree polynomial optimization by Chebyshev grids, Optim. Lett. 12 (2018), 63--71 (with F. Piazzon).


  34. Numerical quadrature on the intersection of planar disks, FILOMAT 31:13 (2017), 4105--4115 (with A. Sommariva).

  35. Subperiodic trigonometric subsampling: a numerical approach, Appl. Anal. Discrete Math. 11 (2017), 470--483 (with A. Sommariva).

  36. Caratheodory-Tchakaloff Least Squares, Sampling Theory and Applications 2017, IEEE Xplore Digital Library (with F. Piazzon and A. Sommariva).

  37. Numerical hyperinterpolation over nonstandard planar regions, Math. Comput. Simulation 141 (2017), 110--120  (with A. Sommariva).

  38. On the use of compressed polyhedral quadrature formulas in embedded interface methods, SIAM J. Sci Comput. 39 (2017), B571-B587 (with Y. Sudhakar, A. Sommariva and W.A. Wall).

  39. Optimal polynomial meshes and Caratheodory-Tchakaloff submeshes on the sphere, Dolomites Res. Notes Approx. DRNA 10 (2017), 18--24 (with P. Leopardi and A. Sommariva).

  40. Caratheodory-Tchakaloff Subsampling, Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14 (with F. Piazzon and A. Sommariva).

  41. Polynomial approximation on Lissajous curves in the d-cube, Appl. Numer. Math. 116 (2017), 47--56 (with L. Bos and S. De Marchi).

  42. Polynomial approximation and quadrature on geographic rectangles, Appl. Math. Comput. 297 (2017), 159--179 (with M. Gentile and A. Sommariva).

  43. Trivariate polynomial approximation on Lissajous curves, IMA J. Numer. Anal., 37 (2017), 519--541 (with L. Bos and S. De Marchi).


  44. Jacobi norming meshes, Math. Inequal. Appl. 19 (2016), 1089--1095 (with F. Piazzon).

  45. Compressed sampling inequalities by Tchakaloff's theorem, Math. Inequal. Appl. 19 (2016), 395--400.


  46. Compression of multivariate discrete measures and applications, Numer. Funct. Anal. Optim. 36 (2015), 1198--1223 (with A. Sommariva).

  47. Polynomial fitting and interpolation on circular sections, Appl. Math. Comput. 258 (2015), 410--424 (with A. Sommariva).

  48. Polynomial Meshes: Computation and Approximation, Proceeedings of CMMSE 2015, 414--425, ISBN 978-84-617-2230-3, ISSN 2312-0177 (with S. De Marchi, F. Piazzon and A. Sommariva).


  49. Sub-optimal polynomial meshes on planar Lipschitz domains, Numer. Funct. Anal. Optim. 35 (2014), 1467--1475 (with F. Piazzon).

  50. Product Gaussian quadrature on circular lunes, Numer. Math. Theory Methods Appl. 7 (2014), 251--264 (with G. Da Fies).

  51. Constructing optimal polynomial meshes on planar starlike domains, Dolomites Res. Notes Approx. DRNA 7 (2014), 22--25 (with F. Piazzon).

  52. Norming meshes by Bernstein-like inequalities, Math. Inequal. Appl. 17 (2014), 929--936.

  53. Multivariate Christoffel functions and hyperinterpolation, Dolomites Res. Notes Approx. DRNA 7 (2014), 26--33 (with S. De Marchi, A. Sommariva).


  54. On the Lebesgue constant of subperiodic trigonometric interpolation, J. Approx. Theory 167 (2013), 59--64 (with G. Da Fies).

  55. Algebraic cubature by linear blending of elliptical arcs, Appl. Numer. Math. 74 (2013), 49--61 (with G. Da Fies and A. Sommariva).

  56. Small perturbations of polynomial meshes, Appl. Anal. 92 (2013), 1063--1073 (with F. Piazzon).

  57. Polynomial approximation on pyramids, cones and solids of rotation, Dolomites Res. Notes Approx. DRNA 6 (2013), 20--26 (with S. De Marchi).


  58. On the generation of symmetric Lebesgue-like points in the triangle, J. Comput. Appl. Math. 236 (2012), 4925--4932 (with F. Rapetti, A. Sommariva).

  59. Subperiodic trigonometric interpolation and quadrature, Appl. Math. Comput. 218 (2012), 10630--10638 (with L. Bos).

  60. Trigonometric Gaussian quadrature on subintervals of the period, Electron. Trans. Numer. Anal. 39 (2012), 102--112 (with G. Da Fies).

  61. Algebraic cubature on planar lenses and bubbles, Dolomites Res. Notes Approx. DRNA 5 (2012), 7--12 (with G. Da Fies).

  62. Computing Fekete and Lebesgue points: simplex, square, disk, J. Comput. Appl. Math. 236 (2012), 2477--2486 (with M. Briani, A. Sommariva).

  63. Low cardinality admissible meshes on quadrangles, triangles and disks, Math. Inequal. Appl. 15 (2012), 229--235 (with L. Bos).

  64. The "phase function" method to solve second-order asymptotically polynomial differential equations, Numer. Math. 121 (2012), 565--586 (with R. Spigler).


  65. Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points, Math. Comp. 80 (2011), 1601--1621 (with L. Bos, J.P. Calvi, N. Levenberg, A. Sommariva).

  66.   On Multivariate Newton Interpolation at Discrete Leja Points, Dolomites Res. Notes Approx. DRNA 4 (2011), 15--20  (with L. Bos, S. De Marchi, A. Sommariva).

  67. Polynomial interpolation and cubature over polygons, J. Comput. Appl. Math. 235 (2011), 5232--5239 (with M. Gentile, A. Sommariva).

  68. An algebraic cubature formula on curvilinear polygons, Appl. Math. Comput. 217 (2011), 10003--10015 (with G. Santin, A. Sommariva).

  69. Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave, Numer. Algorithms 56 (2011), 45--60 (with M. Caliari, S. De Marchi, A. Sommariva).

  70. Weakly Admissible Meshes and Discrete Extremal Sets, Numer. Math. Theory Methods Appl. 4 (2011), 1--12 (with L. Bos, S. De Marchi, A. Sommariva).


  71. Computing multivariate Fekete and Leja points by numerical linear algebra, SIAM J. Numer. Anal. 48 (2010), 1984--1999 (with L. Bos, S. De Marchi, A. Sommariva).

  72. Analytic transformations of admissible meshes, East J. Approx. 16 (2010), 313--322 (with F. Piazzon).

  73. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle, J. Comput. Appl. Math. 235 (2010), 660--668 (with L. Bos, A. Sommariva).

  74. On simple approximations to simple curves, Dolomites Res. Notes Approx. DRNA 3 (2010), 1--6 (with L. Bos).

  75. Approximate Fekete points for weighted polynomial interpolation, Electron. Trans. Numer. Anal. 37 (2010), 1--22 (with A. Sommariva).


  76. Gauss-Green cubature and moment computation over arbitrary geometries, J. Comput. Appl. Math. 231 (2009), 886--896 (with A. Sommariva).

  77. A numerical code for fast interpolation and cubature at the Padua points, Proceedings of the 9th CMMSE (2009), Vol. I, 218--228 (with M. Caliari, S. De Marchi, A. Sommariva).

  78. A massively parallel  exponential integrator for advection-diffusion models, J. Comput. Appl. Math. 231 (2009), 82--91 (with L. Bergamaschi, M. Caliari, A. Martinez).

  79. Computing approximate Fekete points by QR factorizations of Vandermonde matrices, Comput. Math. Appl. 57 (2009), 1324--1336 (with A. Sommariva).

  80. New cubature formulae and hyperinterpolation in three variables, BIT Numerical Mathematics 49 (2009), 55--73 (with S. De Marchi, Y. Xu).


  81. Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains, ACM Trans. Math. Software 35-3 (2008) (with M. Caliari, S. De Marchi).

  82. Nontensorial Clenshaw-Curtis cubature, Numer. Algorithms 49 (2008), 409--427 (with A. Sommariva, R. Zanovello).

  83. Hyperinterpolation in the cube, Comput. Math. Appl. 55 (2008), 2490--2497 (with M. Caliari, S. De Marchi).

  84. Bivariate Lagrange interpolation at the Padua points: computational aspects, J. Comput. Appl. Math. 221 (2008), 284--292 (with M. Caliari, S. De Marchi).

  85. Meshless cubature over the disk by Thin-Plate Splines, J. Comput. Appl. Math. 221 (2008) 430--436  (with A. Punzi and A. Sommariva).

  86. Asymptotic approximations for second-order linear difference  equations in Banach algebras, II, J. Math. Anal. Appl. 340 (2008), 433--450 (with T. Solda`, R. Spigler).

  87. Asymptotic approximations for second-order linear difference equations in Banach algebras, I, J. Math. Anal. Appl. 337 (2008), 1158--1170 (with T. Solda`, R. Spigler).


  88. Bivariate Lagrange interpolation at the Padua points: the ideal theory approach, Numer. Math. 108 (2007), 43--57 (with L. Bos, S. De Marchi, Y. Xu).

  89. Product Gauss cubature over polygons based on Green's  integration formula, BIT Numerical Mathematics 47 (2007), 441--453  (with A. Sommariva).

  90. The LEM exponential integrator for advection-diffusion-reaction equations, J. Comput. Appl. Math. 210 (2007), 56--63 (with L. Bergamaschi, M. Caliari).

  91. Hyperinterpolation on the square, J. Comput. Appl. Math. 210 (2007), 78--83 (with M. Caliari, S. De Marchi).

  92. Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations, J. Math. Anal. Appl. 325 (2007), 69--89 (with R. Spigler).


  93. Bivariate Lagrange interpolation at the Padua points: the generating curve approach, J. Approx. Theory 143 (2006), 15--25 (with L. Bos, M. Caliari, S. De Marchi, Y. Xu).

  94. Meshless cubature by Green's formula, Appl. Math. Comput. 183 (2006), 1098--1107 (with A. Sommariva).

  95. Hyper2d: a numerical code for hyperinterpolation on rectangles, Appl. Math. Comput. 183 (2006), 1138--1147 (with M. Caliari, S. De Marchi, R. Montagna).

  96. Bivariate interpolation at Xu points: results, extensions and applications, Electron. Trans. Numer. Anal. 25 (2006), 1--16 (with L. Bos, M. Caliari, S. De Marchi).

  97. On the Lebesgue constant for the Xu interpolation formula, J. Approx. Theory 141 (2006), 134--141 (with L. Bos, S. De Marchi).

  98. Comparing Krylov and Leja approximations of large scale matrix exponentials, Springer LNCS vol. 3994, part IV, 2006,  685-692 (with L. Bergamaschi, M. Caliari, A. Martinez).

  99. A numerical study of the Xu polynomial interpolation formula in two variables, Computing 76 (2006), 311--324 (with L. Bos, M. Caliari, S. De Marchi).

  100. Numerical cubature on scattered data by radial basis functions, Computing 76 (2006), 295--310 (with A. Sommariva).

  101. Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations, Asymptotic Analysis 48 (2006), 267--294 (with R. Spigler).


  102. Bivariate polynomial interpolation on the square at new nodal sets, Appl. Math. Comput. 165 (2005), 261--274 (with M. Caliari, S. De Marchi).

  103. Adaptive bivariate Chebyshev approximation, Numer. Algorithms 38 (2005),  79--94 (with A. Sommariva, R. Zanovello).

  104. A parallel exponential integrator for large-scale discretizations of advection-diffusion models, Springer LNCS vol. 3666, 2005, 483-492 (with L. Bergamaschi, M. Caliari, A. Martinez).


  105. The ReLPM exponential integrator for FE discretizations of advection-diffusion equations, Springer LNCS vol. 3039, part IV, 2004, 434--442 (with L. Bergamaschi, M. Caliari).

  106. Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators, Appl. Numer. Anal. Comput. Math. 1 (2004), 115--121 (with A. Mardegan, A. Sommariva, R. Zanovello).

  107. Interpolating discrete advection-diffusion propagators at Leja sequences, J. Comput. Appl. Math. 172 (2004), 79--99 (with L. Bergamaschi, M. Caliari).


  108. Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation, Constructive theory of functions, 347--353, DARBA, Sofia, 2003 (with S. De Marchi).

  109. Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems, Numer. Linear Algebra Appl. 10 (2003), 271--289 (with L. Bergamaschi, M. Caliari).


  110. Approximating the approximant: a numerical code for polynomial compression of discrete integral operators, In memory of W. Gross. Numer. Algorithms 28 (2001),  101--116 (with S. De Marchi).

  111. Fast summation of power series with coefficients analytic at infinity, Numer. Algorithms 27 (2001), 77--87 (with A. Sommariva, R. Zanovello).

  112. Positive multiplication preserves dissipativity in commutative C*-algebras, J. Inequal. Appl. 6 (2001), 247--251 (with A. Sommariva).


  113. Chebyshev-like compression of linear and nonlinear discretized integral operators, Neural Parallel Sci. Comput. 8 (2000), 327--353.

  114. Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations, J. Integral Equations Appl. 12 (2000), 95--112 (with A. Sommariva).

  115. Relaxed Picard-like methods for nonlinear integral equations arising in transport theory, Proc. of Venice2: Appl. and Ind. Math., 1998, 273--285, Kluwer, 2000 (with E. Facchinello, A. Sommariva).

  116. Efficient computation of the exponential operator for large, sparse, symmetric matrices, Numer. Linear Algebra Appl. 7 (2000), 27--45 (with L. Bergamaschi).

  117. A new summation method for power series with rational coefficients, Math. Comp. 69 (2000), 749--756 (with S. Dassie`, R. Zanovello).

  118. A variant of the complex Liouville-Green approximation theorem, Arch. Math. (Brno) 36 (2000), 213--218 (with R. Spigler).

  119. Existence of positive continuous solutions of perturbed Hammerstein equations, Appl. Anal. 74 (2000), 429--438.

  120. Constructive approximation for a class of perturbed Hammerstein integral equations, Nonlinear Anal. 41 (2000), Ser. A: Theory Methods, 177--185 (with A. Sommariva).


  121. Liouville-Green-Olver approximations for complex difference equations, J. Approx. Theory 96 (1999), 301--322 (with F. Locatelli, R. Spigler).

  122. Constructive analysis of purely integral Boltzmann models, J. Integral Equations Appl. 11 (1999), 393--404 (with A. Sommariva).

  123. On the complex differential equation Y"+G(z)Y=0 in Banach algebras, Stud. Appl. Math. 102 (1999), 291--308 (with R. Spigler).


  124. Asymptotic summation of power series, Numer. Math. 80 (1998), 61--73 (with S. Dassie`, R. Zanovello).

  125. Approximating fixed-points of decreasing operators in spaces of continuous functions, Numer. Funct. Anal. Optim. 19 (1998), 635--646 (with A. Sommariva).

  126. A survey on the Liouville-Green (WKB) approximation for linear difference equations of the second order, Proc. of ICDEA 1995, 567--577, CRC Press, 1998 (with R. Spigler).


  127. Peano's kernel theorem for vector-valued functions: a weak version in normed spaces, Numer. Funct. Anal. Optim. 18 (1997), 65--74 (with S. De Marchi).


  128. Peano's kernel theorem for vector-valued functions and some applications, Numer. Funct. Anal. Optim. 17 (1996), 57--64 (with S. De Marchi).

  129. Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum, Methods Appl. Anal. 3 (1996), 457--475 (with R. Spigler).

  130. WKB-type approximations for second-order differential equations in C*-algebras, Proc. Amer. Math. Soc. 124 (1996), 1763--1771 (with R. Spigler).


  131. Convergence analysis of the semi-implicit Euler method for abstract evolution equations, Numer. Funct. Anal. Optim. 16 (1995), 785--803 (with R. Spigler).

  132. On some connections between well-posedness and general properties of numerical methods, Z. Angew. Math. Mech. 75 (1995), 237--241 (with R. Zanovello).

  133. On regularity at t=0 for semilinear ADEs and its numerical applications, Semigroup Forum 50 (1995),  97--104.

  134. Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems, Proc. Sympos. Appl. Math., 48, AMS, 1995 (with S. De Marchi, R. Zanovello).


  135. Semi-implicit discretization of abstract evolution equations, Equadiff 8 (Bratislava, 1993), Tatra Mt. Math. Publ. 4 (1994), 207--212 (with R. Spigler).

  136. Discrete and continuous Liouville-Green-Olver approximations: a unified treatment via Volterra-Stieltjes integral equations, SIAM J. Math. Anal. 25 (1994), 720--732 (with R. Spigler).


  137. Cesaro's theorems for complex sequences, J. Math. Anal. Appl. 180 (1993), 317--324 (with R. Spigler).

  138. Abstract versions of L'Hopital's rule for holomorphic functions in the framework of complex B-modules, J. Math. Anal. Appl. 180 (1993), 17--28 (with R. Spigler).

  139. Extending L'Hopital's theorem to B-modules, J. Math. Anal. Appl. 179 (1993), 638--645 (with R. Spigler).

  140. Finite moments perturbations of y"=0 in Banach algebras, Proc. Amer. Math. Soc. 119 (1993), 97--103 (with R. Spigler).

  141. A generalization of l'Hopital's rule via absolute continuity and Banach modules, Real Anal. Exchange 18 (1992/93), 557--567.


  142. Extensions and numerical applications of the Liouville-Green approximation, Ph.D. Thesis, Univ. of Padova, 1992, 1--84.

  143. On the superlinear convergence of the secant method, Amer. Math. Monthly 99 (1992), 758--761  (with R. Zanovello).

  144. Liouville-Green approximations for a class of linear oscillatory difference equations of the second order, J. Comput. Appl. Math. 41 (1992), 105--116 (with R. Spigler).

  145. Improved estimates for the derivatives of the O-symbols in view of numerical applications, J. Math. Anal. Appl. 164 (1992), 480--488 (with R. Spigler).

  146. WKBJ-type approximation for finite moments perturbations of the differential equation y"=0 and the analogous difference equation, J. Math. Anal. Appl. 169 (1992), 437--452 (with R. Spigler).


  147. Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data, Differential Integral Equations 4 (1991), 991--1003 (with R. Spigler).


  148. A numerical method for evaluating zeros of solutions of second-order linear differential equations, Math. Comp. 55 (1990), 591--612 (with R. Spigler).

  149. Approximating zeros of solutions of second-order linear ODEs by "phase function" methods, Lecture Notes in Pure and Appl. Math. vol. 124, Dekker, New York, 1990 (with R. Spigler).

Didactic curriculum

at the University of Padova, from 1991

Teaching (84 courses)
(o): full course responsibility
(%): teaching assistantship or co-teaching

at the Faculty of Science

at the Faculty of Engineering

Written tutorials (in Italian)

Ph.D. courses

Talks on didactics

Supervision and organization