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Marco Vianello: scientific and didactic curriculum


Short CV

Research results

Author of 119 mathematical papers in the fields of Approximation Theory, Numerical Analysis and Mathematical Analysis with 27 coauthors, published in 53 international journals and book series, and of several software packages, see on the personal web page http://www.math.unipd.it/~marcov the following: Topics (with relevant citations in books and state of the art surveys; see the complete list of publications below)

1. Multivariate approximation theory: interpolation and least squares, numerical cubature, polynomial inequalities (64 papers) 2. Approximation of matrix exponentials and exponential integrators for ODEs/PDEs (8 papers) 3. Asymptotics/numerics: differential and difference eqs., fast summation, special functions (28 papers) 4. Constructive-numerical methods for integral equations and transforms (10 papers)
5. Numerical functional analysis (8 papers)

Research collaboration and coordination experience

Conference organization and editorial experience

Research evaluation experience

Selected presentations at international conferences

Complete list of mathematical publications

    to appear

  1. An elementary approach to polynomial optimization on polynomial meshes, J. Math. Fund. Sci., to appear.
  2. Subperiodic Trigonometric Hyperinterpolation, to appear in: "Festschrift for the 80th Birthday of Ian Sloan" (invited paper), J. Dick, F.Y. Kuo, H. Wozniakowski Eds., Springer, 2018 (with G. Da Fies and A. Sommariva).
  3. Subperiodic trigonometric subsampling: a numerical approach, Appl. Anal. Discrete Math., to appear (with A. Sommariva).

    2017

  4. A note on total degree polynomial optimization by Chebyshev grids, Optim. Lett., published online 01 July 2017 (with F. Piazzon).
  5. Numerical quadrature on the intersection of planar disks, FILOMAT 31:13 (2017) (with A. Sommariva).
  6. Caratheodory-Tchakaloff Least Squares, 2017 International Conference on Sampling Theory and Applications (SampTA), IEEE Xplore Digital Library, DOI: 10.1109/SAMPTA.2017.8024337 (with F. Piazzon and A. Sommariva).
  7. Numerical hyperinterpolation over nonstandard planar regions, Math. Comput. Simulation 141 (2017), 110--120 (with A. Sommariva).
  8. 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).
  9. 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).
  10. Caratheodory-Tchakaloff Subsampling, Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14 (with F. Piazzon and A. Sommariva).
  11. Polynomial approximation on Lissajous curves in the d-cube, Appl. Numer. Math. 116 (2017), 47--56 (with L. Bos and S. De Marchi).
  12. Polynomial approximation and quadrature on geographic rectangles, Appl. Math. Comput. 297 (2017), 159--179 (with M. Gentile and A. Sommariva).
  13. Trivariate polynomial approximation on Lissajous curves, IMA J. Numer. Anal. 37 (2017), 519--541 (with L. Bos and S. De Marchi).

    2016

  14. Jacobi norming meshes, Math. Inequal. Appl. 19 (2016), 1089--1095 (with F. Piazzon).
  15. Compressed sampling inequalities by Tchakaloff's theorem, Math. Inequal. Appl. 19 (2016), 395--400.

    2015

  16. Compression of multivariate discrete measures and applications, Numer. Funct. Anal. Optim. 36 (2015), 1198--1223 (with A. Sommariva).
  17. Polynomial fitting and interpolation on circular sections, Appl. Math. Comput. 258 (2015), 410--424 (with A. Sommariva).
  18. 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).

    2014

  19. Sub-optimal polynomial meshes on planar Lipschitz domains, Numer. Funct. Anal. Optim. 35 (2014), 1467--1475 (with F. Piazzon).
  20. Product Gaussian quadrature on circular lunes, Numer. Math. Theory Methods Appl. 7 (2014), 251--264 (with G. Da Fies).
  21. Constructing optimal polynomial meshes on planar starlike domains, Dolomites Res. Notes Approx. DRNA 7 (2014), 22--25 (with F. Piazzon).
  22. Norming meshes by Bernstein-like inequalities, Math. Inequal. Appl. 17 (2014), 929--936.
  23. Multivariate Christoffel functions and hyperinterpolation, Dolomites Res. Notes Approx. DRNA 7 (2014), 26--33 (with S. De Marchi, A. Sommariva).

    2013

  24. On the Lebesgue constant of subperiodic trigonometric interpolation, J. Approx. Theory 167 (2013), 59--64 (with G. Da Fies).
  25. Algebraic cubature by linear blending of elliptical arcs, Appl. Numer. Math. 74 (2013), 49--61 (with G. Da Fies and A. Sommariva).
  26. Small perturbations of polynomial meshes, Appl. Anal. 92 (2013), 1063--1073 (with F. Piazzon).
  27. Polynomial approximation on pyramids, cones and solids of rotation, Dolomites Res. Notes Approx. DRNA 6 (2013), 20--26 (with S. De Marchi).

    2012

  28. Subperiodic trigonometric interpolation and quadrature, Appl. Math. Comput. 218 (2012), 10630--10638 (with L. Bos).
  29. On the generation of symmetric Lebesgue-like points in the triangle, J. Comput. Appl. Math. 236 (2012), 4925--4932 (with F. Rapetti, A. Sommariva).
  30. Trigonometric Gaussian quadrature on subintervals of the period, Electron. Trans. Numer. Anal. 39 (2012), 102--112 (with G. Da Fies).
  31. Algebraic cubature on planar lenses and bubbles, Dolomites Res. Notes Approx. DRNA 5 (2012), 7--12 (with G. Da Fies).
  32. Computing Fekete and Lebesgue points: simplex, square, disk, J. Comput. Appl. Math. 236 (2012), 2477--2486 (with M. Briani, A. Sommariva).
  33. Low cardinality admissible meshes on quadrangles, triangles and disks, Math. Inequal. Appl. 15 (2012), 229--235 (with L. Bos).
  34. The "phase function" method to solve second-order asymptotically polynomial differential equations, Numer. Math. 121 (2012), 565--586 (with R. Spigler).

    2011

  35. 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).
  36. 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).
  37. Polynomial interpolation and cubature over polygons, J. Comput. Appl. Math. 235 (2011), 5232--5239 (with M. Gentile, A. Sommariva).
  38. An algebraic cubature formula on curvilinear polygons, Appl. Math. Comput. 217 (2011), 10003--10015 (with G. Santin, A. Sommariva).
  39. 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).
  40. Weakly Admissible Meshes and Discrete Extremal Sets, Numer. Math. Theory Methods Appl. 4 (2011), 1--12 (with L. Bos, S. De Marchi, A. Sommariva).

    2010

  41. 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).
  42. Analytic transformations of admissible meshes, East J. Approx. 16 (2010), 313--322 (with F. Piazzon).
  43. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle, J. Comput. Appl. Math. 235 (2010), 660--668 (with L. Bos, A. Sommariva).
  44. On simple approximations to simple curves, Dolomites Res. Notes Approx. DRNA 3 (2010), 1--6 (with L. Bos).
  45. Approximate Fekete points for weighted polynomial interpolation, Electron. Trans. Numer. Anal. 37 (2010), 1--22 (with A. Sommariva).

    2009

  46. Gauss-Green cubature and moment computation over arbitrary geometries, J. Comput. Appl. Math. 231 (2009), 886--896 (with A. Sommariva).
  47. 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).
  48. A massively parallel exponential integrator for advection-diffusion models, J. Comput. Appl. Math. 231 (2009), 82--91 (with L. Bergamaschi, M. Caliari, A. Martinez).
  49. Computing approximate Fekete points by QR factorizations of Vandermonde matrices, Comput. Math. Appl. 57 (2009), 1324--1336 (with A. Sommariva).
  50. New cubature formulae and hyperinterpolation in three variables, BIT Numerical Mathematics 49 (2009), 55--73 (with S. De Marchi, Y. Xu).

    2008

  51. Algorithm 886: Padua2D: Lagrange Interpolation at Padua Points on Bivariate Domains, ACM Trans. Math. Software 35-3 (2008) (with M. Caliari, S. De Marchi).
  52. Nontensorial Clenshaw-Curtis cubature, Numer. Algorithms 49 (2008), 409--427 (with A. Sommariva, R. Zanovello).
  53. Hyperinterpolation in the cube, Comput. Math. Appl. 55 (2008), 2490--2497 (with M. Caliari, S. De Marchi).
  54. Bivariate Lagrange interpolation at the Padua points: computational aspects, J. Comput. Appl. Math. 221 (2008), 284--292 (with M. Caliari, S. De Marchi).
  55. Meshless cubature over the disk by Thin-Plate Splines, J. Comput. Appl. Math. 221 (2008) 430--436 (with A. Punzi and A. Sommariva).
  56. 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).
  57. 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).

    2007

  58. 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).
  59. Product Gauss cubature over polygons based on Green's integration formula, BIT Numerical Mathematics 47 (2007), 441--453 (with A. Sommariva).
  60. The LEM exponential integrator for advection-diffusion-reaction equations, J. Comput. Appl. Math. 210 (2007), 56--63 (with L. Bergamaschi, M. Caliari).
  61. Hyperinterpolation on the square, J. Comput. Appl. Math. 210 (2007), 78--83 (with M. Caliari, S. De Marchi).
  62. 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).

    2006

  63. 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).
  64. Meshless cubature by Green's formula, Appl. Math. Comput. 183 (2006), 1098--1107 (with A. Sommariva).
  65. Hyper2d: a numerical code for hyperinterpolation on rectangles, Appl. Math. Comput. 183 (2006), 1138--1147 (with M. Caliari, S. De Marchi, R. Montagna).
  66. 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).
  67. On the Lebesgue constant for the Xu interpolation formula, J. Approx. Theory 141 (2006), 134--141 (with L. Bos, S. De Marchi).
  68. Comparing Krylov and Leja approximations of large scale matrix exponentials, Springer LNCS vol. 3994, part IV, 2006 (Proc. of ICCS 2006, Reading, UK), 685-692 (with L. Bergamaschi, M. Caliari, A. Martinez).
  69. 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).
  70. Numerical cubature on scattered data by radial basis functions, Computing 76 (2006), 295--310 (with A. Sommariva).
  71. Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations, Asymptotic Analysis 48 (2006), 267--294 (with R. Spigler).

    2005

  72. Bivariate polynomial interpolation on the square at new nodal sets, Appl. Math. Comput. 165 (2005), 261--274 (with M. Caliari, S. De Marchi).
  73. Adaptive bivariate Chebyshev approximation, Numer. Algorithms 38 (2005), 79--94 (with A. Sommariva, R. Zanovello).
  74. A parallel exponential integrator for large-scale discretizations of advection-diffusion models, Springer LNCS vol. 3666, 2005 (Proc. of Euro PVM MPI 2005, Sorrento, Italy), 483-492 (with L. Bergamaschi, M. Caliari, A. Martinez).

    2004

  75. The ReLPM exponential integrator for FE discretizations of advection-diffusion equations, Springer LNCS vol. 3039, part IV, 2004 (Proc. of ICCS 2004, Krakow, Poland), 434--442 (with L. Bergamaschi, M. Caliari).
  76. 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).
  77. Interpolating discrete advection-diffusion propagators at Leja sequences, J. Comput. Appl. Math. 172 (2004), 79--99 (with L. Bergamaschi, M. Caliari).

    2003

  78. 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).
  79. 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).

    2001

  80. 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).
  81. Fast summation of power series with coefficients analytic at infinity, Numer. Algorithms 27 (2001), 77--87 (with A. Sommariva, R. Zanovello).
  82. Positive multiplication preserves dissipativity in commutative C*-algebras, J. Inequal. Appl. 6 (2001), 247--251 (with A. Sommariva).

    2000

  83. Chebyshev-like compression of linear and nonlinear discretized integral operators, Neural Parallel Sci. Comput. 8 (2000), 327--353.
  84. Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations, J. Integral Equations Appl. 12 (2000), 95--112 (with A. Sommariva).
  85. Relaxed Picard-like methods for nonlinear integral equations arising in transport theory, Applied and industrial mathematics, Venice--2, 1998, 273--285, Kluwer Acad. Publ., Dordrecht, 2000 (with E. Facchinello, A. Sommariva).
  86. Efficient computation of the exponential operator for large, sparse, symmetric matrices, Numer. Linear Algebra Appl. 7 (2000), 27--45 (with L. Bergamaschi).
  87. A new summation method for power series with rational coefficients, Math. Comp. 69 (2000), 749--756 (with S. Dassie`, R. Zanovello).
  88. A variant of the complex Liouville-Green approximation theorem, Arch. Math. (Brno) 36 (2000), 213--218 (with R. Spigler).
  89. Existence of positive continuous solutions of perturbed Hammerstein equations, Appl. Anal. 74 (2000), 429--438.
  90. Constructive approximation for a class of perturbed Hammerstein integral equations, Nonlinear Anal. 41 (2000), Ser. A: Theory Methods, 177--185 (with A. Sommariva).

    1999

  91. Liouville-Green-Olver approximations for complex difference equations, J. Approx. Theory 96 (1999), 301--322 (with F. Locatelli, R. Spigler).
  92. Constructive analysis of purely integral Boltzmann models, J. Integral Equations Appl. 11 (1999), 393--404 (with A. Sommariva).
  93. On the complex differential equation Y"+G(z)Y=0 in Banach algebras, Stud. Appl. Math. 102 (1999), 291--308 (with R. Spigler).

    1998

  94. Asymptotic summation of power series, Numer. Math. 80 (1998), 61--73 (with S. Dassie`, R. Zanovello).
  95. Approximating fixed-points of decreasing operators in spaces of continuous functions, Numer. Funct. Anal. Optim. 19 (1998), 635--646 (with A. Sommariva).

    1997

  96. 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).
  97. A survey on the Liouville-Green (WKB) approximation for linear difference equations of the second order, Advances in difference equations (Veszprem, 1995), 567--577, Gordon and Breach, Amsterdam, 1997 (with R. Spigler).

    1996

  98. Peano's kernel theorem for vector-valued functions and some applications, Numer. Funct. Anal. Optim. 17 (1996), 57--64 (with S. De Marchi).
  99. Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum, Methods Appl. Anal. 3 (1996), 457--475 (with R. Spigler).
  100. WKB-type approximations for second-order differential equations in C*-algebras, Proc. Amer. Math. Soc. 124 (1996), 1763--1771 (with R. Spigler).

    1995

  101. Convergence analysis of the semi-implicit Euler method for abstract evolution equations, Numer. Funct. Anal. Optim. 16 (1995), 785--803 (with R. Spigler).
  102. On some connections between well-posedness and general properties of numerical methods, Z. Angew. Math. Mech. 75 (1995), 237--241 (with R. Zanovello).
  103. On regularity at t=0 for semilinear ADEs and its numerical applications, Semigroup Forum 50 (1995), 97--104.

    1994

  104. Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems, Mathematics of Computation 1943--1993: a half-century of computational mathematics (Vancouver, BC, 1993), 281--285, Proc. Sympos. Appl. Math., 48, Amer. Math. Soc., Providence, RI, 1994 (with S. De Marchi, R. Zanovello).
  105. Semi-implicit discretization of abstract evolution equations, Equadiff 8 (Bratislava, 1993), Tatra Mt. Math. Publ. 4 (1994), 207--212 (with R. Spigler).
  106. 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).

    1993

  107. Cesaro's theorems for complex sequences, J. Math. Anal. Appl. 180 (1993), 317--324 (with R. Spigler).
  108. 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).
  109. Extending L'Hopital's theorem to B-modules, J. Math. Anal. Appl. 179 (1993), 638--645 (with R. Spigler).
  110. Finite moments perturbations of y"=0 in Banach algebras, Proc. Amer. Math. Soc. 119 (1993), 97--103 (with R. Spigler).
  111. A generalization of l'Hopital's rule via absolute continuity and Banach modules, Real Anal. Exchange 18 (1992/93), 557--567.

    1992

  112. Extensions and numerical applications of the Liouville-Green approximation, Ph.D. Thesis, Doctoral School in Computational Mathematics, Italian North-Eastern Consortium (Universities of Bologna, Padova, Trieste and Udine), 1--84
  113. On the superlinear convergence of the secant method, Amer. Math. Monthly 99 (1992), 758--761 (with R. Zanovello).
  114. Liouville-Green approximations for a class of linear oscillatory difference equations of the second order, Asymptotic methods in analysis and combinatorics, J. Comput. Appl. Math. 41 (1992), 105--116 (with R. Spigler).
  115. 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).
  116. 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).

    1991

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

    1990

  118. A numerical method for evaluating zeros of solutions of second-order linear differential equations, Math. Comp. 55 (1990), 591--612 (with R. Spigler).
  119. Approximating zeros of solutions of second-order linear ODEs by "phase function" methods, Asymptotic and computational analysis (Winnipeg, MB, 1989), 707--722, Lecture Notes in Pure and Appl. Math., 124, Dekker, New York, 1990 (with R. Spigler).

Didactic curriculum

at the University of Padova, from 1991

see also the web page devoted to students: www.math.unipd.it/~marcov/studenti.html

Teaching (73 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

Complete list of supervised theses for the degrees in Mathematics

(the theses are in Italian unless differently stated)

    2014/15

  1. Positive cubature formulas on normal domains
    G. Bergamasco, Tesi di Laurea Triennale

    2013/14

  2. Subperiodic trigonometric hyperinterpolation in tensor-product spaces
    V. Piciocchi, Tesi di Laurea Magistrale (in English)
  3. Discrete orthogonal polynomials and hyperinterpolation over planar regions
    M. Zaccaron, Tesi di Laurea Magistrale (in English)

    2012/13

  4. Algebraic cubature on subregions of the sphere
    M. Gentile, Tesi di Laurea Magistrale
  5. Adaptive cubature on the sphere and the torus
    L. Mezzalira, Tesi di Laurea Magistrale (as co-advisor)
  6. Product trigonometric interpolation on spherical sections
    A. Cracco, Tesi di Laurea Triennale
  7. Computing discrete extremal sets on disk sections
    A. Passarini, Tesi di Laurea Triennale

    2011/12

  8. Recent results in the theory of polynomial weakly admissible meshes
    F. Piazzon, Tesi di Laurea Magistrale (in English)
  9. Some results on subperiodic trigonometric approximation and quadrature
    G. Da Fies, Tesi di Laurea Magistrale
  10. Construction of admissible polynomial meshes on bidimensional compacts with smooth boundary
    V. Piciocchi, Tesi di Laurea Triennale
  11. Subperiodic trigonometric interpolation and product interpolation on disk sections
    V. Mazzocco, Tesi di Laurea Triennale

    2010/11

  12. Comparison of methods for the numerical integration of bivariate gaussians over polygons
    S. Ballan, Tesi di Laurea Triennale
  13. Computation of near optimal points for polynomial interpolation over the triangle
    M. Briani, Tesi di Laurea Triennale

    2009/10

  14. Polynomial approximation on weakly admissible meshes of ball and tetrahedron
    G. Orzetti, Tesi di Laurea Magistrale
  15. A method for convex quadrangulation of a polygon
    M. Gentile, Tesi di Laurea Triennale
  16. Analytic transformations of weakly admissible meshes
    F. Piazzon, Tesi di Laurea Triennale
  17. Algebraic cubature on general domains by the software system Chebfun
    G. Santin, Tesi di Laurea Triennale

    2008/09

  18. A new cubature method over polygons
    F. Basaglia, Tesi di Laurea Triennale

    2006/07

  19. A RBF cubature formula for scattered data on domains with spline boundary
    G. Da Fies, Tesi di Laurea Triennale

    2005/06

  20. A RBF cubature formula for scattered data on circular sectors
    A. Punzi, Tesi di Laurea Triennale

    2003/04

  21. Efficient implementation of the Fast Gauss Tranform on grids
    E. Caniato, Tesi di Laurea Quadriennale

    2001/02

  22. Efficient implementation of exponential integrators for 2D and 3D advection-diffusion equations
    M. Caliari, Ph.D. thesis in Computational Mathematics (in English)
  23. Numerical analysis of a polynomial explicit method for stiff differential systems
    C. Casazza, Tesi di Laurea Quadriennale

    2000/01

  24. Bivariate Chebyshev series and approximation of integral operators
    A. Mardegan, Tesi di Laurea Quadriennale

    1999/00

  25. Constructive and numerical analysis for a class of Hammerstein equations arising in transport theory
    A. Sommariva, Ph.D. thesis in Computational Mathematics (in English)
  26. Acceleration of the multidimensional Fast Gauss Transform
    M.T. Aneloni, Tesi di Laurea Quadriennale
  27. Accelerating the solution of integral equations of the second kind by Chebyshev compression
    A. Martignago, Tesi di Laurea Quadriennale

    1998/99

  28. Computing the exponential operator for large, sparse, nonsymmetric matrices
    M. Caliari, Tesi di Laurea Quadriennale
  29. Implementation of cosine type methods for 2nd order differential equations with rapidly oscillating solutions
    M. Stander, Tesi di Laurea Quadriennale

    1997/98

  30. Analysis and implementation of a numerical solver for nonlinear integral equations of transport theory
    E. Facchinello, Tesi di Laurea Quadriennale

    1996/97

  31. Polynomial approximation of analytic matrix functions
    S. Zamborlin, Tesi di Laurea Quadriennale
  32. Asymptotic approximation for 2nd order linear difference equations in Banach algebras
    T. Solda`, Tesi di Laurea Quadriennale
  33. Global error control in the numerical solution of stiff differential systems
    S. Tarraran, Tesi di Laurea Quadriennale

    1995/96

  34. Asymptotic-numerical analysis of 2nd order linear difference equations with polynomial coefficients
    F. Pistellato, Tesi di Laurea Quadriennale
  35. Numerical computation of the Lerch trascendental function
    S. Nizzoli, Tesi di Laurea Quadriennale

    1994/95

  36. Convergence acceleration of power series by asymptotic summation and extrapolation
    S. Dassie`, Tesi di Laurea Quadriennale
  37. On the numerical integration of analytic functions by Gauss-Gegenbauer formulas
    F. Locatelli, Tesi di Laurea Quadriennale

    1992/93

  38. Some results of discrete asymptotic-numerical analysis with computational applications
    C. Damele, Tesi di Laurea Quadriennale
  39. A numerical approximation method for a class of fixed-point equations
    A. Sommariva, Tesi di Laurea Quadriennale