Publications


Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions.
with M. Mohammadi and M. Vianello,
to be submitted.

Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity.
with M. Vianello.
submitted.

Cheap and stable quadrature on polyhedral elements,
with M. Vianello.
submitted.

Polynomial meshes on algebraic sets,
with L. Bialas-Ciez, A. Kowalska,
submitted.

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

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

Adaptive RBF cubature by scattered data on spherical polygons,
with. R. Cavoretto, A. De Rossi, G. Elefante,
submitted.

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

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

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

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.

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.

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.

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.

A note on polynomial-free unisolvence of polyharmonic splines at random points,
with L. Bos and M. Vianello
Appl. Math. Lett. 157 (2024), 109161

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.

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.

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.

Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections,
with L. Bialas-Ciez, D. Kenne and M. Vianello,
J. Comput. Appl. Math. 443 (2024).

Numerical cubature on scattered data by adaptive interpolation,
with R. Cavoretto, F. Dell'Accio, A. De Rossi, F. Di Tommaso, N. Siar, M. Vianello,
J. Comput. Appl. Math. 444 (2024), 115793

For a complete list, see https://sites.google.com/view/alvisesommarivaunipd/home-page/papers

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