Marco Vianello

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 35

Top Topics

Polynomial Approximation

Top Venues

Appl. Math. Lett.

J. Comput. Appl. Math.

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, 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)
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)
Francesco Dell'Accio, Filomena Di Tommaso, Najoua Siar, Marco Vianello
Numerical differentiation on scattered data through multivariate polynomial interpolation. CoRR (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)
Len Bos, Federico Piazzon, Marco Vianello
Near G-optimal Tchakaloff designs. Comput. Stat. 35 (2) (2020)
B. Bauman, Alvise Sommariva, Marco Vianello
Compressed algebraic cubature over polygons with applications to optical design. J. Comput. Appl. Math. 370 (2020)
Federico Piazzon, Marco Vianello
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Optim. Lett. 13 (6) (2019)
Len Bos, Marco Vianello
CaTchDes: MATLAB codes for Caratheodory-Tchakaloff Near-Optimal Regression Designs. SoftwareX 10 (2019)
Federico Piazzon, Marco Vianello
A note on total degree polynomial optimization by Chebyshev grids. Optim. Lett. 12 (1) (2018)
Marco Vianello
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Optim. Lett. 12 (7) (2018)
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)
Gaspare Da Fies, Marco Vianello
On the Lebesgue constant of subperiodic trigonometric interpolation. J. Approx. Theory 167 (2013)
Len Bos, Marco Vianello
Subperiodic trigonometric interpolation and quadrature. Appl. Math. Comput. 218 (21) (2012)
Renato Spigler, Marco Vianello
The "phase function" method to solve second-order asymptotically polynomial differential equations. Numerische Mathematik 121 (3) (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)
Angeles Martinez, Luca Bergamaschi, Marco Caliari, Marco Vianello
A massively parallel exponential integrator for advection-diffusion models. J. Comput. Appl. Math. 231 (1) (2009)
Alvise Sommariva, Marco Vianello
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Comput. Math. Appl. 57 (8) (2009)
Marco Caliari, Stefano De Marchi, Marco Vianello
Hyperinterpolation in the cube. Comput. Math. Appl. 55 (11) (2008)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Nontensorial Clenshaw-Curtis cubature. Numer. Algorithms 49 (1-4) (2008)
Marco Caliari, Stefano De Marchi, Marco Vianello
Algorithm 886: Padua2D - Lagrange Interpolation at Padua Points on Bivariate Domains. ACM Trans. Math. Softw. 35 (3) (2008)
Stefano De Marchi, Michela Redivo-Zaglia, Marco Vianello
Preface. Numer. Algorithms 45 (1-4) (2007)
Len Bos, Stefano De Marchi, Marco Vianello, Yuan Xu
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach. Numerische Mathematik 108 (1) (2007)
Alvise Sommariva, Marco Vianello
Numerical Cubature on Scattered Data by Radial Basis Functions. Computing 76 (3-4) (2006)
Luca Bergamaschi, Marco Caliari, Angeles Martinez, Marco Vianello
Comparing Leja and Krylov Approximations of Large Scale Matrix Exponentials. International Conference on Computational Science (4) (2006)
Marco Caliari, Marco Vianello, Stefano De Marchi, Roberto Montagna
Hyper2d: A numerical code for hyperinterpolation on rectangles. Appl. Math. Comput. 183 (2) (2006)
Len Bos, Stefano De Marchi, Marco Vianello
On the Lebesgue constant for the Xu interpolation formula. J. Approx. Theory 141 (2) (2006)
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello
A Numerical Study of the Xu Polynomial Interpolation Formula in Two Variables. Computing 76 (3-4) (2006)
Alvise Sommariva, Marco Vianello
Meshless cubature by Green's formula. Appl. Math. Comput. 183 (2) (2006)
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello, Yuan Xu
Bivariate Lagrange interpolation at the Padua points: The generating curve approach. J. Approx. Theory 143 (1) (2006)
Renato Spigler, Marco Vianello
Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations. Asymptot. Anal. 48 (4) (2006)
Marco Caliari, Stefano De Marchi, Marco Vianello
Bivariate polynomial interpolation on the square at new nodal sets. Appl. Math. Comput. 165 (2) (2005)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Adaptive bivariate Chebyshev approximation. Numer. Algorithms 38 (1-3) (2005)
Luca Bergamaschi, Marco Caliari, Angeles Martinez, Marco Vianello
A Parallel Exponential Integrator for Large-Scale Discretizations of Advection-Diffusion Models. PVM/MPI (2005)
Luca Bergamaschi, Marco Caliari, Marco Vianello
The ReLPM Exponential Integrator for FE Discretizations of Advection-Diffusion Equations. International Conference on Computational Science (2004)
Luca Bergamaschi, Marco Caliari, Marco Vianello
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Numer. Linear Algebra Appl. 10 (3) (2003)
Alvise Sommariva, Marco Vianello, Renato Zanovello
Fast Summation of Power Series with Coefficients Analytic at Infinity. Numer. Algorithms 27 (1) (2001)
Stefano De Marchi, Marco Vianello
Approximating the Approximant: A Numerical Code for Polynomial Compression of Discrete Integral Operators. Numer. Algorithms 28 (1-4) (2001)
Marco Vianello
Chebyshev-like compression of linear and nonlinear discretized integral operators. Neural Parallel Sci. Comput. 8 (3-4) (2000)
Silvia Dassié, Marco Vianello, Renato Zanovello
A new summation method for power series with rational coefficients. Math. Comput. 69 (230) (2000)
Luca Bergamaschi, Marco Vianello
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Numer. Linear Algebra Appl. 7 (1) (2000)
Giuseppe Borghi, Carlo Ferrari, Enrico Pagello, Marco Vianello
Model-based description of environment interaction for mobile robots. Mobile Robots / Intelligent Transportation Systems (1998)
Silvia Dassié, Marco Vianello, Renato Zanovello
Asymptotic summation of power series. Numerische Mathematik 80 (1) (1998)