Degrees

  • B.Sc in "Mathematics'', 1993, University of Padua, with the thesis "A numerical method for a class of fixed point equations''.
  • Ph.D. in "Computational Mathematics'', 08-02-1999, University of Padua, with the thesis "Constructive and Numerical Analysis for a class of Hammerstein equations arising in transport theory'' [PDF]
Positions

  • Research Grant: "MAST III PACE'' Roma III (November 20,1998-March 20,1999).
  • Research Fellowship: "Numerical analysis of integral and differential models of applied sciences'' University of Padua (April 1, 1999-August 31, 2002). [PDF]
  • Post-Doc Fellowship: "Fast methods for integral equations'', Department of Pure and Applied Mathematics, University of Padua (September 1, 2002-August 31, 2004). [PDF]
  • Research Associate: School of Mathematics, University of New South Wales (Australia) (September 1, 2004-December 1, 2005). [PDF]
  • Lecturer (Assistant Professor) in Numerical Analysis: University of Padua (March 2006-October 2014). [PDF]
  • Associate Professor in Numerical Analysis: University of Padua (November 2014-). [PDF]
  • Full Professor Habilitation in Numerical Analysis, (period: 05/04/2018 - 05/04/2029). [PDF]
Referee Activity

  • Applied Mathematics and Computation,
  • Applied Numerical Mathematics,
  • BIT,
  • Calcolo,
  • Computing,
  • Dolomites Research Notes on Approximation
  • Electronic Transactions in Numerical Analysis,
  • IMA Journal Numerical Analysis,
  • Journal of Computational and Applied Mathematics,
  • Journal of Integral Equations and Applications,
  • Numerical Algorithms,
  • Numerische Mathematik,
  • Optimization Letters,
  • SIAM Numerical Analysis.
Research Activity

Author of more than 80 papers in Numerical Analysis, with particular interest in Approximation Theory and Numerical Integration.

Contributions in Conferences

  • "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 Nystrom-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 Nystrom-Broyden solver by Chebyshev compression'' (with S. De Marchi and M. Vianello), Huddersfield (GB), 2001.
  • "Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators'' (with A. Mardegan, M. Vianello and R. Zanovello), "NAcOM 2003", Cambridge (GB), May 2003, p.123-128.
  • "Integration over the sphere'' (with K. Atkinson), "Approximation and Harmonic Analysis", Auckland (New Zealand), 8-11 February 2005.
  • "Constructing cubature formulas from scattered data by RBF'' (with M. Vianello), "Recent progress in Spline and Wavelet approximation", Rome (I), June 14-16, 2006.
  • "Computing Fekete and Lebesgue points: simplex, square, disk", S. Margherita di Pula (I), October 9-14, 2011. [PDF]
  • "Fast variants of the Golub and Welsch algorithm for symmetric weight functions", 3rd Dolomites Workshop on Constructive Approximation and Applications Alba di Canazei (Trento, Italy), September 9-14, 2012.
  • "Compressed cubature over polygonal domains'' (with B.J. Bauman and M. Vianello), SIMAI 2018, Roma, July 2-6, 2018. [PDF]
  • "Numerical Quadrature and Hyperinterpolation over Spherical Triangles/Polygons by the dCATCH Package'' (with M. Dessole and M. Vianello), SIAM GS21, online, June 21-24, 2021. [PDF]
  • " Low cardinality Positive Interior cubature on NURBS-shaped domains'' (with M. Vianello), Software for Approximation (SA2022), February 3-4, 2022. [PDF]
  • "Tchakaloff-like polyhedral quadrature with and without tetrahedralization'' (with M. Vianello), FAATNA 20 > 22, July 4-8, 2022. [PDF]
  • "On some theorems by Tchakaloff, Davis and Wilhelmsen and their applications'' , Probabilistic methods, Signatures, Cubature and Geometry, January 9-11, 2023, University of York (UK), invited talk. [PDF]
  • " On the numerical compression of QMC rules", Constructive approximation of functions 3, February 22-24, 2023, Krakow, Poland, [PDF]

Conferences/Workshops organization

Scientific participation to national and internationals research projects and research grants

  • Efficient approximation methods for nonlocal discrete transforms, CPDA028291, 12 months (as participant);
  • Interpolazione ed Estrapolazione: nuovi algoritmi ed applicazioni (Interpolation and Extrapolation: new algorithms and applications), CPDA089040, 24 months (as partecipant, 2009-2011), [HTML]
  • Numerical treatment of ill-posed linear problems with applications, CPDA104492, 12 months (as participant, 2011-2013), [HTML].
  • Multivariate approximation by polynomial and radial bases, 12 months (as participant, 2012), [PDF].
  • Multivariate approximation with application to image reconstruction, CPDA124755, 24 months, (as participant, 2013-2014), [PDF].
  • Approximation and Discretization Methods for PDEs on Manifolds for Environmental Modeling, BIRD163015 (as participant, 2017-2018). [PDF]
  • Conditioning issues in multivariate approximation and image reconstruction, CPDA143275, 24 months (21.8K, as responsible, 2015-2017), [PDF].
  • Methods, algorithms and applications of multivariate approximation, 12 months (19.5 k, as participant, 2018-2019) [HTML], [PDF], [PDF]
  • Horizon 2020 ERA-PLANET European project: GEOEssential Essential Variables workflows for resource efficiency and environmental management (as participant), [HTML].
  • Discretization of measures, approximation of integral operators and applications, 12 months (as participant, 2019), [PDF]
  • Numerical Modelling by Tchakaloff-like Cubature, BIRD 192932 (peer-review score 92.4/100, 14 kEuros, 6 members, as participant, 2020-2021), [PDF].
  • GNCS, Approssimazione multivariata ed equazioni funzionali per la modellistica numerica (12 months, 6.4 kEuros, as participant, 2020-2021). [PDF]
  • GNCS, Methods and software for multivariate integral models (12 months, 2.1 kEuros, as responsible, 2021-2022)
  • Grant for hiring a research associate, project title Metodi di approssimazione su domini di tipo NURBS/Approximation methods on NURBS-shaped domains, (12 months, 20 kEuros, as responsible, 2022)
  • GNCS, Organizzazione Convegni Scuole e Workshop, CUP E55F22000270001 (0.8 kEuros, as responsible, 2022-2023) [PDF]
  • GNCS, Approssimazione ed integrazione multivariata con applicazioni ad equazioni integrali (12 months, 6.6 kEuros, as participant, 2022-2023)
  • GNCS, Metodi kernel e polinomiali per l'approssimazione e l'integrazione: teoria e software applicativo (12 months, 5.4 kEuros, as participant, 2023-2024)
Duties

  • PhD jury, Quasi-Monte Carlo in moderate dimensions. Chebyshev lattices, numerical integration and particle filter, Koen Poppe (supervisor: R. Cools), October 2012, KU Leuven, Belgium; [PDF]
  • Research fellowship committee, ISMAR, Venezia, February 2013; [PDF]
  • Research fellowship committee (responsible of the grant: M. Redivo Zaglia), Department of Mathematics, University of Padua, January 7, 2014; [PDF]
  • Research fellowship committee, "Krylov Methods for Bilinear forms and applications" (responsible of the grant: M. Redivo Zaglia), University of Padua, 2016;
  • Member of Ph.D. selection committee in Computational Mathematics (University of Padua), July 2015.
  • PhD jury, Comm. 141, Pozza Stefano, University of Padua, October 7, 2015.
  • PhD referee, Sai Vidya Institute of Technology, Bengaluru (India), November 15, 2018.
  • Research fellowship committee (responsible of the grant: M. Vianello), "Numerical modelling by Caratheodory-Tchakaloff Quadrature Compression", Progetto Assegni SID 2018/DOR Vianello, Department of Mathematics, University of Padua, November 29, 2018;
  • Research fellowship committee (responsible of the grant: F. Marcuzzi), "Metodi di gradiente prossimali per l'identificazione di sistemi", Department of Mathematics, University of Padua, May 20, 2019 (Prot. n.607, May 3, 2019);
  • PhD jury, Dr. Giada Serafini, University of Basilicata, May 28, 2019.
  • Evaluation Committee (job vacancies in Mathematics for Engineering), University of Padua, July 4, 2019. [PDF]
  • Member of an examining board (hiring Lecturer of B-type, selection 2019RUB14), University of Padua, December-April 2020 [PDF].
  • Research fellowship committee (responsible of the grant: F. Marcuzzi), "Digital twins di sistemi termodinamici e meccanici controllati", Department of Mathematics, University of Padua, October 9, 2020 (Prot. n.215, September 21, 2020);
  • Member of an examining board (hiring Lecturer of A-type, selection 2021RUAPON - REACT EU, allegato 32), University of Padua, November 2021 [PDF].
  • Member of an examining board (hiring Lecturer of A-type, selection 424/RTDA_DM1062), University of Turin, November 2021 [PDF].
  • Research fellowship committee (responsible of the grant: F. Marcuzzi), "Numerical linear algebra for multivariate polynomial modelling", Department of Mathematics, University of Padua, January 28, 2022 (Decreto Rep. 9/2022, Prot. n.244, Anno 2021, Tit. III, Cl. 13, Fasc. 115, January 27, 2022); [PDF].
  • Research fellowship committee (responsible of the grant: A. Sommariva) University of Padua, November 2022 [HTML].
  • Member of a Ph.D. Committee: final exam of the Ph.D. course in Mathematical Sciences (Computational Mathematics): March 28, 2023, Padua. [PDF]
  • Member of an examining board (hiring Lecturer of B-type), Commissione giudicatrice della procedura selettiva 2023RUB06, Sep. 20, 2023, University of Padua; meetings: October 30, 2023; November 6, 2023; December 18, 2023; January 15, 2023;
  • Member of a Committee: Commissione istruttorie per la valutazione delle domande di partecipazione al bando ''Avviso di vacanza insegnamenti A.A. 2023/24 - D140000-1039975-2023'', Nov. 24, 2023, .
  • Member of a Committee : Commissione di selezione per l'ammissione ai Corsi di dottorato di ricerca riservata a candidati cinesi con borsa finanziata dal China Scholarship Council e a Borsisti di Stati Esteri (BSE), a.a. 2024/2025, XL ciclo, Dec. 15, 2023; meeting: January 19, 2024.
  • Member of a Committee: Designazione dei componenti della Commissione istruttoria per la valutazione delle domande di partecipazione al bando Avviso di vacanza insegnamenti A.A. 2023/24 - D140000-1040755-2023, 2 Feb. 2024; meeting: February 8, 2024.
Memberships and editorial duties

Prizes

  • Quadrature-based polynomial optimization with A. Martinez, F. Piazzon and M. Vianello, Optim. Lett. 14 (2020), pp.1027-1036, co-winner of the OPTL Best Paper Awards for 2020.
  • Mural for 100th anniversary of the Polish Mathematical Society at the Jagiellonian University, In the mural are painted the Approximate Fekete and Discrete Leja Points for polynomial interpolation of degree 6 on a 270 degree circular sector, computed by the methods developed in the paper Computing multivariate Fekete and Leja points by numerical linear algebra,
    with L. Bos, S. De Marchi and M. Vianello, SIAM J. Numer. Anal. 48 (2010), pp.1984-1999.


Invited talks



Teaching experience

  • "Mathematical Analysis II'' (with L. Finesso), Degree in Electronical Engineering, University of Padua (1999)
  • "Numerical Analysis and Computer Programming'' (with M. Vianello), Degree in Chemistry and Industrial Chemistry, University of Padua (1999).
  • "Computer Programming I'' (with S. Dulli), Degree in Statistics and Computer Science, University of Padua (1999).
  • "Introduction to Matlab'' (with R. Zanovello), Degree in Statistics, University of Padua (2000-2001).
  • "Numerical Analysis'' (with R. Vermiglio), Degree in Mathematics, University of Udine (2002).
  • "Integral Equations'' [PDF] (with M. Lanza), Ph. D. Students in Pure and Applied Mathematics, University of Padua (2004).
  • "Introduction to Numerical Analysis'' (with M. Vianello), Teaching Mathematics, University of Padua (2006).
  • "Numerical Analysis'' (with F. Marcuzzi and M. Vianello), Degree in Computer Science, University of Padua (Apr.2007-June 2007, 16h).
  • "Numerical Analysis II'' (with M. Vianello), Degree in Computer Science, University of Padua (2006, 14h).
  • "Numerical Analysis'' (with M. Vianello), Degree in Mathematics, University of Padua (Nov. 2006-Dec.2006, 12h).
  • "Numerical Analysis and Computer Programming (Mod. B)'', Degree in Science of Materials, University of Padua, (Dec. 2006-Feb.2007, as principal investigator, 24h+2h);
  • "Numerical Analysis'' (M. Vianello), Degree in Computer Science, University of Padua (Apr 2007-June 2007, 16h).
  • "Numerical Analysis II'' (M. Vianello), Degree in Mathematics, University of Padua (Feb 2007-March 2007, 14h).
  • "Numerical Analysis II'' (with M. Vianello and R. Zanovello, 12h), Degree in Mathematics, University of Padua (Febr.2008-Mar.2008, 14h).
  • "Numerical Analysis'' (M. Vianello), Degree in Computer Science, University of Padua (Apr 2008-June 2008, 16h).
  • "Numerical Analysis'' (with M. Venturin and M.Vianello), Degree in Mathematics, Astronomy, Earth Sciences, University of Padua (Nov. 2008-Dec.2008, 12h+4h).
  • "Numerical Analysis II'' (with M.Vianello), Degree in Mathematics and Degree in Computer Science, University of Padua (Jan. 2009, 12h).
  • "Numerical Analysis'' (with M.Vianello), Degree in Mathematics, University of Padua (Apr.2010June 2010, 14h+2h).
  • "Numerical Analysis II'' (with M.Vianello), Degree in Mathematics and Degree in Computer Science, University of Padua (Apr. 2012-June 2012, 10h).
  • "Numerical Analysis I" Degree in Astronomy, University of Padua (Oct.2011-Jan.2012, as responsible, 64h+2h).
  • "Numerical Analysis I'' (with M.Vianello), Degree in Mathematics, University of Padua (Nov.2012-Jan.2013, 16h).
  • "Numerical Analysis II'' (with M.Vianello), Degree in Mathematics, University of Padua (Mar.2013-Jun.2013, 40h).
  • "Numerical Analysis and Computer Programming" Degree in Astronomy, University of Padua (Oct.2013-Jan.2014, 24h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2014-Jun.2014, as responsible, 64 h).
  • "Calculus'' (with A. Benvegnu'), Degree in Statistics, University of Padua (Oct.2014-Jan.2014, as responsible, 54 h).
  • "Numerical Analysis I" (with M. Redivo Zaglia), Degree in Computer Science, University of Padua (Mar.2015-Jun.2015, 8h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2015-Jun.2015, as responsible, 64 h).
  • "Calculus'' (with A. Cesaroni), Degree in Statistics, University of Padua (Oct.2015-Jan.2016, 53h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2016-Jun.2016, as responsible, 64 h).
  • "Numerical Analysis I" (with M. Redivo Zaglia, S. Pozza), Degree in Computer Science, University of Padua (Mar.2016-Jun.2016. 8h).
  • "Calculus'' (with A. Cesaroni), Degree in Statistics, University of Padua (Oct.2016-Jan.2017, 40h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2017-Jun.2017, as responsible, 64 h).
  • "Numerical Analysis I" (with M. Redivo Zaglia), Degree in Computer Science, University of Padua (Mar.2017-Jun.2017, 16h).
  • "Calculus'' (with A. Cesaroni), Degree in Statistics, University of Padua (Oct.2017-Jan.2018, 40h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2018-Jun.2018, as responsible, 64 h).
  • "Numerical Analysis I" (with M. Redivo Zaglia), Degree in Computer Science, University of Padua (Mar.2018-Jun.2018, 16h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2019-Jun.2019, as responsible, 64 h).
  • "Numerical Analysis I'' (with D. Poggiali), Degree in Engineering, University of Padua (Mar.2019-Jun.2019, as responsible, 64h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2020-Jun.2020, as responsible, 64 h).
  • "Numerical Analysis I'' (with G. Sarego), Degree in Engineering, University of Padua (Mar.2020-Jun.2020, as responsible, 56h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2021-Jun.2021, as responsible, 64 h).
  • "Numerical Analysis I'' (with F. Piazzon), Degree in Engineering, University of Padua (Mar.2021-Jun.2021, as responsible, 56h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2022-Jun.2022, as responsible, 64 h).
  • "Numerical Analysis I'' (with F. Marchetti), Degree in Engineering, University of Padua (Mar.2022-Jun.2022, as responsible, 56h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2023-Jun.2023, as responsible, 64 h).
  • "Numerical Analysis I'' (with E. Bachini), Degree in Engineering, University of Padua (Mar.2023-Jun.2023, as responsible, 56h).
  • "Numerical Analysis II'' , Degree in Mathematics, University of Padua (Mar.2024-Jun.2024, as responsible, 64 h).
  • "Numerical Analysis I'' (with G. Elefante), Degree in Engineering, University of Padua (Mar.2024-Jun.2024, as responsible, 56h).
Teaching indicators

  • 2014-2015: [PDF]
  • 2015-2016: [PDF]
  • 2016-2017: [PDF]
  • 2017-2018: [PDF]
  • 2018-2019: [PDF]
  • 2019-2020: Calcolo Numerico: [PDF], Analisi Numerica: [PDF]
  • 2020-2021: Calcolo Numerico: [PDF], Analisi Numerica: [PDF]
  • 2021-2022: Calcolo Numerico: [PDF], Analisi Numerica: [PDF]
  • 2022-2023: Calcolo Numerico: [PDF], Analisi Numerica: [PDF]
Supervisory experience

  • E. Facchinello: "Analysis and implementation of a numerical solver for nonlinear 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). [A.A. 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 circolari'' (with M. Vianello). [A.A. 2005-2006]
  • G. Da Fies: "A RBF cubature rule for scattered data on domains with spline boundary'' (with M. Vianello). [A.A. 2006-2007]
  • S. Bressan: "Rappresentazione dei reali nel calcolatore e calcolo con numeri approssimati: un percorso didattico per le scuole secondarie'' (with M. Vianello). [A.A. 2007-2008]
  • F. Basaglia: "A new cubature method over polygons" (with M. Vianello).
  • M. Marchioro: "Approssimazione polinomiale e cubatura su mesh debolmente ammissibili del parallelepipedo, del cilindro e del prisma a base triangolare" (with S. De Marchi). [A.A. 2009-2010]
  • G. Orzetti: "Approssimazione polinomiale su mesh debolmente ammissibili della palla e del tetraedro" (with M. Vianello). [A.A. 2009-2010]
  • M. Briani: "Calcolo di punti quasi ottimali per l'interpolazione polinomiale sul triangolo" (with M. Vianello). [A.A. 2009-2010]
  • M. Gentile: "Un algoritmo per la quadrangolazione convessa di poligoni" (with M. Vianello). [A.A. 2009-2010]
  • S. Ballan: "Confronti di metodi per l'integrazione numerica di Gaussiane bivariate su poligoni" (with M. Vianello). [A.A. 2010-2011]
  • L. Mezzalira: "Calcolo di punti quasi ottimali per l'interpolazione polinomiale sull'intervallo, il quadrato e il disco". [A.A. 2010-2011]
  • M. Festa: "Calcolo di formule minimali sul quadrato". [A.A. 2010-2011]
  • J. Cacco: "Un metodo polinomiale per il calcolo di funzioni di matrici non simmetriche basato sui punti di Leja" (with P. Novati). [A.A. 2010-2011]
  • D. Montagner: "Quadratura di Fejer e Clenshaw-Curtis via DCT e DST, e sue applicazioni" [A.A. 2011-2012]
  • A. Pinto: "Punti di Lebesgue sul disco" (with F. Rinaldi) [A.A. 2011-2012]
  • M. Gentile: "Interpolazione polinomiale e cubatura algebrica su sottoregioni della sfera" (with M. Vianello). [A.A. 2012-2013]
  • L. Mezzalira: "Cubatura adattativa su toro e sfera" (with M. Vianello). [A.A. 2012-2013]
  • C. Bittante: "Una nuova tecnica di cubatura quasi-Monte Carlo su domini 2D e 3D" (with S. De Marchi). [A.A. 2013-2014]
  • M. Zaccaron: "Discrete orthogonal polynomials and hyperinterpolation over planar regions" (with M. Vianello). [July, 25th, 2014]
  • G. Conedera "Formule di cubatura minimali per il disco" (with M. Vianello). [February 12th, 2015]
  • G. Bergamasco, "Positive cubature formulas on normal domains" (with M. Vianello). [A.A. 2014-2015]
  • M. Agugiaro "Formule di cubatura su unioni di dischi". [December 4th, 2015]
  • R. Viero "Formule di cubatura attraverso programmazione lineare semi-infinita" (with M. Vianello). [July 21th, 2017]
  • L. Favero "Iperinterpolazione di tipo Tchakaloff". [April 19th, 2019]
  • E. Bazza "Cubatura su poligoni curvilinei". [December 12th, 2019]
  • F. Santin "Cubatura su poligoni curvilinei". [April 27th, 2020]
  • F. Zuccolotto "Alcuni esperimenti numerici sulle matrici di Vandermonde e le iterazioni del metodo di Arnoldi.". [December 10th, 2020]
  • L. Salzano "Su una formula di J. B. Lasserre relativa all'integrazione sul simplesso". [December 10th, 2020]
  • E. Caregnato "Sulla filtered hyperinterpolation in domini multivariati". [December 14th, 2022]
  • F. Lopez "Iperinterpolazione filtrata su domini bivariati con bordo di tipo NURBS". [June 29th, 2023]
  • S. Alessi "Cubatura adattiva su domini poligonali". [December 11th, 2023]
  • R. Cazzin "Soluzione numerica di equazioni integrali di Fredholm su domini poligonali". [December 11th, 2023]
  • A. Duse "Iperinterpolazione ibrida su domini multivariati". [December 11th, 2023]
  • M. Santoro "Una suite MATLAB per la compressione QMC su domini bivariati" [February 23th, 2024]
  • F. Feletto, "Mesh ammissibili in campo complesso e approssimazione numerica della loro costante di Lebesgue" [April 16th, 2024]
Publications

Other info



Curriculum vitae

  • [PDF] (2024, in italian, long CV)
  • [PDF] (2024, in italian, short CV)
  • [PDF] (2022, in english, long CV)
  • [PDF] (2023, in english, short CV)