Alvise Sommariva

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, University of Padua, with the thesis "Constructive and numerical analysis for a class of Hammerstein equations arising in transport theory".

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).

• Post-Doc Fellowship "Fast methods for integral equations'', Department 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).

• Lecturer (Assistant Professor) in Numerical Analysis: University of Padua (March 2006-October 2014).

• Associate Professor in Numerical Analysis: University of Padua (November 2014-).

• Full Professor Habilitation in Numerical Analysis (GSG: 01/MATH05, SSD: MATH-05/A, period: 05/04/2018 - 05/04/2030).

  Periods abroad

• from February to March 2004, University of Iowa (USA), collaboration with K. Atkinson. 

• from September 1, 2004 to December 1, 2005, Research Associate presso la School of Mathematics, Sydney, University of New South Wales (Australia). 

• from October 1 to October 15, 2023, Visiting Professor at the Institute of Mathematics of the Jagiellonian University, Krakow (PL), invited by L.Bialas-Ciez. 

• from December 3 to December 17, 2024, Visiting Professor at the Institute of Mathematics of the Jagiellonian University, Krakow (PL), invited by L.Bialas-Ciez. 

Supervision of research associates

• Giacomo  Elefante, project “Metodi di approssimazione su domini di tipo NURBS / Approximation methods on NURBS-shaped domains” (Feb. 2023-Jan. 2024).

• Laura Rinaldi, project "Tchakaloff-Davis-Wilhelmsen measure compression and applications to numerical modelling" (Jan. 2025-).

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 Approximation Software,

• Journal of Computational and Applied Mathematics,

• Journal of Integral Equations and Applications,

• Numerical Algorithms,

• Numerische Mathematik,

• Optimization Letters,

• SIAM Numerical Analysis.

  Seminars

• May 22,1998, Approssimazione numerica di punti fissi di operatori decrescenti, Dipartimento di Matematica e Informatica, Universita’ degli Studi di Udine (I). 

• October 18, 2024, Calcolo numerico di integrali definiti su intervalli limitati nell’ambito di Cinque incontri per i   Lincei-Istituto veneto di Scienze, Lettere ed Arti, Venezia (I). 

• December 9, 2024, Numerical implementations of Gaussian rules, Department of Mathematics, Jagellonian University, Krakow (PL). 

•  December 11, 2024, On the application of tensorial rules, Pedagogical University of Krakow, Krakow (PL). 

Contributions in Conferences

• Numerical approximation of decreasing integral operators, Montecatini Terme, April 15-17, 1998;

• Relaxed nonlinear solvers for discrete Hammerstein equations arising in transport theory, Venice-2. Symposium on Applied and Industrial Mathematics, Venezia (I), June 11-16, 1998;

• Computing fixed points of decreasing operators by relaxed iterations, with M. Vianello, GAMM-Workshop on Iterative methods for solving equations, Kiel (D), July 3-5,1998.

• A Nystrom-Fejer-Picard solver for nonlinear integral equations in transport theory, with M. Vianello e E.Facchinello, Napoli (I), 1999.

• Chebyshev-like compression of discrete integral operators (con M. Vianello e S. De Marchi), International Congress on Computational and Applied Mathematics, Leuven (B), June 17-21, 2000.

• A fast Nystrom-Broyden solver by Chebyshev compression, with S. De Marchi and M. Vianello, Algorithms for Approximation IV, Huddersfield (GB), July 16-21, 2001.

• Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators, with A. Mardegan, M. Vianello e R. Zanovello, NAcOM 2003, Cambridge (GB), May 23-26, 2003, p.123-128.

• Integration over the sphere, with K. Atkinson, Approximation and Harmonic Analysis, Auckland (NZ), February 8-11, 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, October 9-14, 2011.

• Fast variants of the Golub and Welsch algorithm for symmetric weight functions, 3rd Dolomites Workshop on Constructive Approximation and Applications Alba di Canazei (Trento), September 9-14, 2012.

• Polynomial interpolation and quadrature on subregions of the sphere, with M. Gentile and M. Vianello, SIAM Conference on Mathematical and Computational Issues in the Geosciences (SIAM GS13) Padua (I) June 17-20 2013, poster presentation.

• Quadrature of Quadratures: Compressed Sampling by Tchakaloff Points, with F. Piazzon and M. Vianello. 4th Dolomites Workshop on Constructive Approximation and Applications Alba di Canazei (Trento, I), September 8-13 2016, poster presentation.

• Compressed cubature over polygonal domains, with B.J. Bauman e M. Vianello, SIMAI 2018, Rome (I), July 2-6, 2018.

• Numerical Quadrature and Hyperinterpolation over Spherical Triangles/Polygons by the dCATCH Package, with M. Dessole e M. Vianello, SIAM GS21, online, June 21-24, 2021.

• Low cardinality Positive Interior cubature on NURBS-shaped domains, with M. Vianello, Turin (I), Software for Approximation (SA2022), February 3-4, 2022, plenary speaker (online contribution).

• Tchakaloff-like polyhedral quadrature with and without tetrahedralization. with M. Vianello, Matera (I), FAATNA 20 > 22, July 4-8, 2022.

• On some theorems by Tchakaloff, Davis and Wilhelmsen and their applications, York (GB), January 9-11, 2023.

• On the numerical compression of QMC rules, Constructive approximation of functions 3, Krakow (PL), February 22-24, 2023.

• On hyperinterpolation and its variants, A two days on Approximation Theory and Applications, a Conference in honor of Paolo Emilio Ricci on his 80th Birthday), Rome (I), May 23-24, 2024, invited talk.

• On unisolvence of unsymmetric random Kansa collocation, ATMA2024, Lecce (I), June 11-14, 2024.

• Cpolymesh: a Matlab/Python suite for complex polynomial approximation on Chebyshev-like polynomial meshes, DWCAA2024, Alba di Canazei (Trento, I), September 9-13, 2024, plenary speaker.

• Numerical cubature over scattered data, NAMAS-24 (dedicated to Ezio Venturino), Gaeta (I), September 16-20, 2024, plenary speaker, paid by organizers.

• Gli albori della quadratura numerica, Metodi e Modelli Analitici, Numerici e Probabilistici per Problemi di Fisica. In onore di Renato Spigler (invited speaker), Rome (I), January 29, 2025.

• Cheap and stable quadrature, International Workshop on Modern Problems of Analysis, Optimization, Approximation and Their Applications  (invited speaker), Rome (I), June, 26-27, 2025.

• Effective numerical integration on complex shaped elements by discrete signed measures, ATMA 2026, Rende (CS,I), January 27-30, 2026.

Invited talks

• Tchakaloff-like polyhedral quadrature with and without tetrahedralization. with M. Vianello, Matera (I), FAATNA 20 > 22, July 4-8, 2022, invited speaker, not paid by organizers.

• Constructive approximation of functions 3: 22-24 February, 2023, Krakow (PL), invited speaker, paid by organizers.

• A two days on Approximation Theory and Applications, a Conference in honor of Paolo Emilio Ricci on his 80th Birthday), Rome (I), May 23-24, 2024, invited speaker, not paid by organizers.

• Metodi e Modelli Analitici, Numerici e Probabilistici per Problemi di Fisica. In onore di Renato Spigler, Rome (I), January 29, 2025,  invited speaker, not paid by organizers.

• International Workshop on Modern Problems of Analysis, Optimization, Approximation and Their Applications,  invited speaker, Rome (I), June, 26-27, 2025, invited speaker, not paid by organizers.

Plenary talks

• Low cardinality Positive Interior cubature on NURBS-shaped domains, with M. Vianello, Turin (I), Software for Approximation (SA2022), February 3-4, 2022, plenary speaker (online contribution).

• Probabilistic methods, Signatures, Cubature and Geometry, 9-11 January, 2023, York (UK), plenary speaker, paid by organizers.

• Cpolymesh: a Matlab/Python suite for complex polynomial approximation on Chebyshev-like polynomial meshes, plenary speaker, DWCAA2024, Alba di Canazei (Trento, I), September 9-13, 2024;

• Numerical cubature over scattered data, NAMAS-24 (dedicated to Ezio Venturino), Gaeta (Latina, I), September 16-20, 2024, plenary speaker, paid by organizers.

Conferences/Workshops/Schools organization

• DWCAA 2006 (organizing committee)

• DRWA 2007 (organizing committee)

• DWCAA 2009 (organizing and program committee)

• DRWA 2010 (organizing committee)

• DRWA 2011 (organizing committee)

• DWCAA 2012 (organizing and program committee)

• DRWA 2013 (organizing committee)

• DRWA 2014 (organizing committee)

• DRWA 2015 (organizing committee)

• DWCAA 2016 (organizing and scientific committee)

• DRWA 2017 (organizing committee)

• DRWA 2018 (scientific committee)

• DRWA 2019 (organizing and scientific committee)

• DWCAA 2020 (organizing and scientific committee)

• DWCAA 2021 (organizing and scientific committee)

• RITA PhD seminars 2022 (organizing committee)

• ATMA2023 (organizing and scientific committee)

• SA23 (scientific committee)

• International Conference on Approximation Theory and Applications (scientific committee)

• International Online Workshop On Current Trends In Analysis And Approximation Theory (scientific committee)

• DRWA2023 (organizing and scientific committee)

• RITA Young Researchers Meeting 2024 (organizing and scientific committee)

• ATMA2024 (scientific committee)

• DWCAA2024 (organizing and scientific committee, organizer of the session Multivariate polynomial approximation and pluripotential theory, with F. Piazzon)

• Software for Approximation SA2025 (scientific committee)

• International Workshop on Modern Problems of Analysis, Optimization, Approximation and Their Applications (scientific committee)

• ATMA2026 (scientific committee)

• AASM 2026 (summer school, organizing and scientific committee)

Scientific participation to national and internationals research projects and research grants

• Efficient approximation methods for nonlocal discrete transforms, CPDA028291, 12 mesi (come partecipante);

• Interpolazione ed Estrapolazione: nuovi algoritmi ed applicazioni (Interpolation and Extrapolation: new algorithms and applications), CPDA089040, 24 months (as partecipant, 2009-2011);

• Numerical treatment of ill-posed linear problems with applications, CPDA104492, 12 months (as participant, 2011-2013);

• Multivariate approximation by polynomial and radial bases, 12 months (as participant, 2012);

• Multivariate approximation with application to image reconstruction, CPDA124755, 24 months, (as participant, 2013-2014);

• Approximation and Discretization Methods for PDEs on Manifolds for Environmental Modeling, BIRD163015 (as participant, 2017-2018);

• Conditioning issues in multivariate approximation and image reconstruction, CPDA143275, 24 months (21.8K, as responsible, 2015-2017);

• Methods, algorithms and applications of multivariate approximation,12 months (19.5 k, as participant, 2018-2019) ;

• Horizon 2020 ERA-PLANET European project: GEOEssential Essential Variables workflows for resource efficiency and environmental management, as participant;

• Discretization of measures, approximation of integral operators and applications, as participant, 2019;

• Numerical Modelling by Tchakaloff-like Cubature, BIRD 192932, peer-review score 92.4/100, 14K euro, 6 members, as participant, 2020-2021;

• GNCS, Approssimazione multivariata ed equazioni funzionali per la modellistica numerica;, 12 months, 6.4K euro, as participant, 2020-2021;

• GNCS, Methods and software for multivariate integral models, 12 months, 2.1K euro, 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 K euro, as responsible, 2022;

• GNCS, Organizzazione Convegni Scuole e Workshop, CUP E55F22000270001, 0.8 K euro, as responsible, 2022-2023;

• GNCS, Approssimazione ed integrazione multivariata with applicazioni ad equazioni integrali, 12 months, 6.6 K euro, as participant, 2022-2023;

• GNCS, Metodi kernel e polinomiali per l'approssimazione e l'integrazione: teoria e software applicativo, 12 months, 5.4 K euro, as participant, 2023-2024;

• Grant for hiring a research associate, project title Tchakaloff-Davis-Wilhelmsen measure compression and applications to numerical modelling, 12 months, 20 K euro, as responsible (substituting M. Vianello), 2024;

• GNCS, Polinomi, Splines e Funzioni Kernel: dall'Approssimazione Numerica al Software Open-Source, 12 months, 6.3 K euro, as participant, 2024-2025.

  Ph.D. related activities

• Ph. D. Course teacher, Equazioni integrali: aspetti teorici e computazionali (with M. Lanza De Cristoforis), Ph. D. Students in Pure and Applied Mathematics, University of Padua (2004).

• PhD jury, Quasi-Monte Carlo in moderate dimensions. Chebyshev lattices, numerical integration and particle filter, candidate Dr. Koen Poppe (supervisor: R. Cools), October 2012, KU Leuven, Belgium;

• Member of Ph.D. selection committee in Computational Mathematics (University of Padua), July 2015.

• PhD jury, Comm. 141, candidate Dr. Pozza Stefano, University of Padua, October 7, 2015.

• PhD referee, Sai Vidya Institute of Technology, Bengaluru (India), November 15, 2018.

• PhD jury, candidate Dr. Giada Serafini, University of Basilicata, May 28, 2019.

• Member of a Ph.D. Committee, final exam of the Ph.D. course in Mathematical Sciences (Computational Mathematics): March 28, 2023, Padua;

• Member of a Committee, Commissione di selezione per l'ammissione ai Corsi di dottorato di ricerca riservata a candidati cinesi with borsa finanziata dal China Scholarship Council e a Borsisti di Stati Esteri (BSE), 2024/2025, XL ciclo, December 15, 2023; meeting: January 19, 2024.

• Ph.D Admission committee, Commissione giudicatrice per la selezione ad evidenza pubblica per l'ammissione al Corso di Dottorato di ricerca in SCIENZE MATEMATICHE (Curricula: Matematica- Matematica Computazionale), Anno Accademico 2024/2025 - XL Ciclo, May-June 2024;

• Ph. D. Course teacher, Numerical cubature and its applications (Doctoral Program in Mathematical Sciences), 2024-2025.

• Member of a committee, Commissione di selezione per l'ammissione ai Corsi di dottorato di ricerca riservata a candidati cinesi with borsa finanziata dal China Scholarship Council e a Borsisti di Stati Esteri (BSE), 2025/2026, XLI ciclo, Dec., 2024; Meetings: January 14, 2025, January 17, 2025. 

• Member of Ph.D. board (Dept. of Mathematics, Univ. of Padua), 2019, 2020, 2022-.

• Member of a committee, Commissione di selezione per l'ammissione ai Corsi di dottorato di ricerca riservata a candidati cinesi with borsa finanziata dal China Scholarship Council e a Borsisti di Stati Esteri (BSE), 2026/2027, XLII ciclo,  Dec., 2025; Meetings: January 9, 2026.

  Committees for hiring lecturers

• Member of an examining board, hiring Lecturer of B-type, selection 2019RUB14, University of Padua, December-April 2020;

• Member of an examining board, hiring Lecturer of A-type, selection 2021RUAPON - REACT EU, allegato 32, University of Padua, November 2021;

• Member of an examining board, hiring Lecturer of A-type, selection 424/RTDA_DM1062, University of Turin, November 2021;

• 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.

 Research fellowship committees

• Research fellowship committee, ISMAR, Venezia, February 2013;

• Research fellowship committee, assegno junior, responsible of the grant: M. Redivo Zaglia, "Metodi di proiezione di Krylov per problemi inversi lineari", Department of Mathematics, University of Padua, January 7, 2014;

• Research fellowship committee, responsible of the grant: M. Redivo Zaglia, "Krylov Methods for Bilinear forms and applications", University of Padua, 2016;

• 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);

• Research fellowship committee, grant for research activity, 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);

• Research fellowship committee, assegno tipo A, 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);.

• Research fellowship committee, assegno tipo A, responsible of the grant: A. Sommariva, "Metodi di approssimazione su domini di tipo NURBS / Approximation methods on NURBS-shaped domains", University of Padua, November 2022;

• Research fellowship committee, assegno tipo A, responsible of the grant: A. Sommariva, "Tchakaloff-Davis-Wilhelmsen measure compression and applications to numerical modelling", Padua, August 30, 2024.

  Other duties

• Evaluation Committee (job vacancies in Mathematics for Engineering) University of Padua, July 4, 2019;

• National coordinator of Rete ITaliana di Approssimazione / Research ITalian network on Approximation (RITA) since March 1, 2022.

• Member of a Committee, Commissione istruttorie per la valutazione delle domande di partecipazione al bando ''Avviso di vacanza insegnamenti 2023/24 - D140000-1039975-2023'', November 24, 2023;

• Member of a Committee, Designazione dei componenti della Commissione istruttoria per la valutazione delle domande di partecipazione al bando "Avviso di vacanza insegnamenti 2023/24 - D140000-1040755-2023" February 2, 2024; meeting: February 8, 2024.

 Memberships

• Member of Commissione Istruttoria per l'Attribuzione degli Impegni Didattici, Department of Mathematics, University of Padua, 2009,2010, 2011, 2014.

• Responsible of Numlab, Department of Mathematics, University of Padua, 2014-2019.

• Member of Commissione Comunicazione, Department of Mathematics, University of Padua, 2019-.

• Member of Commissione Scientifica di Area, Department of Mathematics, University of Padua, 2019-2024.

• Member of Rete ITaliana di Approssimazione / Research ITalian network on Approximation (RITA) 2016-.
  » National coordinator of RITA since March 1, 2022.

• Member of GNCS.

• Member of CAA: Padua-Verona research group on Constructive Approximation and Applications (-2025).

• Member of Teoria Dell'Approssimazione e Applicazioni (TAA) (Gruppo UMI), (-2025).

• Member of  Green Computing Group (local PI).

• Affiliated to Cisas.
  
  

Editorial duties

• Editor of Dolomites Research Notes on Approximation, March 2017-.

• Co-Managing Editor of Journal of Approximation Software 2023-

• Editor of the volume 5-th Dolomites Workshop on Constructive Approximation and Applications. Special Issue dedicated to Robert Schaback on the occasion of his 75th birthday, Dolomites Research Notes on Approximation, Volume 15, issue 3, October 2022, DOI: 10.14658/pupj-drna-2022-3-1, ISSN Number: 2035-6803.

• Editor of the volume Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday, Dolomites Research Notes on Approximation, Volume 15, issue 4, December 2022, ISSN Number: 2035-6803.

• Editor of the volume Special Issue - Dedicated to Len Bos on the occasion of his 70th birthday, Dolomites Research Notes on Approximation, Volume 17, issue 3, September 2024.

• Editor of a Special Issue Dedicated to Len Bos on the occasion of his 70th birthday, with Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, and Marco Vianello, Journal of Approximation Software, Volume 1, Issue 2, September 2024;

Prizes and honors

• 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.

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).

• "Equazioni integrali: aspetti teorici e computazionali" (with M. Lanza De Cristoforis), 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.2010-June 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.2015, 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 Energy 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 Energy 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 Energy 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 Energy 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 Energy Engineering, University of Padua (Mar.2023-Jun.2023, as responsible, 56h).

• "Numerical Analysis II'', Degree in Mathematics, University of Padua (Feb.2024-Jun.2024, as responsible, 64 h).

• "Numerical Analysis I'' (with G. Elefante), Degree in Energy Engineering, University of Padua (Feb.2024-Jun.2024, as responsible, 56h).

• "Numerical cubature and its applications", Doctoral Program in Mathematical Sciences,  (Nov. 2024, as responsible, 16 h).

• "Numerical Analysis II'', Degree in Mathematics, University of Padua (Feb.2025-Jun.2025, as responsible, 64 h).

• "Numerical Analysis I'',  Degree in Energy Engineering, University of Padua (Feb.2025-Jun.2025, as responsible, 72h).

Teaching loads and duties documentations

Certifications about teaching loads and duties:

• 2022-2023: 439h

• 2023-2024: 453h  

• 2024-2025: 514h  

Evaluation, regarding. art.  6, comma 7, law 240/2010:

•   2024-2025: positive

Teaching indicators

•   2012-2013
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction: high, teaching action: high, online org.: high
  
  Calcolo Numerico e Programmazione / Numerical Analysis and Computer Programming:
  satisfaction: high, teaching action: high, online org.: high
  
  

•   2013-2014
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 9, teaching action 9.23, online org. 9.29  (average: 9)
  
  Calcolo Numerico e Programmazione / Numerical Analysis and Computer Programming:
  satisfaction 7.5
  
  

• 2014-2015
  
  Istituzioni di Analisi Matematica / Calculus:
  satisfaction 7.23 (8), teaching action 7.24 (7.50), online org. 7.92 (8)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 7.55 (8), teaching action 7.76 (8), online org. 8.24 (8.25)

• 2015-2016
  
  Istituzioni di Analisi Matematica / Calculus:
  satisfaction 7.56 (8), teaching action 7.40 (7.50), online org. 8.04 (8)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 8.60 (9), teaching action 8.50 (9), online org. 8.66 (8.75)
  
  

• 2016-2017
  
  Istituzioni di Analisi Matematica / Calculus:
  satisfaction 7.75 (8), teaching action 7.46 (7.50), online org. 8.10 (8.25)
  
  Calcolo Numerico (Informatica) / Numerical Analysis (Computer Science):
  satisfaction 8.18 (8), teaching action 8.48 (8.75), online org. 8.65 (8.75)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 8.64 (8), teaching action 8.82 (9), online org. 9.10 (9.25)
  
  

• 2017-2018
  
  Istituzioni di Analisi Matematica / Calculus:
  satisfaction 7.75 (8), teaching action 7.78 (8), online org. 8.47 (8.5)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 8 (8), teaching action 8.63 (9), online org. 8.68 (8.88)
  
  

• 2018-2019
  
  Calcolo Numerico / Numerical Analysis:
  satisfaction 6.89 (7), teaching action 7.16 (7.50), online org. 7.86 (8.13)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 9 (9), teaching action 9 (9), online org. 9.33 (9.25)
  
  

• 2019-2020
  
  Calcolo Numerico / Numerical Analysis: 
  satisfaction 7.79 (8), teaching action 7.94 (8), organization 7.92 (8), online org. 8.17 (8.5)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 8.94 (9), teaching action 8.91 (9), organization 9.21 (9.5), online org. 9.59 (10)
  
  

• 2020-2021
  
  Calcolo Numerico / Numerical Analysis:
  satisfaction 8.26 (8), teaching action 8.2 (8), online org. 8.75 (8.75)
  
  Analisi Numerica / Numerical Analysis II:
  satisfaction 8.96 (9), teaching action 8.81 (9), online org. 9.34 (9.88)
  
  

• 2021-2022
  
  Calcolo Numerico  / Numerical Analysis:
  satisfaction 8.85 (9), teaching action 8.89 (9), organization 9.2 (9.33), online org. 9.22 (9.25)
  
  Analisi Numerica  / Numerical Analysis II:
  satisfaction 8.45 (8), teaching action 8.58 (9), organization 8.94 (9), online org. 9.22 (9.25)
  
  

• 2022-2023
  
  Calcolo Numerico / Numerical Analysis:
  satisfaction 8.68 (9), teaching action 8.82 (9), organization 8.79 (9)
  
  Analisi Numerica  / Numerical Analysis  II:
  satisfaction 8.56 (9), teaching action 8.79 (9), organization 9.05 (9.25)
  
  

• 2023-2024
  
  Calcolo Numerico  / Numerical Analysis:
  satisfaction 8.24 (8), teaching action 8.41 (8.5), organization 8.49 (8.75)
  
  Analisi Numerica /  Numerical Analysis  II:
  satisfaction 8.45 (8.5), teaching action 8.91 (9), organization 9.19 (9.25)

• 2024-2025
  
  Calcolo Numerico  / Numerical Analysis:
  satisfaction 8.00 (8), teaching action 8.02 (8.5), organization 8.69 (9)
  
  Analisi Numerica /  Numerical Analysis  II:
  satisfaction 8.34 (9), teaching action 8.33 (9), organization 9.11 (9.25)
  
  Note: marks range from 0 (worst possible) to 10 (best possible). To give an idea, 5.75: C, 6: B, 7: A, 8: A+, 9: A++, 10: A+++.

Supervisory experience

1. E. Facchinello, Analysis and implementation of a numerical solver for nonlinear integral equations of transport theory, with M. Vianello,  co-supervisor, degree in Mathematics (4 years course), 1997-1998;

2. A. Martignago, Fast methods for integral equations of the second kind via Chebyshev compression, with M. Vianello, co-supervisor, degree in Mathematics (4 years course), 1999-2000;

3. A. Mardegan, Bivariate Chebyshev series and approximation of integral operators, with M. Vianello, co-supervisor, degree in Mathematics (4 years course),2000-2001;

4. A. Punzi, Una formula di cubatura RBF per dati scattered su settori circolari, with M. Vianello, co-supervisor, bachelor degree in Mathematics (3 years course), 2006;

5. G. Da Fies, A RBF cubature rule for scattered data on domains with spline boundary, with M. Vianello, co-supervisor, bachelor degree in Mathematics (3 years course), 2006-2007.

6. S. Bressan, Rappresentazione dei reali nel calcolatore e calcolo with numeri approssimati: un percorso didattico per le scuole secondarie, with M. Vianello, co-supervisor, bachelor degree in Mathematics (3 years course), 2007-2008;

7. G. Santin, Cubatura algebrica su domini generali col sistema software Chebfun, supervisor, bachelor degree in Mathematics (3 years course), A.A. 2008-2009;

8. F. Basaglia, A new cubature method over polygons, supervisor,  bachelor degree in Mathematics (3 years course), 2008-2009;

9. M. Marchioro, Approssimazione polinomiale e cubatura su mesh debolmente ammissibili del parallelepipedo, del cilindro e del prisma a base triangolare, with S. De Marchi, co-supervisor,  master degree in Mathematics (2 years course), 2009-2010;

10. G. Orzetti, Approssimazione polinomiale su mesh debolmente ammissibili della palla e del tetraedro, with M. Vianello, co- supervisor, bachelor degree in Mathematics (3 years course), 2009-2010;

11. M. Briani, Calcolo di punti quasi ottimali per l'interpolazione polinomiale sul triangolo, with M. Vianello,  supervisor, bachelor degree in Mathematics (3 years course), 2009-2010;

12. M. Gentile, Un algoritmo per la quadrangolazione convessa di poligoni, with M. Vianello,  supervisor, bachelor degree in Mathematics (3 years course), 2009-2010;

13. S. Ballan, Confronti di metodi per l'integrazione numerica di Gaussiane bivariate su poligoni, with M. Vianello, co-supervisor, bachelor degree in Mathematics (3 years course), 2010-2011,

14. L. Mezzalira, Calcolo di punti quasi ottimali per l'interpolazione polinomiale sull'intervallo, il quadrato e il disco,  supervisor, bachelor degree in Mathematics (3 years course), 2010-2011;

15. M. Festa, Calcolo di formule minimali sul quadrato,  supervisor, bachelor degree in Mathematics (3 years course), 2010-2011;

16. J. Cacco: "Un metodo polinomiale per il calcolo di funzioni di matrici non simmetriche basato sui punti di Leja", with P. Novati,  supervisor,  bachelor degree in Mathematics (3 years course), 2010-2011;

17. V. Mazzocco: "Interpolazione trigonometrica subperiodica e interpolazione prodotto su sezioni di cerchio, with Marco Vianello, co- supervisor,  bachelor degree in Mathematics (3 years course), 2011-2012;

18. D. Montagner, Quadratura di Fejer e Clenshaw-Curtis via DCT e DST, e sue applicazioni,  supervisor, bachelor degree in Mathematics (3 years course), 2011-2012;

19. A. Pinto, Punti di Lebesgue sul disco, with F. Rinaldi,  supervisor, bachelor degree in Mathematics (3 years course), 2011-2012;

20. M. Gentile, Interpolazione polinomiale e cubatura algebrica su sottoregioni della sfera, with M. Vianello,  supervisor, master degree in Mathematics (2 years course), 2012-2013;

21. L. Mezzalira, Cubatura adattativa su toro e sfera, with M. Vianello,  supervisor, master degree in Mathematics (2 years course), 2012-2013;

22. C. Bittante, Una nuova tecnica di cubatura quasi-Monte Carlo su domini 2D e 3D, with S. De Marchi, co-supervisor, master degree in Mathematics (2 years course), 2013-2014;

23. M. Zaccaron, Discrete orthogonal polynomials and hyperinterpolation over planar regions, with M. Vianello, co- supervisor, master degree in Mathematics (2 years course),  2014-2015;

24. G. Conedera, Formule di cubatura minimali per il disco, with M. Vianello,  supervisor, bachelor degree in Mathematics (3 years course), 2014-2015;

25. G. Bergamasco, Positive cubature formulas on normal domains, with M. Vianello, co- supervisor, bachelor degree in Mathematics (3 years course), -2015;

26. M. Agugiaro, Formule di cubatura su unioni di dischi,  supervisor, bachelor degree in Mathematics (3 years course), 2014-2015;

27. R. Viero, Formule di cubatura attraverso programmazione lineare semi-infinita, with M. Vianello,  supervisor, bachelor degree in Mathematics (3 years course), 2017-2018;

28. L. Favero, Iperinterpolazione di tipo Tchakaloff.  supervisor, bachelor degree in Mathematics (3 years course), A.A. 2018-2019;

29. E. Bazza, Cubatura su poligoni curvilinei,  supervisor, bachelor degree in Mathematics (3 years course), 2018-2019;

30. F. Santin, Cubatura su poligoni curvilinei,  supervisor, bachelor degree in Mathematics (3 years course), 2019-2020;

31. F. Zuccolotto, Alcuni esperimenti numerici sulle matrici di Vandermonde e le iterazioni del metodo di Arnoldi,  supervisor, bachelor degree in Mathematics (3 years course), 2019-2020;

32. L. Salzano, Su una formula di J. B. Lasserre relativa all'integrazione sul simplesso,  supervisor, bachelor degree in Mathematics (3 years course), 2019-2020;

33. E. Caregnato, Sulla filtered hyperinterpolation in domini multivariati,  supervisor, bachelor degree in Mathematics (3 years course), 2021-2022;

34. F. Lopez, Iperinterpolazione filtrata su domini bivariati with bordo di tipo NURBS,  supervisor, bachelor degree in Mathematics (3 years course), 2022-2023;

35. S. Alessi, Cubatura adattiva su domini poligonali,  supervisor, bachelor degree in Mathematics (3 years course), 2022-2023;

36. R. Cazzin, Soluzione numerica di equazioni integrali di Fredholm su domini poligonali,  supervisor, bachelor degree in Mathematics (3 years course), 2022-2023;

37. A. Duse, Iperinterpolazione ibrida su domini multivariati,  supervisor, bachelor degree in Mathematics (3 years course), 2022-2023;

38. M. Santoro, Una suite MATLAB per la compressione QMC su domini bivariati, with G. Elefante supervisor, bachelor degree in Mathematics (3 years course), 2022-2023;

39. F. Feletto, Mesh ammissibili in campo complesso e approssimazione numerica della loro costante di Lebesgue, with G. Elefante, supervisor,  bachelor degree in Mathematics (3 years course), 2023-2024;

40. N. Zorzi, Formule di quadratura algebriche per funzioni razionali,  supervisor, bachelor degree in Mathematics (3 years course), 2023-2024;

41. C. Zara, Formule di cubatura a bassa cardinalita' di tipo Positive Interior su domini molteplicemente connessi with bordo di tipo NURBS, with G. Elefante, supervisor,  bachelor degree in Mathematics (3 years course), 2023-2024.

42. N. Mietto, Cubatura adattiva su poligoni sferici, with G. Elefante,  supervisor, bachelor degree in Mathematics (3 years course), A.A. 2023-2024.

43. S. Pangrazio, Implementazione Numerica delle Formule di Cubatura di Glaubitz, with G. Elefante,  supervisor, bachelor degree in Mathematics (3 years course),  A.A. 2023-2024.

44. F. Lando, Approssimazione uniforme di funzioni a valori reali in RKHS, supervisor, bachelor degree in Mathematics (3 years course), A.A. 2024-2025.

45. G. Traversin, Implementazione in Python di un algoritmo per la cubatura numerica su elementi poligonali con un lato curvo, supervisor (with L. Rinaldi), bachelor degree in Mathematics (3 years course), A.A. 2024-2025.

46. M. Storgato, Quadratura subperiodica in Python, supervisor (with L. Rinaldi), bachelor degree in Mathematics (3 years course), A.A. 2024-2025.

Publications

1. Computing molecular Born radii by ORTHOCUB compression of QMC surface integration
   with M. Vianello,

in preparation.

2. On zero sets of collocation determinants

with F. Dell'Accio and M. Vianello,

in preparation.

3. On the role of Marcinkiewicz-Zygmund constants in polynomial approximation by orthogonal bases

with C. An and M. Vianello, submitted.

4. ORTHOCUB: integral and differential cubature rules by orthogonal moments

with L. Rinaldi and M. Vianello, submitted.

5. Adaptive RBF cubature by scattered data on spherical polygons,
   with. R. Cavoretto, A. De Rossi, G. Elefante,
   Journal of Scientific Computing, to appear.

6. Effective numerical integration on complex shaped elements by discrete signed measures,

with L. Rinaldi and M. Vianello,

Finite Elements in Analysis and Design, Volume 254, February 2026, 104505.

7. Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity.
   with M. Vianello.
   Journal of Computational and Applied Mathematics, Volume 475, 15 March 2026, 116983.

8. Polynomial meshes on algebraic sets, 
   with L. Bialas-Ciez, A. Kowalska,
   Journal of Computational and Applied Mathematics, Volume 473, February 2026, 116870 .

9. Unisolvence of randomized MultiQuadric Kansa collocation  for convection-diffusion with mixed boundary conditions.
   with M. Mohammadi and M. Vianello,
   Mediterranean Journal of Mathematics Volume 22, 2025, article number 144.

10. Cheap and stable quadrature on polyhedral elements,
    with M. Vianello,
    Finite Elements in Analysis and Design, Volume 251, October 2025, 104409.

11. Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers,
    with M. Mohammadi and M. Vianello,
    Applied Mathematics Letters, Volume 168, September 2025, 109571

12. Nonsingularity of unsymmetric Kansa matrices: random collocation by MultiQuadrics and Inverse MultiQuadrics,
    with R. Cavoretto, F. Dell'Accio, A. De Rossi and M. Vianello,
    Mathematics and Computers in Simulation, Volume 234, August 2025, Pages 390-395  

13. Hybrid hyperinterpolation over general regions,
    with C. An, J.-S. Ran,
    Calcolo, Volume 62, article number 3, (2025).

14. Numerical cubature and hyperinterpolation over Spherical Polygons,
    Appl. Math. Comput., Volume 495, 15 June 2025, 129335.

15. Random sampling and polynomial-free interpolation by Generalized MultiQuadrics,
    with M. Vianello,
    Journal of Approximation Theory, March 2025, 106119.

16. Special Issue dedicated to Len Bos on the occasion of his 70th birthday, introduction,
    with R. Cavoretto, A. De Rossi, F. Dell'Accio, and M. Vianello,
    Journal of Approximation Software, vol. 1 issue 2, 2024.

17. Special Issue dedicated to Len Bos on the occasion of his 70th birthday,  introduction,
    with F. Dell'Accio and M. Vianello,
    Dolomites Research Nodes on Approximation, vol. 17 issue 3, 2024.

18. Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation,
    with F. Dell'Accio and M. Vianello,
    Engineering Analysis with Boundary Elements, Volume 165, August 2024, 105773.

19. Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling,
    with M. Vianello,  
    Dolomites Res. Notes Approx. DRNA, volume 17, issue 3, 2024, pag. 45-47.

20. A note on polynomial-free unisolvence of polyharmonic splines at random points,
    with L. Bos and M. Vianello
    Applied Mathematics Letters, 157 (2024), 109161

21. Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach,
    with E. Artioli, G. Elefante and M. Vianello,
    Mathematics in Engineering, 6 (2024), 510-535.

22. Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball,
    with L. Bialas-Ciez, D. Kenne and M. Vianello,
    Electronic Transactions in Numerical Analysis, 60 (2024), 428-445.

23. CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes,
    with D. Kenne and M. Vianello,
    Journal of Approximation Software, Vol. 1. No. 2, 2024.

24. Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections,
    with L. Bialas-Ciez, D. Kenne and M. Vianello,
    Journal of Computational and Applied Mathematics 443 (2024).

25. Numerical cubature on scattered data by adaptive interpolation,
    with R. Cavoretto, F. Dell'Accio, A. De Rossi, F. Di Tommaso, N. Siar, M. Vianello,
    Journal of Computational and Applied Mathematics 444 (2024), 115793

26. Qsurf: compressed QMC integration on algebraic surface,
    with G. Elefante and M. Vianello,
    Journal of Approximation Software, Vol. 1 No. 1 (2024).

27. Tchakaloff-like compression of QMC volume and surface integration on union of balls,
    with G.Elefante and M. Vianello,
    Calcolo, Volume 61, article number 46, (2024).

28. TetraFreeQ: tetrahedra-free quadrature on polyhedral elements,
    with M. Vianello,
    Applied Numerical Mathematics 200 (2024), 389--398.

29. Random sampling and unisolvent interpolation by almost everywhere analytic functions,
    with F. Dell'Accio and M. Vianello,
    Applied Mathematics Letters, Volume 145, November 2023, 108734.

30. Low cardinality Positive Interior cubature on NURBS-shaped domains,
    with M. Vianello,
    BIT Numer. Math. 63, 22 (2023).

31. Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday,
    with L. Bos, F. Dell'Accio, G. Elefante, W. Erb, F. Marchetti, E. Perracchione, D. Poggiali, G. Santin
    Dolomites Res. Notes Approx. DRNA 15 (2022), pp. 92-100 (Special Issue "Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday")

32. Cubature rules with positive weights on union of disks,
    with M. Vianello,
    Dolomites Res. Notes Approx. DRNA 15 (2022), pp. 92-100 (Special Issue "Special Issue dedicated to Stefano De Marchi on the occasion of his 60th birthday")

33. CQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature,
    with G. Elefante and M. Vianello,
    Dolomites Res. Notes Approx. DRNA 15 (2022), pp. 73-81 (Special Issue "Software for Approximation 2022")

34. 5-th Dolomites Workshop on Constructive Approximation and Applications. Special Issue dedicated to Robert Schaback on the occasion of his 75th birthday (introduction of the special issue)
    with F. Marchetti, E.Perracchione and G. Santin;
    Dolomites Res. Notes Approx. DRNA 15 (2022)

35. inRS: implementing the indicator function for NURBS-shaped planar domains,
    with M. Vianello,
    Applied Mathematics Letters, Volume 130, August 2022, 108026

36. RBFCUB: a numerical package for near-optimal meshless cubature on general polygons,
    with R. Cavoretto, A. De Rossi and M. Vianello,
    Applied Mathematics Letters, 125 (2022), 107704.

37. Near-optimal polynomial interpolation on spherical triangles,
    with M. Vianello,
    Mediterranean Journal of Mathematics, 19 (2022), article 68.

38. On "marcov" inequalities,
    with L. Bos and S. De Marchi,
    Dolomites Res. Notes Approx. DRNA 14 (2021), pp. 92-100.

39. Numerical hyperinterpolation over spherical triangles,
    with M. Vianello,
    Math. Comput. Simulation 190 (2021), pp. 15-22.

40. Near-algebraic Tchakaloff-like quadrature on spherical triangles,
    with M. Vianello,
    Applied Mathematics Letters 120 (2021).

41. RBF moment computation and meshless cubature on general polygonal regions,
    with M. Vianello,
    Applied Mathematics and Computation 409 (2021) .

42. Computing Tchakaloff-like cubature rules on spline curvilinear polygons,
    with M. Vianello,
    Dolomites Res. Notes Approx. DRNA 14 (2021), pp. 1-11.

43. Compressed cubature over polygons with applications to optical design,
    with B. Bauman and M. Vianello,
    Journal of Computational and Applied Mathematics 370 (2020), published online 10 December 2019

44. Quadrature-based polynomial optimization,
    with A. Martinez, F. Piazzon and M. Vianello,
    Optimization Letters 14 (2020), Pages 1027-1036,

45. Algebraic cubature on polygonal elements with a circular edge,
    with E. Artioli and M. Vianello,
    Comput. Math. Appl., Volume 79, Volume 7, 1 April 2020, pp. 2057-2066. 

46. On the computation of sets of points with low Lebesgue constant on the unit disk,
    with G. Meurant,
    Journal of Computational and Applied Mathematics, Volume 345, 1 January 2019, Pages 388-404.

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

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

49. Subperiodic Trigonometric Hyperinterpolation
    with G. Da Fies and M. Vianello,
    in: Contemporary Computational Mathematics - a celebration of the 80th birthday of Ian Sloan (invited paper)
    J. Dick, F.Y. Kuo, H. Wozniakowski Eds., Springer, 2018, pp. 283--304

50. Numerical quadrature on the intersection of planar disks,
    with M. Vianello,
    FILOMAT 31:13 (2017), 4105--4115

51. Subperiodic trigonometric subsampling: a numerical approach
    with M. Vianello,
    Appl. Anal. Discrete Math. 11 (2017), 470--483

52. Caratheodory-Tchakaloff Least Squares
    with F. Piazzon and M. Vianello,
    Sampling Theory and Applications 2017, IEEE Xplore Digital Library, DOI: 10.1109/SAMPTA.2017.8024337

53. Numerical hyperinterpolation over nonstandard planar regions
    with M. Vianello,
    Math. Comput. Simulation 141 (2017), 110--120

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

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

56. Caratheodory-Tchakaloff Subsampling
    with F. Piazzon and M. Vianello,
    Dolomites Res. Notes Approx. DRNA 10 (2017), 5--14
    poster presented at DWCAA16, Canazei (I), 2016

57. Polynomial approximation and quadrature on geographic rectangles,
    with M. Gentile and M. Vianello,
    Appl. Math. Comput. 297 (2017), 159--179
    poster presented at SIAM GeoSciences 2013, Padua (I)

58. Polynomial Meshes: Computation and Approximation,
    with S. De Marchi, F. Piazzon and M. Vianello,
    Proceedings of CMMSE 2015, 414--425, ISBN 978-84-617-2230-3, ISSN 2312-0177

59. Compression of multivariate discrete measures and applications,
    with M. Vianello,
    Numer. Funct. Anal. Optim. 36 (2015), 1198--1223

60. Polynomial fitting and interpolation on circular sections,
    with M. Vianello,
    Appl. Math. Comput. 258 (2015), 410--424

61. Multivariate Christoffel functions and hyperinterpolation,
    with S. De Marchi and M. Vianello,
    Dolomites Res. Notes Approx. DRNA 7 (2014), 26--33

62. Fast variants of the Golub and Welsch algorithm for symmetric weight functions,
    with G. Meurant,
    Numer. Algo. 67, Issue 3 (2014), 491-506.

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

64. Fast Construction of Fejer and Clenshaw-Curtis rules for general weight functions,
    Comput. Math. Appl., Volume 65, Issue 4, February 2013, Pages 682-693.

65. Computing almost minimal formulas on the square,
    with M. Festa,
    Journal of Computational and Applied Mathematics 236 (2012), 4296-4302.

66. On the generation of symmetric Lebesgue-like points in the triangle,
    with F. Rapetti and M. Vianello,
    Journal of Computational and Applied Mathematics 236 (2012), 4925--4932

67. 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.

68. Computing Fekete and Lebesgue points: simplex, square, disk,
    with M. Briani and M. Vianello,
    Journal of Computational and Applied Mathematics 236 (2012), 2477--2486

69. 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

70. Polynomial interpolation and cubature over polygons,
    with M. Gentile and M. Vianello,
    Journal of Computational and Applied Mathematics 235 (2011), 5232--5239

71. An algebraic cubature formula on curvilinear polygons,
    with G. Santin and M. Vianello,
    Appl. Math. Comput. 217 (2011), 10003--10015

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

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

74. 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

75. 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), 1984--1999
    poster presented at ICIAM 2011, Vancouver

76. Least-squares polynomial approximation on weakly admissible meshes: disk and triangle,
    with L. Bos and M. Vianello,
    Journal of Computational and Applied Mathematics 235 (2010), 660--668

77. Approximate Fekete points for weighted polynomial interpolation,
    with M. Vianello,
    Electron. Trans. Numer. Anal. 37 (2010), 1--22

78. Gauss-Green cubature and moment computation over arbitrary geometries,
    with M. Vianello,
    Journal of Computational and Applied Mathematics 231 (2009), 886--896

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

80. Computing approximate Fekete points by QR factorizations of Vandermonde matrices,
    with M. Vianello,
    Comput. Math. Appl. 57 (2009), 1324--1336

81. Nontensorial Clenshaw-Curtis cubature,
    with M. Vianello and R. Zanovello
    Numer. Algorithms 49 (2008), 409--427

82. Meshless cubature over the disk by Thin-Plate Splines,
    with A. Punzi and M. Vianello
    Journal of Computational and Applied Mathematics 221 (2008), 430--436

83. Approximation on the sphere using radial basis functions plus polynomials,
    with I.H. Sloan,
    Advances in Computational Mathematics, Volume 29, Number 2 / August (2008), 147-177.

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

85. Meshless cubature by Green's formula,
    with M. Vianello
    Appl. Math. Comput. 183 (2006), 1098--1107

86. Integration by RBF over the Sphere,
    with R.S. Womersley,
    Preprint UNSW, AMR05_17.

87. Numerical cubature on scattered data by radial basis functions,
    with M. Vianello,
    Computing 76 (2006), 295--310.

88. Quadrature over the sphere,
    with Kendall Atkinson,
    Electronic Transactions in Numerical Analysis, 20 (2005), 104-118.

89. On the numerical solution of some semilinear elliptic problems II,
    with Kendall Atkinson,
    Computing, 74 (2005), 159-175.

90. Adaptive bivariate Chebyshev approximation,
    with M. Vianello and R. Zanovello,
    Numer. Algorithms 38 (2005), no. 1-3, 79--94

91. A fast Nystrom-Broyden solver by Chebyshev compression,
    Numerical Algorithms, 38 (2005), 47-60.

92. Adaptive bivariate Chebyshev approximation,
    with M. Vianello, R. Zanovello,
    Numer. Algorithms 38 (2005), 79-94

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

94. Fast summation of power series with coefficients analytic at infinity,
    with M. Vianello, R. Zanovello,
    Numer. Algorithms 27 (2001), 77--87

95. Positive multiplication preserves dissipativity in commutative C*-algebras,
    with M. Vianello,
    J. Inequal. Appl. 6 (2001), 247--251

96. Analisi costruttiva e numerica per una classe di equazioni di Hammerstein della teoria del trasporto,
    Bollettino UMI, Supplemento Speciale Tesi di Dottorato, Serie 8 3-A (2000) La Matematica nella Societa'  e nella Cultura, fasc. n.1S, 221--224, Unione Matematica Italiana.

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

98. Relaxed Picard-like methods for nonlinear integral equations arising in transport theory,
    with E. Facchinello, M. Vianello,
    Applied and industrial mathematics, Venice-2, 1998, 273-285, Kluwer Acad. Publ., Dordrecht, 2000

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

100. Constructive analysis of purely integral Boltzmann models,
     with M. Vianello,
     J. Integral Equations Appl. 11 (1999), 393-404

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

Other info

• Google Scholar Profile: CKpFOokAAAAJ

• IRIS:  rp23903

• Microsoft Academic

• Orcid: 0000-0002-8902-8063

• Research Gate Profile: Alvise-Sommariva

• Research Padua Archive

• Scopus Profile: 7003495349

• Web Of Knowledge: 1310625

• Ugov ID: 5679

  • Github: alvisesommariva

  • ZbMATH: sommariva.alvise

  • MathSciNet: 636671

  • ArXiv: A. Sommariva

  • DBLP: 42/3460

  • Zoom personal room: 931 567 0682

  • Uniweb: 30474680 

  • Loop: 3201024

  • Open Alex: A5014073555

Parameters

Google Scholar

• • •  Citations: 2045, from 2020:  914

    • Indice H: 23, from 2020: 16

    • i10-index: 50, from 2020: 32
      
      

Research Gate

• • RI-score: 731.7

  • Reads:  9591

  • Citations:  1608

  • Recommendations: 146

  • H-index: 21, excluding: 17
    
    

Scopus

• Citations: 1116 by 609 documents

• Publications:  84

• H-index 18
  
  
  

WebOfScience

• H-index: 17

• Publications: 90

• Sum of times cited: 1043

• Citing Articles: 583

• Sum of times cited (without self citations):  776

• Citing Articles (without self citations): 518

MathSciNet

• Citations: 586 by 308 documents

• Publications: 77

• Unique Citing Authors: 431

By classification:

• 65 - Numerical analysis, publications: 49, citations: 351;

• 41 - Approximations and expansions, publications: 16, citations: 183;

• 74 - Mechanics of deformable solids, publications: 2, citations: 1;

• 45 - Integral equations, publications: 2, citations: 6;

• 94 - Information and communication theory, circuits, publications: 1, citations: 19.