SOMMARIVA ALVISE

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Structure Department of Mathematics
Telephone 0498271350
Qualification Professore associato confermato
Scientific sector MAT/08 - NUMERICAL ANALYSIS
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Notice and additional information
For additional information see

http://www.math.unipd.it/~alvise/

Office hours
Monday from 10:30 to 14:15 Ufficio 427, Torre Archimede, Dipartimento di Matematica Al di fuori della durata del corso, si contatti il docente.
Tuesday from 11:30 to 14:15 Ufficio 427, Torre Archimede, Dipartimento di Matematica Al di fuori della durata del corso, si contatti il docente.
(updated on 24/01/2019 18:27)

Proposals for thesis
For the discussion of a degree thesis, please contact the professor.

The subjects are:

* numerical quadrature/cubature.
* approximation theory.

For the list of previous degree works, see

http://www.math.unipd.it/~alvise/thesis.html

Curriculum Vitae
Degrees

- B.Sc in "Mathematics'', 1993, University of Padua.
- Ph.D. in "Computational Mathematics'', 08-02-1999, University of Padua.

Positions held

- 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-).
- National Habilitation to Full Professor (2018-2024).

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, SIAM Numerical Analysis.

Research Activity

Author of more about 60 papers in Numerical Analysis, with particular interest in Approximation Theory and Numerical Integration.

Conferences/Workshops organization

* DWCAA 2006, Alba di Canazei, 2006;
* DRWA 2007, Alba di Canazei, 2007;
* 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.
* DRWA 2015, Alba di Canazei, 2015.
* DWCAA 2016, Alba di Canazei, 2016.
* DRWA 2017, Alba di Canazei, 2017.
* DRWA 2018, Alba di Canazei, 2018
* DRWA 2019, Alba di Canazei, 2019

Homepages:

For a detailed curriculum vitae, see the homepage https://www.math.unipd.it/~alvise/cv.html

Lecturer's Curriculum (PDF): 5395B2E29080F8B26BFADD7DCF16099B.pdf

Research areas
* Numerical quadrature and cubature.
* Approximation theory.

Publications
Last scientific contributions:

* Cubature rules with positive weights on union of disks,
⇥draft,
» Joint paper with M. Vianello

* Algebraic cubature on polygonal elements with a circular edge,
⇥submitted,
» Joint paper with E. Artioli and M. Vianello

* Quadrature-based polynomial optimization,
⇥Optim. Lett., published online 07 March 2019,
» Joint paper with A. Martinez Calomardo, F. Piazzon and M. Vianello.

* Compressed cubature over polygons with applications to optical design, draft,
» Joint paper with B. Bauman (LLNL, USA) and M. Vianello.

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

* Discrete norming inequalities on sections of sphere, ball and torus,
⇥ J. Inequal. Spec. Funct. 9 (2018), 113-121,
» Joint paper with M. Vianello.

* Subperiodic Trigonometric Hyperinterpolation
⇥ "Festschrift for the 80th Birthday of Ian Sloan" (invited paper), J. Dick, F.Y. Kuo, H. Wozniakowski Eds., Springer, 2018.
» Joint paper with G. Da Fies and M. Vianello.

* Caratheodory-Tchakaloff Least Squares,
» Joint paper withF. Piazzon and M. Vianello)

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

* Caratheodory-Tchakaloff Subsampling,
⇥ Dolomites Res. Notes Approx. DRNA 10 (2017), 5-14.
» Joint paper with F. Piazzon and M. Vianello.

For a complete list see:

http://www.math.unipd.it/~alvise/papers.html

List of taught course units in A.Y. 2019/20
Degree course code (?) Degree course track Course unit code Course unit name Credits Year Period Lang. Teacher in charge
IN0515 COMMON IN18101050 9 1st Year (2019/20) Second
semester
ITA ALVISE SOMMARIVA
IN0506 COMMON IN18101050 9 1st Year (2019/20) Second
semester
ITA ALVISE SOMMARIVA
SC1159 COMMON SCM0014413 7 3rd Year (2019/20) Second
semester
ITA ALVISE SOMMARIVA