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Author ID: vianello.marco Recent zbMATH articles by "Vianello, Marco"
Published as: Vianello, Marco; Vianello, M.
Homepage: https://www.math.unipd.it/~marcov/
External Links: MGP · Wikidata · Google Scholar · dblp
Documents Indexed: 152 Publications since 1990, including 7 Additional arXiv Preprints
5 Contributions as Editor
Software Indexed: 19 Packages
Biographic References: 1 Publication
Co-Authors: 46 Co-Authors with 147 Joint Publications
1,019 Co-Co-Authors
all top 5

Serials

15 Journal of Computational and Applied Mathematics
14 Dolomites Research Notes on Approximation
8 Journal of Mathematical Analysis and Applications
8 Applied Mathematics and Computation
7 Numerical Algorithms
6 Numerical Functional Analysis and Optimization
5 Journal of Approximation Theory
5 Applied Mathematics Letters
4 BIT
4 ETNA. Electronic Transactions on Numerical Analysis
4 Mathematical Inequalities & Applications
4 Optimization Letters
3 Computers & Mathematics with Applications
3 Mathematics of Computation
3 Numerische Mathematik
3 Applied Numerical Mathematics
2 Applicable Analysis
2 Calcolo
2 Computing
2 Mathematics and Computers in Simulation
2 Proceedings of the American Mathematical Society
2 Journal of Integral Equations and Applications
2 Numerical Linear Algebra with Applications
2 Numerical Mathematics: Theory, Methods and Applications
1 American Mathematical Monthly
1 IMA Journal of Numerical Analysis
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annales Polonici Mathematici
1 Archivum Mathematicum
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Real Analysis Exchange
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Asymptotic Analysis
1 Differential and Integral Equations
1 Computational Statistics
1 SIAM Journal on Mathematical Analysis
1 Tatra Mountains Mathematical Publications
1 SIAM Journal on Scientific Computing
1 Neural, Parallel & Scientific Computations
1 Filomat
1 Methods and Applications of Analysis
1 East Journal on Approximations
1 Engineering Analysis with Boundary Elements
1 Journal of Inequalities and Applications
1 Sampling Theory in Signal and Image Processing
1 Mediterranean Journal of Mathematics
1 Applicable Analysis and Discrete Mathematics
1 Mathematics in Engineering

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 1,362 times in 520 Documents Cited by Year
Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
67
2006
Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005
Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M.
64
2010
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
55
2007
Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
54
2005
Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points. Zbl 1228.41002
Bos, L.; Calvi, J.-P.; Levenberg, N.; Sommariva, A.; Vianello, M.
43
2011
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Zbl 1186.65028
Sommariva, Alvise; Vianello, Marco
42
2009
Gauss-Green cubature and moment computation over arbitrary geometries. Zbl 1170.65017
Sommariva, Alvise; Vianello, Marco
38
2009
Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
34
2007
Compression of multivariate discrete measures and applications. Zbl 1327.41006
Sommariva, Alvise; Vianello, Marco
29
2015
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
29
2004
Carathéodory-Tchakaloff subsampling. Zbl 1370.94399
Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
24
2017
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Zbl 0983.65058
Bergamaschi, L.; Vianello, M.
23
2000
Computing Fekete and Lebesgue points: Simplex, square, disk. Zbl 1242.41002
Briani, Matteo; Sommariva, Alvise; Vianello, Marco
23
2012
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
22
2011
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
Numerical cubature on scattered data by radial basis functions. Zbl 1091.65026
Sommariva, A.; Vianello, M.
18
2006
Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018
Da Fies, Gaspare; Vianello, Marco
18
2012
On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco
18
2006
Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028
Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
17
2011
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Zbl 1071.65048
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
17
2003
Algebraic cubature by linear blending of elliptical arcs. Zbl 1285.65014
Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco
17
2013
New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031
De Marchi, Stefano; Vianello, Marco; Xu, Yuan
16
2009
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
16
2009
Low cardinality admissible meshes on quadrangles, triangles and disks. Zbl 1238.41005
Bos, Len; Vianello, Marco
16
2012
Small perturbations of polynomial meshes. Zbl 1275.41012
Piazzon, F.; Vianello, M.
15
2013
A note on total degree polynomial optimization by Chebyshev grids. Zbl 1411.90278
Piazzon, Federico; Vianello, Marco
15
2018
Algebraic cubature on polygonal elements with a circular edge. Zbl 1454.65159
Artioli, E.; Sommariva, A.; Vianello, M.
14
2020
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
13
2007
Polynomial interpolation and cubature over polygons. Zbl 1221.65033
Gentile, M.; Sommariva, A.; Vianello, M.
13
2011
Subperiodic trigonometric interpolation and quadrature. Zbl 1252.65219
Bos, Len; Vianello, Marco
13
2012
Accelerating the Lawson-Hanson NNLS solver for large-scale Tchakaloff regression designs. Zbl 1540.65586
Dessole, Monica; Marcuzzi, Fabio; Vianello, Marco
13
2020
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
12
2008
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
12
2004
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 1487.65028
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
12
2022
Meshless cubature by Green’s formula. Zbl 1105.65320
Sommariva, Alvise; Vianello, Marco
12
2006
Comparing Leja and Krylov approximations of large scale matrix exponentials. Zbl 1157.65366
Bergamaschi, L.; Caliari, M.; Martínez, A.; Vianello, M.
12
2006
Nontensorial Clenshaw-Curtis cubature. Zbl 1167.65350
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
12
2008
Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028
Bos, L.; De Marchi, S.; Vianello, M.
12
2017
Compressed algebraic cubature over polygons with applications to optical design. Zbl 1493.65055
Bauman, B.; Sommariva, A.; Vianello, M.
11
2020
A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009
Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M.
11
2006
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. Zbl 1200.65010
Bos, Len; Sommariva, Alvise; Vianello, Marco
10
2010
WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)”=\(0\) and the analogous difference equation. Zbl 0757.34045
Spigler, Renato; Vianello, Marco
10
1992
A numerical method for evaluating zeros of solutions of second-order linear differential equations. Zbl 0676.65041
Spigler, Renato; Vianello, Marco
10
1990
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
10
2012
Suboptimal polynomial meshes on planar Lipschitz domains. Zbl 1300.41005
Piazzon, F.; Vianello, M.
10
2014
The LEM exponential integrator for advection-diffusion-reaction equations. Zbl 1134.65063
Caliari, Marco; Vianello, Marco; Bergamaschi, Luca
9
2007
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
2006
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0749.39001
Spigler, Renato; Vianello, Marco
9
1992
Analytic transformations of admissible meshes. Zbl 1239.30023
Piazzon, F.; Vianello, M.
9
2010
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Zbl 1414.90332
Vianello, Marco
9
2018
On the use of compressed polyhedral quadrature formulas in embedded interface methods. Zbl 1368.65034
Sudhakar, Y.; Sommariva, Alvise; Vianello, Marco; Wall, Wolfgang A.
9
2017
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Zbl 1434.90156
Piazzon, Federico; Vianello, Marco
9
2019
Quadrature-based polynomial optimization. Zbl 1445.90076
Martinez, Angeles; Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
9
2020
Random sampling and unisolvent interpolation by almost everywhere analytic functions. Zbl 1530.41002
Dell’Accio, Francesco; Sommariva, Alvise; Vianello, Marco
9
2023
A survey on the Liouville-Green (WKB) approximation for linear difference equation of the second order. Zbl 0892.39018
Spigler, Renato; Vianello, Marco
8
1997
Norming meshes by Bernstein-like inequalities. Zbl 1295.26017
Vianello, Marco
8
2014
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
8
2012
Polynomial fitting and interpolation on circular sections. Zbl 1338.41023
Sommariva, Alvise; Vianello, Marco
8
2015
Numerical hyperinterpolation over spherical triangles. Zbl 1540.65040
Sommariva, A.; Vianello, M.
7
2021
Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307
Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto
7
2006
Convergence analysis of the semi-implicit Euler method for abstract evolution equations. Zbl 0827.65061
Spigler, Renato; Vianello, Marco
7
1995
Product Gaussian quadrature on circular lunes. Zbl 1324.65035
Da Fies, Gaspare; Vianello, Marco
7
2014
Polynomial approximation and quadrature on geographic rectangles. Zbl 1411.65039
Gentile, M.; Sommariva, A.; Vianello, M.
7
2017
Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
7
2022
Numerical hyperinterpolation over nonstandard planar regions. Zbl 1540.65099
Sommariva, Alvise; Vianello, Marco
7
2017
Computing Tchakaloff-like cubature rules on spline curvilinear polygons. Zbl 1540.65101
Sommariva, Alvise; Vianello, Marco
7
2021
Jacobi norming meshes. Zbl 1351.26031
Piazzon, Federico; Vianello, Marco
6
2016
Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021
De Marchi, Stefano; Vianello, Marco
6
1996
On the Lebesgue constant of subperiodic trigonometric interpolation. Zbl 1266.42005
Da Fies, Gaspare; Vianello, Marco
6
2013
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Zbl 1524.65110
Sommariva, A.; Vianello, M.
6
2021
Tchakaloff polynomial meshes. Zbl 1431.41004
Bos, Len; Vianello, Marco
6
2019
Meshless cubature over the disk using thin-plate splines. Zbl 1152.65040
Punzi, Alessandro; Sommariva, Alvise; Vianello, Marco
5
2008
Approximating fixed-points of decreasing operators in spaces of continuous functions. Zbl 0907.45006
Sommariva, Alvise; Vianello, Marco
5
1998
Finite moments perturbations of \(y''=0\) in Banach algebras. Zbl 0779.34052
Spigler, Renato; Vianello, Marco
5
1993
Cesàro’s theorems for complex sequences. Zbl 0795.40002
Spigler, Renato; Vianello, Marco
5
1993
Discrete and continuous Liouville-Green-Olver approximations: A unified treatment via Volterra-Stieltjes integral equations. Zbl 0791.39006
Spigler, Renato; Vianello, Marco
5
1994
DISC: an adaptive numerical differentiator by local polynomial interpolation on multivariate scattered data. Zbl 1540.65082
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
5
2022
CQMC: an improved code for low-dimensional compressed quasi-MonteCarlo cubature. Zbl 1540.65093
Elefante, Giacomo; Sommariva, Alvise; Vianello, Marco
5
2022
Stability inequalities for Lebesgue constants via Markov-like inequalities. Zbl 1540.41063
Vianello, Marco; Piazzon, Federico
5
2018
Low cardinality positive interior cubature on NURBS-shaped domains. Zbl 1514.65018
Sommariva, Alvise; Vianello, Marco
5
2023
Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Zbl 0881.33008
Spigler, Renato; Vianello, Marco
4
1996
Approximate Fekete points for weighted polynomial interpolation. Zbl 1192.41002
Sommariva, A.; Vianello, M.
4
2010
RBF moment computation and meshless cubature on general polygonal regions. Zbl 1510.65032
Sommariva, A.; Vianello, M.
4
2021
Numerical quadrature on the intersection of planar disks. Zbl 1499.65095
Sommariva, Alvise; Vianello, Marco
4
2017
Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133
De Marchi, Stefano; Vianello, Marco
4
2003
Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations. Zbl 0979.65047
Sommariva, Alvise; Vianello, Marco
4
2000
Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003
Bos, L.; De Marchi, S.; Vianello, M.
4
2017
Liouville-Green-Olver approximations for complex difference equations. Zbl 0918.39002
Spigler, Renato; Vianello, Marco; Locatelli, Francesca
4
1999
WKB-type approximations for second-order differential equations in \(C^*\)-algebras. Zbl 0852.34059
Spigler, Renato; Vianello, Marco
4
1996
An algebraic cubature formula on curvilinear polygons. Zbl 1233.65026
Santin, G.; Sommariva, A.; Vianello, M.
4
2011
Near G-optimal Tchakaloff designs. Zbl 1482.62004
Bos, Len; Piazzon, Federico; Vianello, Marco
4
2020
Nearly optimal nested sensors location for polynomial regression on complex geometries. Zbl 1421.94025
Sommariva, Alvise; Vianello, Marco
4
2018
Asymptotic approximations for second-order linear difference equations in Banach algebras. I. Zbl 1138.39015
Soldà, Tania; Spigler, Renato; Vianello, Marco
3
2008
A generalization of l’Hôpital’s rule via absolute continuity and Banach modules. Zbl 0808.26009
Vianello, Marco
3
1993
Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data. Zbl 0743.34043
Spigler, Renato; Vianello, Marco
3
1991
Liouville-Green asymptotic for almost-diagonal second-order matrix differential equations. Zbl 1126.34008
Spigler, Renato; Vianello, Marco
3
2006
Compressed sampling inequalities by Tchakaloff’s theorem. Zbl 1334.41012
Vianello, Marco
3
2016
Adaptive bivariate Chebyshev approximation. Zbl 1065.41016
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
3
2005
Constructive analysis of purely integral Boltzmann models. Zbl 0974.45005
Sommariva, Alvise; Vianello, Marco
3
1999
On some connections between well-posedness and general properties of numerical methods. Zbl 0834.65040
Vianello, M.; Zanovello, R.
3
1995
A note on polynomial-free unisolvence of polyharmonic splines at random points. Zbl 1546.41005
Bos, Len; Sommariva, Alvise; Vianello, Marco
3
2024
Numerical cubature on scattered data by adaptive interpolation. Zbl 07866506
Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Sommariva, Alvise; Vianello, Marco
2
2024
Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling. Zbl 07938461
Sommariva, Alvise; Vianello, Marco
1
2024
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball. Zbl 1547.65020
Białas-Cież, L.; Kenne, D. J.; Sommariva, A.; Vianello, M.
1
2024
Random sampling and unisolvent interpolation by almost everywhere analytic functions. Zbl 1530.41002
Dell’Accio, Francesco; Sommariva, Alvise; Vianello, Marco
9
2023
Low cardinality positive interior cubature on NURBS-shaped domains. Zbl 1514.65018
Sommariva, Alvise; Vianello, Marco
5
2023
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 1487.65028
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
12
2022
Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
7
2022
DISC: an adaptive numerical differentiator by local polynomial interpolation on multivariate scattered data. Zbl 1540.65082
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
5
2022
CQMC: an improved code for low-dimensional compressed quasi-MonteCarlo cubature. Zbl 1540.65093
Elefante, Giacomo; Sommariva, Alvise; Vianello, Marco
5
2022
InRS: implementing the indicator function of NURBS-shaped planar domains. Zbl 1496.65031
Sommariva, Alvise; Vianello, Marco
3
2022
Cubature rules with positive weights on union of disks. Zbl 1540.65102
Sommariva, Alvise; Vianello, Marco
3
2022
Numerical hyperinterpolation over spherical triangles. Zbl 1540.65040
Sommariva, A.; Vianello, M.
7
2021
Computing Tchakaloff-like cubature rules on spline curvilinear polygons. Zbl 1540.65101
Sommariva, Alvise; Vianello, Marco
7
2021
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Zbl 1524.65110
Sommariva, A.; Vianello, M.
6
2021
RBF moment computation and meshless cubature on general polygonal regions. Zbl 1510.65032
Sommariva, A.; Vianello, M.
4
2021
Algebraic cubature on polygonal elements with a circular edge. Zbl 1454.65159
Artioli, E.; Sommariva, A.; Vianello, M.
14
2020
Accelerating the Lawson-Hanson NNLS solver for large-scale Tchakaloff regression designs. Zbl 1540.65586
Dessole, Monica; Marcuzzi, Fabio; Vianello, Marco
13
2020
Compressed algebraic cubature over polygons with applications to optical design. Zbl 1493.65055
Bauman, B.; Sommariva, A.; Vianello, M.
11
2020
Quadrature-based polynomial optimization. Zbl 1445.90076
Martinez, Angeles; Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
9
2020
Near G-optimal Tchakaloff designs. Zbl 1482.62004
Bos, Len; Piazzon, Federico; Vianello, Marco
4
2020
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Zbl 1434.90156
Piazzon, Federico; Vianello, Marco
9
2019
Tchakaloff polynomial meshes. Zbl 1431.41004
Bos, Len; Vianello, Marco
6
2019
A note on total degree polynomial optimization by Chebyshev grids. Zbl 1411.90278
Piazzon, Federico; Vianello, Marco
15
2018
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Zbl 1414.90332
Vianello, Marco
9
2018
Stability inequalities for Lebesgue constants via Markov-like inequalities. Zbl 1540.41063
Vianello, Marco; Piazzon, Federico
5
2018
Nearly optimal nested sensors location for polynomial regression on complex geometries. Zbl 1421.94025
Sommariva, Alvise; Vianello, Marco
4
2018
Global polynomial optimization by norming sets on sphere and torus. Zbl 1540.90224
Vianello, Marco
3
2018
Near optimal Tchakaloff meshes for compact sets with Markov exponent 2. Zbl 1540.41058
Vianello, Marco
2
2018
Subperiodic trigonometric hyperinterpolation. Zbl 1405.42003
Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco
1
2018
Carathéodory-Tchakaloff subsampling. Zbl 1370.94399
Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
24
2017
Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028
Bos, L.; De Marchi, S.; Vianello, M.
12
2017
On the use of compressed polyhedral quadrature formulas in embedded interface methods. Zbl 1368.65034
Sudhakar, Y.; Sommariva, Alvise; Vianello, Marco; Wall, Wolfgang A.
9
2017
Polynomial approximation and quadrature on geographic rectangles. Zbl 1411.65039
Gentile, M.; Sommariva, A.; Vianello, M.
7
2017
Numerical hyperinterpolation over nonstandard planar regions. Zbl 1540.65099
Sommariva, Alvise; Vianello, Marco
7
2017
Numerical quadrature on the intersection of planar disks. Zbl 1499.65095
Sommariva, Alvise; Vianello, Marco
4
2017
Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003
Bos, L.; De Marchi, S.; Vianello, M.
4
2017
Optimal polynomial meshes and Carathéodory-Tchakaloff submeshes on the sphere. Zbl 1370.41012
Leopardi, Paul; Sommariva, Alvise; Vianello, Marco
3
2017
Jacobi norming meshes. Zbl 1351.26031
Piazzon, Federico; Vianello, Marco
6
2016
Compressed sampling inequalities by Tchakaloff’s theorem. Zbl 1334.41012
Vianello, Marco
3
2016
Compression of multivariate discrete measures and applications. Zbl 1327.41006
Sommariva, Alvise; Vianello, Marco
29
2015
Polynomial fitting and interpolation on circular sections. Zbl 1338.41023
Sommariva, Alvise; Vianello, Marco
8
2015
Suboptimal polynomial meshes on planar Lipschitz domains. Zbl 1300.41005
Piazzon, F.; Vianello, M.
10
2014
Norming meshes by Bernstein-like inequalities. Zbl 1295.26017
Vianello, Marco
8
2014
Product Gaussian quadrature on circular lunes. Zbl 1324.65035
Da Fies, Gaspare; Vianello, Marco
7
2014
Algebraic cubature by linear blending of elliptical arcs. Zbl 1285.65014
Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco
17
2013
Small perturbations of polynomial meshes. Zbl 1275.41012
Piazzon, F.; Vianello, M.
15
2013
On the Lebesgue constant of subperiodic trigonometric interpolation. Zbl 1266.42005
Da Fies, Gaspare; Vianello, Marco
6
2013
Computing Fekete and Lebesgue points: Simplex, square, disk. Zbl 1242.41002
Briani, Matteo; Sommariva, Alvise; Vianello, Marco
23
2012
Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018
Da Fies, Gaspare; Vianello, Marco
18
2012
Low cardinality admissible meshes on quadrangles, triangles and disks. Zbl 1238.41005
Bos, Len; Vianello, Marco
16
2012
Subperiodic trigonometric interpolation and quadrature. Zbl 1252.65219
Bos, Len; Vianello, Marco
13
2012
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
10
2012
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
8
2012
Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points. Zbl 1228.41002
Bos, L.; Calvi, J.-P.; Levenberg, N.; Sommariva, A.; Vianello, M.
43
2011
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
22
2011
Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028
Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
17
2011
Polynomial interpolation and cubature over polygons. Zbl 1221.65033
Gentile, M.; Sommariva, A.; Vianello, M.
13
2011
An algebraic cubature formula on curvilinear polygons. Zbl 1233.65026
Santin, G.; Sommariva, A.; Vianello, M.
4
2011
Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005
Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M.
64
2010
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. Zbl 1200.65010
Bos, Len; Sommariva, Alvise; Vianello, Marco
10
2010
Analytic transformations of admissible meshes. Zbl 1239.30023
Piazzon, F.; Vianello, M.
9
2010
Approximate Fekete points for weighted polynomial interpolation. Zbl 1192.41002
Sommariva, A.; Vianello, M.
4
2010
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Zbl 1186.65028
Sommariva, Alvise; Vianello, Marco
42
2009
Gauss-Green cubature and moment computation over arbitrary geometries. Zbl 1170.65017
Sommariva, Alvise; Vianello, Marco
38
2009
New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031
De Marchi, Stefano; Vianello, Marco; Xu, Yuan
16
2009
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
16
2009
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
12
2008
Nontensorial Clenshaw-Curtis cubature. Zbl 1167.65350
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
12
2008
Meshless cubature over the disk using thin-plate splines. Zbl 1152.65040
Punzi, Alessandro; Sommariva, Alvise; Vianello, Marco
5
2008
Asymptotic approximations for second-order linear difference equations in Banach algebras. I. Zbl 1138.39015
Soldà, Tania; Spigler, Renato; Vianello, Marco
3
2008
Asymptotic approximations for second-order linear difference equations in Banach algebras. II. Zbl 1153.39306
Soldà, Tania; Spigler, Renato; Vianello, Marco
1
2008
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
55
2007
Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
34
2007
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
13
2007
The LEM exponential integrator for advection-diffusion-reaction equations. Zbl 1134.65063
Caliari, Marco; Vianello, Marco; Bergamaschi, Luca
9
2007
Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. Zbl 1119.34004
Spigler, Renato; Vianello, Marco
3
2007
Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
67
2006
Numerical cubature on scattered data by radial basis functions. Zbl 1091.65026
Sommariva, A.; Vianello, M.
18
2006
On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco
18
2006
Meshless cubature by Green’s formula. Zbl 1105.65320
Sommariva, Alvise; Vianello, Marco
12
2006
Comparing Leja and Krylov approximations of large scale matrix exponentials. Zbl 1157.65366
Bergamaschi, L.; Caliari, M.; Martínez, A.; Vianello, M.
12
2006
A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009
Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M.
11
2006
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
2006
Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307
Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto
7
2006
Liouville-Green asymptotic for almost-diagonal second-order matrix differential equations. Zbl 1126.34008
Spigler, Renato; Vianello, Marco
3
2006
Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
54
2005
Adaptive bivariate Chebyshev approximation. Zbl 1065.41016
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
3
2005
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
29
2004
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
12
2004
Adaptive bivariate Chebyshev approximation and efficient evaluation if integral operators. Zbl 1060.65689
Mardegan, Alberto; Sommariva, Alvise; Vianello, Marco; Zanovello; Renato
2
2004
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems. Zbl 1071.65048
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
17
2003
Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133
De Marchi, Stefano; Vianello, Marco
4
2003
Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145
De Marchi, Stefano; Vianello, Marco
3
2001
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Zbl 0983.65058
Bergamaschi, L.; Vianello, M.
23
2000
Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations. Zbl 0979.65047
Sommariva, Alvise; Vianello, Marco
4
2000
Chebyshev-like compression of linear and nonlinear discretized integral operators. Zbl 0986.65141
Vianello, Marco
2
2000
A new summation method for power series with rational coefficients. Zbl 0941.65002
Dassiè, Silvia; Vianello, Marco; Zanovello, Renato
2
2000
Constructive approximation for a class of perturbed Hammerstein integral equations. Zbl 0956.45006
Sommariva, Alvise; Vianello, Marco
2
2000
...and 29 more Documents
all top 5

Cited by 678 Authors

88 Vianello, Marco
56 Sommariva, Alvise
32 De Marchi, Stefano
17 Caliari, Marco
13 Spigler, Renato
12 Bos, Len P.
12 Dell’Accio, Francesco
11 Piazzon, Federico
10 Białas-Cież, Leokadia
9 Cavoretto, Roberto
9 De Rossi, Alessandra
8 Artioli, Edoardo
8 Bremer, James C.
8 Di Tommaso, Filomena
8 Erb, Wolfgang
8 Marchetti, Francesco
7 Beirão da Veiga, Lourenço
7 Elefante, Giacomo
7 Narayan, Akil C.
7 Perracchione, Emma
7 Xu, Yuan
6 An, Congpei
6 Bergamaschi, Luca
6 Calvi, Jean-Paul
6 Karvonen, Toni
6 Kroó, András
6 Lovadina, Carlo
6 Martínez, Ángeles
5 Kandolf, Peter
5 Natarajan, Sundararajan
5 Ostermann, Alexander
5 Santin, Gabriele
5 Särkkä, Simo
5 Siar, Najoua
5 Tambue, Antoine
5 Wall, Wolfgang A.
4 Antonietti, Paola Francesca
4 Carnicer, Jésus Miguel
4 Dassi, Franco
4 Einkemmer, Lukas
4 Harris, Lawrence A.
4 Ibrahimoglu, Bayram Ali
4 Laurent, Monique
4 Lord, Gabriel James
4 Novati, Paolo
4 Rapetti, Francesca
4 Sukumar, Natarajan
4 Vacca, Giuseppe
4 Wu, Hao-Ning
3 Baran, Mirosław
3 Boscheri, Walter
3 de Klerk, Etienne
3 de Miranda, Stefano
3 Francomano, Elisa
3 Glaubitz, Jan
3 Kolomoitsev, Yurii S.
3 Lancellotti, Sandro
3 Lomako, Tetiana
3 Mazzieri, Ilario
3 Oates, Chris J.
3 Occorsio, Donatella
3 Patruno, Luca
3 Phung Van Manh
3 Rainer, Stefan
3 Reeger, Jonah A.
3 Rokhlin, Vladimir
3 Shapiro, Vadim
3 Shin, Yeonjong
3 Sudhakar, Y.
3 Tanaka, Ken’ichiro
3 Themistoclakis, Woula
3 Thiagarajan, Vaidyanathan
3 Visinoni, Michele
3 Warburton, Timothy
3 Zanovello, Renato
3 Žitňan, Peter
2 Bertaglia, Giulia
2 Bordas, Stéphane Pierre Alain
2 Borio, Andrea
2 Bruno, Ludovico Bruni
2 Cao, Lihua
2 Carstensen, Carsten
2 Cassini, Fabio
2 Chalmers, Noel
2 Chan, Jesse
2 Chen, Shaozhu
2 Chi, Heng
2 Chin, Eric B.
2 Chiozzi, Andrea
2 Cools, Ronald
2 Crouseilles, Nicolas
2 Da Fies, Gaspare
2 Dagnino, Catterina
2 Davydov, Oleg V.
2 Dencker, Peter
2 Desiderio, Luca
2 Dessole, Monica
2 Dong, Zhaonan
2 Eggink, Raimondo
2 Falletta, Silvia
...and 578 more Authors
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Cited in 119 Serials

37 Journal of Computational and Applied Mathematics
32 Numerical Algorithms
27 Computer Methods in Applied Mechanics and Engineering
24 SIAM Journal on Scientific Computing
24 Dolomites Research Notes on Approximation
23 Journal of Computational Physics
23 Journal of Approximation Theory
22 Applied Mathematics and Computation
21 Computers & Mathematics with Applications
19 BIT
18 Applied Numerical Mathematics
15 Journal of Mathematical Analysis and Applications
11 International Journal for Numerical Methods in Engineering
8 Applied Mathematics Letters
8 Journal of Scientific Computing
7 Mathematics of Computation
7 Calcolo
7 Numerical Functional Analysis and Optimization
6 Mathematics and Computers in Simulation
6 Numerische Mathematik
5 Engineering Analysis with Boundary Elements
4 Proceedings of the American Mathematical Society
4 SIAM Journal on Numerical Analysis
4 Constructive Approximation
4 Linear Algebra and its Applications
4 Optimization Letters
4 Statistics and Computing
3 Annales Polonici Mathematici
3 Journal of Complexity
3 Computational Mechanics
3 International Journal of Computer Mathematics
3 Applied and Computational Harmonic Analysis
3 Numerical Linear Algebra with Applications
3 Mediterranean Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Applicable Analysis
2 Computer Physics Communications
2 Computing
2 Mathematica Slovaca
2 Acta Mathematica Hungarica
2 Mathematical and Computer Modelling
2 Journal of Integral Equations and Applications
2 Japan Journal of Industrial and Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 SIAM Review
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Advances in Computational Mathematics
2 Vietnam Journal of Mathematics
2 Computational Geosciences
2 Lobachevskii Journal of Mathematics
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Computational Methods and Function Theory
2 Advances in Difference Equations
2 GAMM-Mitteilungen
2 Communications in Computational Physics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Acta Mechanica
1 International Journal for Numerical Methods in Fluids
1 Physics Reports
1 ACM Transactions on Mathematical Software
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Czechoslovak Mathematical Journal
1 Journal of Algebra
1 Mathematics of Operations Research
1 Results in Mathematics
1 Semigroup Forum
1 Studies in Applied Mathematics
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Computer Aided Geometric Design
1 Physica D
1 Statistical Science
1 Algorithmica
1 International Journal of Approximate Reasoning
1 SIAM Journal on Matrix Analysis and Applications
1 Economics Letters
1 International Journal of Adaptive Control and Signal Processing
1 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 Potential Analysis
1 Computational Optimization and Applications
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Fractional Calculus & Applied Analysis
1 European Journal of Mechanics. A. Solids
1 Analysis (München)
1 Brazilian Journal of Probability and Statistics
1 Nonlinear Analysis. Real World Applications
1 Computational Methods in Applied Mathematics
...and 19 more Serials
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Cited in 44 Fields

392 Numerical analysis (65-XX)
188 Approximations and expansions (41-XX)
52 Partial differential equations (35-XX)
37 Mechanics of deformable solids (74-XX)
30 Ordinary differential equations (34-XX)
24 Fluid mechanics (76-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
21 Statistics (62-XX)
20 Operations research, mathematical programming (90-XX)
19 Special functions (33-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 Computer science (68-XX)
12 Difference and functional equations (39-XX)
12 Operator theory (47-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Integral equations (45-XX)
10 Probability theory and stochastic processes (60-XX)
8 Real functions (26-XX)
8 Functions of a complex variable (30-XX)
8 Functional analysis (46-XX)
7 Biology and other natural sciences (92-XX)
6 Potential theory (31-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Systems theory; control (93-XX)
6 Information and communication theory, circuits (94-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Geophysics (86-XX)
4 Convex and discrete geometry (52-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Astronomy and astrophysics (85-XX)

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