Curriculum vitae
Alvise Sommariva
aaDepartment of Mathematics, University of Padua (Italy)
1 Titles
• Degree in Matematics, 1993, University of Padua,with the thesis A numer-ical method for a class of fixed point equations.
• Ph.D. in Computational Mathematics, 1999, University of Padua, with the thesis Constructive and Numerical Analysis for a class of Hammerstein equa-tions arising in transport theory.
• National habilitation to Associate Professor in Numerical Analysis, italian subject Mat/08, e.g. Numerical Analysis (since December 16, 2013).
2 Positions
• Research grant, Numerical analysis of integral and differential models in applied sciences, University of Padua (April 1, 1999 - August 31, 2002). • Post-Ph.D grant (e.g. grant for students with Ph.D. degree), Fast methods
for integral equations, Dept. of Pure and Applied Mathematics, University of Padua (September 1, 2002 - August 31, 2004).
• Research Associate, School of Mathematics, University of New South Wales (Australia) (September 1, 2004 - December 1, 2005).
• Confirmed Researcher in Numerical Analysis, University of Padua (March 2006-).
3 Supervisor experience: degree thesis
• E. Facchinello, Analysis and implementation of a numerical solver for non-linear integral equations of transport theory, with M. Vianello.
• A. Martignago, Fast methods for integral equations of the second kind via Chebyshev compression, with M. Vianello. [Academic year 1999-2000] • A. Mardegan, Bivariate Chebyshev series and approximation of integral
operators, with M. Vianello.
• A. Punzi, Una formula di cubatura RBF per dati scattered su settori circo-lari with M. Vianello. [Academic year 2005-2006]
• G. Da Fies, A RBF cubature rule for scattered data on domains with spline boundary, with M. Vianello. [Academic year 2006-2007]
• S. Bressan, Rappresentazione dei reali nel calcolatore and calcolo with nu-meri approssimati: un percorso didattico per le scuole secondarie, with M. Vianello. [Academic year 2007-2008]
• F. Basaglia, A new cubature method over polygons, with M. Vianello. • M. Marchioro, Approssimazione polinomiale and cubatura su mesh
debol-mente ammissibili del parallelepipedo, del cilindro and del prisma a base triangolare, with S. De Marchi. [Academic year 2009-2010]
• G. Orzetti, Approssimazione polinomiale su mesh debolmente ammissibili della palla and del tetraedro, with M. Vianello. [Academic year 2009-2010] • M. Briani, Calcolo di punti quasi ottimali per l’interpolazione polinomiale
sul triangolo, with M. Vianello. [Academic year 2009-2010]
• M. Gentile, Un algoritmo per la quadrangolazione convessa di poligoni, with M. Vianello. [Academic year 2009-2010]
• S. Ballan, Confronti di metodi per l’integrazione numerica di Gaussiane bivariate su poligoni, with M. Vianello. [Academic year 2010-2011]
• L. Mezzalira, Calcolo di punti quasi ottimali per l’interpolazione polinomiale sull’intervallo, il quadrato and il disco. [Academic year 2010-2011]
• M. Festa, Calcolo di formule minimali sul quadrato. [Academic year 2010-2011]
• J. Cacco, Un metodo polinomiale per il calcolo di funzioni di matrici non simmetriche basato sui punti di Leja, with P. Novati. [Academic year 2010-2011]
• D. Montagner, Quadratura di Fejer and Clenshaw-Curtis via DCT and DST, and sue applicazioni, [Academic year 2011-2012]
• A. Pinto, Punti di Lebesgue sul disco, with F. Rinaldi, [Academic year 2011-2012]
• M. Gentile, Interpolazione polinomiale and cubatura algebrica su sottore-gioni della sfera, master degree, with M. Vianello. [Academic year 2012-2013] • L. Mezzalira, Cubatura adattativa su toro and sfera, laurea magistrale, with
M. Vianello. [Academic year 2012-2013]
• C. Bittante, Una nuova tecnica di cubatura quasi-Monte Carlo su domini 2D and 3D, with S. De Marchi. [Academic year 2013-2014]
4 Referee Activity • Numerische Mathematik;
• IMA Journal Numerical Analysis;
• Journal of Integral Equations and Applications; • Electronic Transactions in Numerical Analysis; • Computing;
• Applied Numerical Mathematics; • Numerical Algorithms;
• Journal of Computational and Applied Mathematics.
5 Conference contribututions
• Numerical approximation of decreasing integral operators, Montecatini Terme (Italy), 1998;
• Relaxed nonlinear solvers for discrete Hammerstein equations arising in transport theory, Venice (Italy), 1998;
• Computing fixed points of decreasing operators by relaxed iterations, with M. Vianello, Kiel (Germany), 1998.
• A Nystr¨om-Fejer-Picard solver for nonlinear integral equations in transport theory, with M. Vianello, and E.Facchinello, Naples (Italy), 1999.
• Chebyshev-like compression of discrete integral operators, International Congress on Computational and Applied Mathematics, Leuven (Belgium), 2000.
• A fast Nystr¨om-Broyden solver by Chebyshev compression, with S. De Marchi and M.Vianello, Huddersfield (GB), 2001.
• Adaptive bivariate Chebyshev approximation and efficient evaluation of in-tegral operators, with A. Mardegan, M. Vianello and R. Zanovello, NAcOM 2003, Cambridge (GB), May 2003.
• Integration over the sphere, with K. Atkinson, Approximation and Har-monic Analysis, Auckland (New Zealand), February 8-11, 2005.
• Constructing cubature formulas from scattered data by RBF, with M. Vianello, Recent progress in Spline and Wavelet approximation, Rome (Italy), June 14-16, 2006.
• Computing Fekete and Lebesgue points: simplex, square, disk, S. Margherita di Pula (Italy), October 9-14, 2011.
• Fast variants of the Golub and Welsch algorithm for symmetric weight func-tions, Alba di Canazei (Italy), September 9-14, 2012.
6 Conferences Organization
• DWCAA 2009, Alba di Canazei, 2009; • DRWA 2010, Alba di Canazei, 2010; • DRWA 2011, Alba di Canazei, 2011; • DWCAA 2012, Alba di Canazei, 2012; • DRWA 2013, Alba di Canazei, 2013. • DRWA 2014, Alba di Canazei, 2014.
7 Participation to national and international scientific projects • Multivariate approximation by polynomial and radial bases, 12 months
(partecipant);
• Efficient approximation methods for nonlocal discrete transforms, 12 months (partecipant);
• Numerical treatment of ill-posed linear problems with applications, 12 months (partecipant);
• Interpolazione ed Estrapolazione: nuovi algoritmi ed applicazioni (Inter-polation and Extra(Inter-polation: new algorithms and applications), 24 months (partecipant);
• Multivariate approximation with application to image reconstruction, 24 months (partecipant);
8 Other titles
• Member of the Committee for Teaching loads (e.g. Commissione Istruttoria per l’Attribuzione degli Impegni Didattici), Department of Mathematics, University of Padua, 2009-2010-2011;
• Member of the Committee for Teaching loads (e.g. Commissione Istrutto-ria per l’Attribuzione degli Impegni Didattici), Department of Mathemat-ics,University of Padua, 2013-2014;
• Member of Committee for Research Grant, ISMAR, Venice, February 2013; • Jury memeber of the Ph.D. defense Quasi-Monte Carlo in moderate dimen-sions. Chebyshev lattices, numerical integration and particle filters by Koen Poppe (supervisor: R. Cools), October 2012, KU Leuven, Belgium.
• Member of Committee for Research Grant, Department of Mathematics, University of Padua, 7 gennaio 2014;
• Membro del CAA: Padova-Verona research group on Constructive Approx-imation and Applications.
9 Teaching experience
of Padua (1999)
• Numerical Analysis and Computer Programming, with M. Vianello, Degree in Chemistry and Industrial Chemistry, University of Padua (1999).
• Computer Science, with S. Dulli, Degree in Statistics and Computer Science, University of Padua (1999).
• Equazioni integrali with M. Lanza De Cristoforis,Ph.D. in Pure and Applied Mathematics, University of Padua (2004).
• Introduction to Numerical Analysis, with M. Vianello, lessons to High School Teachers , University of Padua (2006).
• Numerical Analysis, advanced course, with F. Marcuzzi and M. Vianello, Degree in Computer Science, University of Padua (2006).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Computer Science, University of Padua (2006).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Mathe-matics, University of Padua (2007).
• Numerical Analysis and Computer Programming, Laurea in Scienza dei Materiali, University of Padua, (2007);
• Numerical Analysis, advanced course, with M. Vianello and R. Zanovello, Degree in Mathematics, University of Padua (2007).
• Numerical Analysis, advanced course, with F. Marcuzzi and M. Vianello, Degree in Computer Science, University of Padua (2007).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Mathe-matics, University of Padua (Nov. 2007).
• Numerical Analysis, advanced course, with M. Vianello and R. Zanovello, Degree in Mathematics, University of Padua (2008).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Computer Science, University of Padua (2008).
• Numerical Analysis, with M. Venturin and M. Vianello, Degree in Mathe-matics, University of Padua (Nov. 2008).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Mathe-matics and Degree in Computer Science, University of Padua (2009). • Numerical Analysis, advanced course, with M. Vianello, Degree in
Mathe-matics and Degree in Computer Science, University of Padua (2010). • Numerical Analysis, Laurea in Astronomia, University of Padua
(Oct.2011-Jan.2012, Academic year 2011-2012).
• Numerical Analysis, with M. Vianello, Degree in Mathematics, University of Padua (Oct.2012-Jan.2012, Academic year 2012-2013).
• Numerical Analysis, advanced course, with M. Vianello, Degree in Math-ematics, University of Padua (Mar. 2013-June 2013, Academic year 2012-2013).
• Numerical Analysis and Computer Programming, with M. Vianello, Lau-rea in Astronomia, University of Padua (Oct.2013-Jan.2013, Academic year 2013-2014).
10 Publications
10.1 Authors with whom he has collaborated
International authors:
• Kendall Atkinson (University of Iowa), • Jean-Paul Calvi (Universit´e Paul Sabatier), • Norman Levenberg (Indiana University),
• Gerard Meurant (Commissariat a l’Energie Atomique, CEA, Paris), • Francesca Rapetti (Universit´e de Nice Sophia-Antipolis),
• Ian Hugh Sloan (University of New South Wales), • Robert S. Womersley (University of New South Wales). National authors:
• L. Bos (University di Verona), • M. Caliari (University di Verona), • S. De Marchi (University of Padua), • M. Vianello (University of Padua), • R. Zanovello (University of Padua), Students:
• M. Briani (University of Padua), • G. Da Fies (University of Padua), • E. Facchinello (University of Padua), • M. Festa (University of Padua), • M. Gentile (University of Padua), • M. Marchioro (University of Padua), • A. Mardegan (University of Padua), • A. Punzi (University of Padua), • G. Santin (University of Padua).
10.2 List of publications
(1) Approximating fixed-points of decreasing operators in spaces of contin-uous functions, with M. Vianello, Numerical Functional Analysis and Optimization, Volume 19, n. 5/6 (1998), 635-646.
(2) Constructive analysis of purely integral Boltzmann models, with M. Vianello, Journal of Integral Equations and Applications, 11 (1999), 393-404.
177-185.
(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.
(5) Relaxed Picard-like methods for nonlinear integral equations arising in transport theory, with E. Facchinello and M.Vianello, Applied and In-dustrial Mathematics. Venice 2, 1998, Kluwer Academic Publishers, Dor-drecht (2000).
(6) Positive multiplication preserves dissipativity in commutative C∗ - alge-bras, with M. Vianello, J. Inequal. Appl., 6 (2001), 247-251.
(7) Analisi costruttiva and numerica per una classe di equazioni di Hammer-stein della teoria del trasporto, Bollettino UMI, Supplemento Speciale Tesi di Dottorato. In italian.
(8) Fast summation of power series with coefficients analytic at infinity, with M. 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, NA-cOM (2003), 115-120.
(10) A fast Nystr¨om-Broyden solver by Chebyshev compression, Numerical Algorithms, 38 (2005), 47-60.
(11) Adaptive bivariate Chebyshev approximation, with M. Vianello and Re-nato Zanovello, Numerical Algorithms, 38 (2005), 70-94.
(12) Quadrature over the sphere, with Kendall Atkinson, Electronic Transac-tions in Numerical Analysis, 20 (2005), 104-118.
(13) On the numerical solution of some semilinear elliptic problems II, with Kendall Atkinson, Computing, 74 (2005), 159-175.
(14) Numerical cubature on scattered datas by Radial Basis Functions, with M. Vianello, Computing 76 (2005), 295-310.
(15) Integration by RBF over the Sphere, with R.S. Womersley. Preprint UNSW, AMR05 17.
(16) Meshless cubature by Green’s formula, with M. Vianello, Applied Math-ematics and Computation, Volume 183, Issue 2, 15 December 2006, 1098-1107.
(17) Product Gauss cubature over polygons based on Green’s integration for-mula, with M. Vianello, BIT Numerical Mathematics, 47 (2007), 441-453. (18) Approximation on the sphere using radial basis functions plus polynomi-als, with I.H. Sloan, Advances in Computational Mathematics, Volume 29, Number 2 / August (2008), 147-177.
(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.
(21) Gauss-Green cubature and moment computation over arbitrary geome-tries, with M. Vianello, Journal of Computational and Applied Mathe-matics, 231 (2009), 886-896.
(22) A numerical code for fast interpolation and cubature at the Padua points, with M. Caliari, S. De Marchi and M.Vianello. J. Vigo Aguiar. Proceed-ings of the 9th CMMSE. Gijon (Spagna), Giugno 30-Luglio 3, 2009, vol. 1, 218-228.
(23) Computing approximate Fekete points by QR factorisations of Vander-monde matrices, with M. Vianello, Comput. Math. Appl., 57 (2009), 1324-1336.
(24) Approximate Fekete points for weighted polynomial interpolation, with M. Vianello, Electron. Trans. Numer. Anal., 37 (2010), 1-22.
(25) Computing multivariate Fekete and Leja points by numerical linear alge-bra, with L. Bos, S. De Marchi and M.Vianello, SIAM J. Numer. Anal., 48 (2010), 1984-1999.
(26) Least-squares polynomial approximation on weakly admissible meshes: disk and triangle, with L. Bos and M. Vianello, J. Comput. Appl. Math. 235 (2010), 660-668.
(27) Geometric Weakly Admissible Meshes, Discrete Least Squares Approx-imations and Approximate Fekete Points, with L. Bos, J.P. Calvi, N. Levenberg and M.Vianello, Math. Comp., 80 (2011), 1601-1621.
(28) Padua2DM: fast interpolation and cubature at the Padua points in Mat-lab/Octave, with M. Caliari, S. De Marchi and M.Vianello, Numer. Al-gorithms, 56 (2011), 45-60.
(29) Weakly Admissible Meshes and Discrete Extremal Sets, with L. Bos, S. De Marchi and M.Vianello, Numer. Math. Theory Methods Appl,, 4 (2011) 1-12.
(30) An algebraic cubature formula on curvilinear polygons, with G. Santin, M.Vianello, Appl. Math. Comput. 217 (2011), 10003-10015.
(31) Polynomial interpolation and cubature over polygons, with M. Gentile and M.Vianello, J. Comput. Appl. Math. 235 (2011), 5232-5239.
(32) On multivariate Newton interpolation at Discrete Leja points, with L. Bos, S. De Marchi and M. Vianello, Dolomites Res. Notes Approx. DRNA 4 (2011), 15-20.
(33) Computing Lebesgue and Fekete points in Matlab, with M. Briani and M.Vianello, J. Comput. Appl. Math., 236 (2012), 2477-2486.
(34) Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder, with S. De Marchi and M. Marchioro, Appl. Math. Comput., Vol. 218 (2012), 10617-10629.
(35) On the generation of symmetric Lebesgue points in the triangle, with F. Rapetti and M.Vianello, J. Comput. Appl. Math. 236 (2012), 4925-4932. (36) Computing almost minimal formulas on the square, with M. Festa, J.
Comput. Appl. Math. 236 (2012), 4296-4302.
(38) Fast variants of the Golub and Welsch algorithm for symmetric weight functions, with G. Meurant, accepted for publication by Numer. Algo-rithms.
(39) Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions, Comput. Math. Appl., Volume 65, Issue 4, February 2013, 682-693.
(40) Polynomial approximation and quadrature on geographic rectangles, with M. Gentile and M.Vianello, minor revision, J. Comput. Appl. Math.. (41) Compression of multivariate discrete measures and applications, with
M.Vianello, submitted to Numerical Functional Analysis and Optimiza-tion.
(42) Multivariate Christoffel functions and hyperinterpolation, with S. De Marchi and M.Vianello, minor revision, Dolomites Res. Notes Approx.
Venice, July 15, 2014
