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ALVISE SOMMARIVA

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Position

Professore Associato

Address

VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA

Telephone

0498271350

• B.Sc in Mathematics, 1993.
• Ph.D. in Computational Mathematics, 1999, Univ. of Padua.
• Research Fellowship, Univ. of Padua (1999-2002).
• Post-Doc Fellowship, Univ. of Padua (2002-2004).
• Research Associate, Univ. of New South Wales (Australia) (Sept.2004- Dec.2005).
• Assistant Professor, Univ. of Padua (2006-2014).
• Associate Professor, Numerical Analysis: Univ. of Padua (2014-).
• Full Professor Habilitation in Numerical Analysis, (period: 05/04/2018 -
05/04/2027).

For a complete CV, see https://www.math.unipd.it/~alvise/CV/CV_2022_EN/CV_2022_EN.pdf

Notices

For additional information see

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

Office hours

  • Monday from 10:30 to 14:15
    at Ufficio 426, Torre Archimede, Dipartimento di Matematica (oppure via Zoom, a seconda di disposizioni)

  • Tuesday from 11:30 to 14:15
    at Ufficio 426, Torre Archimede, Dipartimento di Matematica (oppure via Zoom, a seconda di disposizioni).

Publications


Publications (2018-2022)

inRS: implementing the indicator function for NURBS-shaped planar domains, with M. Vianello,
Submitted on January 7, 2022;

Low cardinality Positive Interior cubature on NURBS-shaped domains, with M. Vianello,
Submitted on December 14, 2021;

On "marcov" inequalities, with L. Bos and S. De Marchi,
Dolomites Research Notes on Approximation, Volume 14, issue 1, 2021, pp. 92-100.

RBFCUB: a numerical package for near-optimal meshless cubature on general polygons
with R. Cavoretto, A. De Rossi and M. Vianello,
Appl. Math. Lett., accepted for publication.

Near-optimal polynomial interpolation on spherical triangles
with M. Vianello,
Mediterr. J. Math., to appear in April 2022.

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

Near-algebraic Tchakaloff-like quadrature on spherical triangles
with M. Vianello,
Appl. Math. Lett. 120 (2021).

RBF moment computation and meshless cubature on general polygonal regions
with M. Vianello,
Appl. Math. Comput. 409 (2021) .

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

Compressed cubature over polygons with applications to optical design
with B. Bauman and M. Vianello,
J. Comput. Appl. Math. 370 (2020), published online 10 December 2019
Algebraic cubature on polygonal elements with a circular edge
with E. Artioli and M. Vianello,
Comput. Math. Appl., published online 5 November 2019

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

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.

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

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

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

For a complete list, see https://www.math.unipd.it/~alvise/cv.html

Research Area

* Numerical quadrature and cubature.
* Approximation theory.

Thesis proposals

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