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Journal Articles
- 2024
[j56]Len Bos, Alvise Sommariva
, Marco Vianello:
A note on polynomial-free unisolvence of polyharmonic splines at random points. Appl. Math. Lett. 157: 109161 (2024)- [j55]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: 115766 (2024) - [j54]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: 115793 (2024) - 2023
- [j53]Francesco Dell'Accio, Alvise Sommariva, Marco Vianello:
Random sampling and unisolvent interpolation by almost everywhere analytic functions. Appl. Math. Lett. 145: 108734 (2023) - 2022
- [j52]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: 107704 (2022) - [j51]Alvise Sommariva, Marco Vianello:
inRS: Implementing the indicator function of NURBS-shaped planar domains. Appl. Math. Lett. 130: 108026 (2022) - 2021
- [j50]Alvise Sommariva, Marco Vianello:
RBF Moment computation and meshless cubature on general polygonal regions. Appl. Math. Comput. 409: 126375 (2021) - [j49]Alvise Sommariva, Marco Vianello:
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Appl. Math. Lett. 120: 107282 (2021) - [j48]Alvise Sommariva, Marco Vianello:
Numerical hyperinterpolation over spherical triangles. Math. Comput. Simul. 190: 15-22 (2021) - 2020
- [j47]Edoardo Artioli, Alvise Sommariva, Marco Vianello:
Algebraic cubature on polygonal elements with a circular edge. Comput. Math. Appl. 79(7): 2057-2066 (2020) - [j46]Len Bos, Federico Piazzon, Marco Vianello:
Near G-optimal Tchakaloff designs. Comput. Stat. 35(2): 803-819 (2020) - [j45]B. Bauman, Alvise Sommariva, Marco Vianello:
Compressed algebraic cubature over polygons with applications to optical design. J. Comput. Appl. Math. 370 (2020) - [j44]Angeles Martinez, Federico Piazzon, Alvise Sommariva, Marco Vianello:
Quadrature-based polynomial optimization. Optim. Lett. 14(5): 1027-1036 (2020) - 2019
- [j43]Federico Piazzon, Marco Vianello:
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Optim. Lett. 13(6): 1325-1343 (2019) - [j42]Len Bos, Marco Vianello:
CaTchDes: MATLAB codes for Caratheodory-Tchakaloff Near-Optimal Regression Designs. SoftwareX 10: 100349 (2019) - 2018
- [j41]Federico Piazzon, Marco Vianello:
A note on total degree polynomial optimization by Chebyshev grids. Optim. Lett. 12(1): 63-71 (2018) - [j40]Marco Vianello:
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Optim. Lett. 12(7): 1659-1667 (2018) - 2017
- [j39]M. Gentile, Alvise Sommariva, Marco Vianello:
Polynomial approximation and quadrature on geographic rectangles. Appl. Math. Comput. 297: 159-179 (2017) - [j38]Alvise Sommariva, Marco Vianello:
Numerical hyperinterpolation over nonstandard planar regions. Math. Comput. Simul. 141: 110-120 (2017) - [j37]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) - 2015
- [j36]Alvise Sommariva, Marco Vianello:
Polynomial fitting and interpolation on circular sections. Appl. Math. Comput. 258: 410-424 (2015) - 2013
- [j35]Gaspare Da Fies, Marco Vianello:
On the Lebesgue constant of subperiodic trigonometric interpolation. J. Approx. Theory 167: 59-64 (2013) - 2012
- [j34]Len Bos, Marco Vianello:
Subperiodic trigonometric interpolation and quadrature. Appl. Math. Comput. 218(21): 10630-10638 (2012) - [j33]Matteo Briani, Alvise Sommariva, Marco Vianello:
Computing Fekete and Lebesgue points: Simplex, square, disk. J. Comput. Appl. Math. 236(9): 2477-2486 (2012) - [j32]Francesca Rapetti, Alvise Sommariva, Marco Vianello:
On the generation of symmetric Lebesgue-like points in the triangle. J. Comput. Appl. Math. 236(18): 4925-4932 (2012) - [j31]Renato Spigler, Marco Vianello:
The "phase function" method to solve second-order asymptotically polynomial differential equations. Numerische Mathematik 121(3): 565-586 (2012) - 2011
- [j30]Gabriele Santin, Alvise Sommariva, Marco Vianello:
An algebraic cubature formula on curvilinear polygons. Appl. Math. Comput. 217(24): 10003-10015 (2011) - [j29]M. Gentile, Alvise Sommariva, Marco Vianello:
Polynomial interpolation and cubature over polygons. J. Comput. Appl. Math. 235(17): 5232-5239 (2011) - [j28]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): 1623-1638 (2011) - [j27]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): 45-60 (2011) - 2010
- [j26]Len Bos, Alvise Sommariva, Marco Vianello:
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. J. Comput. Appl. Math. 235(3): 660-668 (2010) - [j25]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): 1984-1999 (2010) - 2009
- [j24]Alvise Sommariva, Marco Vianello:
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Comput. Math. Appl. 57(8): 1324-1336 (2009) - [j23]Angeles Martinez, Luca Bergamaschi, Marco Caliari, Marco Vianello:
A massively parallel exponential integrator for advection-diffusion models. J. Comput. Appl. Math. 231(1): 82-91 (2009) - [j22]Alvise Sommariva, Marco Vianello:
Gauss-Green cubature and moment computation over arbitrary geometries. J. Comput. Appl. Math. 231(2): 886-896 (2009) - 2008
- [j21]Marco Caliari, Stefano De Marchi, Marco Vianello:
Hyperinterpolation in the cube. Comput. Math. Appl. 55(11): 2490-2497 (2008) - [j20]Alvise Sommariva, Marco Vianello, Renato Zanovello:
Nontensorial Clenshaw-Curtis cubature. Numer. Algorithms 49(1-4): 409-427 (2008) - [j19]Marco Caliari, Stefano De Marchi, Marco Vianello:
Algorithm 886: Padua2D - Lagrange Interpolation at Padua Points on Bivariate Domains. ACM Trans. Math. Softw. 35(3): 21:1-21:11 (2008) - 2007
- [j18]Stefano De Marchi, Michela Redivo-Zaglia, Marco Vianello:
Preface. Numer. Algorithms 45(1-4): 1-9 (2007) - [j17]Len Bos, Stefano De Marchi, Marco Vianello, Yuan Xu:
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach. Numerische Mathematik 108(1): 43-57 (2007) - 2006
- [j16]Alvise Sommariva, Marco Vianello:
Meshless cubature by Green's formula. Appl. Math. Comput. 183(2): 1098-1107 (2006) - [j15]Marco Caliari, Marco Vianello, Stefano De Marchi, Roberto Montagna:
Hyper2d: A numerical code for hyperinterpolation on rectangles. Appl. Math. Comput. 183(2): 1138-1147 (2006) - [j14]Renato Spigler, Marco Vianello:
Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations. Asymptot. Anal. 48(4): 267-294 (2006) - [j13]Alvise Sommariva, Marco Vianello:
Numerical Cubature on Scattered Data by Radial Basis Functions. Computing 76(3-4): 295-310 (2006) - [j12]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): 311-324 (2006) - [j11]Len Bos, Stefano De Marchi, Marco Vianello:
On the Lebesgue constant for the Xu interpolation formula. J. Approx. Theory 141(2): 134-141 (2006) - [j10]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): 15-25 (2006) - 2005
- [j9]Marco Caliari, Stefano De Marchi, Marco Vianello:
Bivariate polynomial interpolation on the square at new nodal sets. Appl. Math. Comput. 165(2): 261-274 (2005) - [j8]Alvise Sommariva, Marco Vianello, Renato Zanovello:
Adaptive bivariate Chebyshev approximation. Numer. Algorithms 38(1-3): 79-94 (2005) - 2003
- [j7]Luca Bergamaschi, Marco Caliari, Marco Vianello:
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Numer. Linear Algebra Appl. 10(3): 271-289 (2003) - 2001
- [j6]Alvise Sommariva, Marco Vianello, Renato Zanovello:
Fast Summation of Power Series with Coefficients Analytic at Infinity. Numer. Algorithms 27(1): 77-87 (2001) - [j5]Stefano De Marchi, Marco Vianello:
Approximating the Approximant: A Numerical Code for Polynomial Compression of Discrete Integral Operators. Numer. Algorithms 28(1-4): 101-116 (2001) - 2000
- [j4]Silvia Dassié, Marco Vianello, Renato Zanovello:
A new summation method for power series with rational coefficients. Math. Comput. 69(230): 749-756 (2000) - [j3]Luca Bergamaschi, Marco Vianello:
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Numer. Linear Algebra Appl. 7(1): 27-45 (2000) - [j2]Marco Vianello:
Chebyshev-like compression of linear and nonlinear discretized integral operators. Neural Parallel Sci. Comput. 8(3-4): 327-354 (2000) - 1998
- [j1]Silvia Dassié, Marco Vianello, Renato Zanovello:
Asymptotic summation of power series. Numerische Mathematik 80(1): 61-73 (1998)
Conference and Workshop Papers
- 2006
- [c4]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: 685-692 - 2005
- [c3]Luca Bergamaschi, Marco Caliari, Angeles Martinez, Marco Vianello:
A Parallel Exponential Integrator for Large-Scale Discretizations of Advection-Diffusion Models. PVM/MPI 2005: 483-492 - 2004
- [c2]Luca Bergamaschi, Marco Caliari, Marco Vianello:
The ReLPM Exponential Integrator for FE Discretizations of Advection-Diffusion Equations. International Conference on Computational Science 2004: 434-442 - 1998
- [c1]Giuseppe Borghi, Carlo Ferrari, Enrico Pagello, Marco Vianello:
Model-based description of environment interaction for mobile robots. Mobile Robots / Intelligent Transportation Systems 1998: 262-273
Informal and Other Publications
- 2024
- [i16]Alvise Sommariva, Marco Vianello:
Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling. CoRR abs/2401.13322 (2024) - [i15]Francesco Dell'Accio, Alvise Sommariva, Marco Vianello:
Unisolvence of random Kansa collocation by Thin-Plate Splines for the Poisson equation. CoRR abs/2403.06646 (2024) - [i14]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 abs/2403.18017 (2024) - [i13]Alvise Sommariva, Marco Vianello:
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics. CoRR abs/2404.10117 (2024) - [i12]Alvise Sommariva, Marco Vianello:
Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity. CoRR abs/2405.18550 (2024) - [i11]Maryam Mohammadi, Alvise Sommariva, Marco Vianello:
Unisolvence of Kansa collocation for elliptic equations by polyharmonic splines with random fictitious centers. CoRR abs/2410.03279 (2024) - 2023
- [i10]Giacomo Elefante, Alvise Sommariva, Marco Vianello:
Compressed QMC volume and surface integration on union of balls. CoRR abs/2303.01460 (2023) - [i9]Francesco Dell'Accio, Alvise Sommariva, Marco Vianello:
Random sampling and unisolvent interpolation by almost everywhere analytic functions. CoRR abs/2303.14074 (2023) - [i8]Giacomo Elefante, Alvise Sommariva, Marco Vianello:
Qsurf: compressed QMC integration on parametric surfaces. CoRR abs/2304.08090 (2023) - [i7]Roberto Cavoretto, Francesco Dell'Accio, Alessandra De Rossi, Filomena Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello:
Numerical cubature on scattered data by adaptive interpolation. CoRR abs/2307.07203 (2023) - [i6]Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello:
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections. CoRR abs/2311.06511 (2023) - [i5]Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva, Marco Vianello:
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball. CoRR abs/2311.18656 (2023) - [i4]Len Bos, Alvise Sommariva, Marco Vianello:
A note on polynomial-free unisolvence of polyharmonic splines at random points. CoRR abs/2312.13710 (2023) - 2022
- [i3]Alvise Sommariva, Marco Vianello:
InRS: implementing the indicator function of NURBS-shaped planar domains. CoRR abs/2201.02393 (2022) - [i2]Alvise Sommariva, Marco Vianello:
TetraFreeQ: tetrahedra-free quadrature on polyhedral elements. CoRR abs/2211.16620 (2022) - 2021
- [i1]Francesco Dell'Accio, Filomena Di Tommaso, Najoua Siar, Marco Vianello:
Numerical differentiation on scattered data through multivariate polynomial interpolation. CoRR abs/2105.09262 (2021)
Coauthor Index
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