Alvise Sommariva

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 33

Top Topics

Stratified Sampling

Polynomial Approximation

Top Venues

Appl. Math. Lett.

J. Comput. Appl. Math.

Appl. Math. Comput.

Publications

Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections. J. Comput. Appl. Math. 443 (2024)
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell'Accio, Filomena Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello
Numerical cubature on scattered data by adaptive interpolation. J. Comput. Appl. Math. 444 (2024)
Alvise Sommariva, Marco Vianello
Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling. CoRR (2024)
Alvise Sommariva
Numerical cubature and hyperinterpolation over Spherical Polygons. CoRR (2024)
Alvise Sommariva, Marco Vianello
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics. CoRR (2024)
Alvise Sommariva, Marco Vianello
Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity. CoRR (2024)
Roberto Cavoretto, Francesco Dell'Accio, Alessandra De Rossi, Alvise Sommariva, Marco Vianello
Nonsingularity of unsymmetric Kansa matrices: random collocation by MultiQuadrics and Inverse MultiQuadrics. CoRR (2024)
Len Bos, Alvise Sommariva, Marco Vianello
A note on polynomial-free unisolvence of polyharmonic splines at random points. Appl. Math. Lett. 157 (2024)
Francesco Dell'Accio, Alvise Sommariva, Marco Vianello
Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation. CoRR (2024)
Roberto Cavoretto, Francesco Dell'Accio, A. De Rossi, F. Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello
Numerical cubature on scattered data by adaptive interpolation. CoRR (2023)
Francesco Dell'Accio, Alvise Sommariva, Marco Vianello
Random sampling and unisolvent interpolation by almost everywhere analytic functions. Appl. Math. Lett. 145 (2023)
Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball. CoRR (2023)
Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections. CoRR (2023)
Giacomo Elefante, Alvise Sommariva, Marco Vianello
Compressed QMC volume and surface integration on union of balls. CoRR (2023)
Giacomo Elefante, Alvise Sommariva, Marco Vianello
Qsurf: compressed QMC integration on parametric surfaces. CoRR (2023)
Len Bos, Alvise Sommariva, Marco Vianello
A note on polynomial-free unisolvence of polyharmonic splines at random points. CoRR (2023)
Francesco Dell'Accio, Alvise Sommariva, Marco Vianello
Random sampling and unisolvent interpolation by almost everywhere analytic functions. CoRR (2023)
Congpei An, Jia-Shu Ran, Alvise Sommariva
Hybrid hyperinterpolation over general regions. CoRR (2023)
Alvise Sommariva, Marco Vianello
TetraFreeQ: tetrahedra-free quadrature on polyhedral elements. CoRR (2022)
Alvise Sommariva, Marco Vianello
InRS: implementing the indicator function of NURBS-shaped planar domains. CoRR (2022)
Alvise Sommariva, Marco Vianello
inRS: Implementing the indicator function of NURBS-shaped planar domains. Appl. Math. Lett. 130 (2022)
Roberto Cavoretto, Alessandra De Rossi, Alvise Sommariva, Marco Vianello
RBFCUB: A numerical package for near-optimal meshless cubature on general polygons. Appl. Math. Lett. 125 (2022)
Alvise Sommariva, Marco Vianello
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Appl. Math. Lett. 120 (2021)
Alvise Sommariva, Marco Vianello
Numerical hyperinterpolation over spherical triangles. Math. Comput. Simul. 190 (2021)
Alvise Sommariva, Marco Vianello
RBF Moment computation and meshless cubature on general polygonal regions. Appl. Math. Comput. 409 (2021)
Edoardo Artioli, Alvise Sommariva, Marco Vianello
Algebraic cubature on polygonal elements with a circular edge. Comput. Math. Appl. 79 (7) (2020)
Angeles Martinez, Federico Piazzon, Alvise Sommariva, Marco Vianello
Quadrature-based polynomial optimization. Optim. Lett. 14 (5) (2020)
B. Bauman, Alvise Sommariva, Marco Vianello
Compressed algebraic cubature over polygons with applications to optical design. J. Comput. Appl. Math. 370 (2020)
Gérard Meurant, Alvise Sommariva
On the computation of sets of points with low Lebesgue constant on the unit disk. J. Comput. Appl. Math. 345 (2019)
Y. Sudhakar, Alvise Sommariva, Marco Vianello, Wolfgang A. Wall
On the Use of Compressed Polyhedral Quadrature Formulas in Embedded Interface Methods. SIAM J. Sci. Comput. 39 (3) (2017)
Alvise Sommariva, Marco Vianello
Numerical hyperinterpolation over nonstandard planar regions. Math. Comput. Simul. 141 (2017)
M. Gentile, Alvise Sommariva, Marco Vianello
Polynomial approximation and quadrature on geographic rectangles. Appl. Math. Comput. 297 (2017)
Alvise Sommariva, Marco Vianello
Polynomial fitting and interpolation on circular sections. Appl. Math. Comput. 258 (2015)
Gérard Meurant, Alvise Sommariva
Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab. Numer. Algorithms 67 (3) (2014)
Alvise Sommariva
Fast construction of Fejér and Clenshaw-Curtis rules for general weight functions. Comput. Math. Appl. 65 (4) (2013)
Stefano De Marchi, Martina Marchioro, Alvise Sommariva
Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder. Appl. Math. Comput. 218 (21) (2012)
Mattia Festa, Alvise Sommariva
Computing almost minimal formulas on the square. J. Comput. Appl. Math. 236 (17) (2012)
Francesca Rapetti, Alvise Sommariva, Marco Vianello
On the generation of symmetric Lebesgue-like points in the triangle. J. Comput. Appl. Math. 236 (18) (2012)
Matteo Briani, Alvise Sommariva, Marco Vianello
Computing Fekete and Lebesgue points: Simplex, square, disk. J. Comput. Appl. Math. 236 (9) (2012)
Len Bos, Jean-Paul Calvi, Norman Levenberg, Alvise Sommariva, Marco Vianello
Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points. Math. Comput. 80 (275) (2011)
Marco Caliari, Stefano De Marchi, Alvise Sommariva, Marco Vianello
Padua2DM: fast interpolation and cubature at the Padua points in Matlab/Octave. Numer. Algorithms 56 (1) (2011)
M. Gentile, Alvise Sommariva, Marco Vianello
Polynomial interpolation and cubature over polygons. J. Comput. Appl. Math. 235 (17) (2011)
Gabriele Santin, Alvise Sommariva, Marco Vianello
An algebraic cubature formula on curvilinear polygons. Appl. Math. Comput. 217 (24) (2011)
Len Bos, Stefano De Marchi, Alvise Sommariva, Marco Vianello
Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra. SIAM J. Numer. Anal. 48 (5) (2010)
Len Bos, Alvise Sommariva, Marco Vianello
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. J. Comput. Appl. Math. 235 (3) (2010)
Alvise Sommariva, Marco Vianello
Gauss-Green cubature and moment computation over arbitrary geometries. J. Comput. Appl. Math. 231 (2) (2009)
Alvise Sommariva, Marco Vianello
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Comput. Math. Appl. 57 (8) (2009)
Ian H. Sloan, Alvise Sommariva
Approximation on the sphere using radial basis functions plus polynomials. Adv. Comput. Math. 29 (2) (2008)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Nontensorial Clenshaw-Curtis cubature. Numer. Algorithms 49 (1-4) (2008)
Alvise Sommariva, Marco Vianello
Numerical Cubature on Scattered Data by Radial Basis Functions. Computing 76 (3-4) (2006)
Alvise Sommariva, Marco Vianello
Meshless cubature by Green's formula. Appl. Math. Comput. 183 (2) (2006)
Kendall E. Atkinson, Alvise Sommariva
On the Numerical Solution of Some Semilinear Elliptic Problems - II. Computing 74 (2) (2005)
Alvise Sommariva
A fast Nyström-Broyden solver by Chebyshev compression. Numer. Algorithms 38 (1-3) (2005)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Adaptive bivariate Chebyshev approximation. Numer. Algorithms 38 (1-3) (2005)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Fast Summation of Power Series with Coefficients Analytic at Infinity. Numer. Algorithms 27 (1) (2001)