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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 · Google Scholar
all top 5

Serials

13 Journal of Computational and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
8 Applied Mathematics and Computation
7 Numerical Algorithms
6 Numerical Functional Analysis and Optimization
4 BIT
4 Journal of Approximation Theory
4 Applied Mathematics Letters
4 Mathematical Inequalities & Applications
4 Optimization Letters
3 Computers & Mathematics with Applications
3 Mathematics of Computation
3 Numerische Mathematik
3 ETNA. Electronic Transactions on Numerical Analysis
3 Dolomites Research Notes on Approximation
2 Applicable Analysis
2 Computing
2 Mathematics and Computers in Simulation
2 Proceedings of the American Mathematical Society
2 Applied Numerical Mathematics
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 Calcolo
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 Journal of Inequalities and Applications
1 Sampling Theory in Signal and Image Processing
1 Mediterranean Journal of Mathematics
1 Applicable Analysis and Discrete Mathematics

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 1,028 times in 427 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
58
2006
Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005
Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M.
52
2010
Product Gauss cubature over polygons based on Green’s integration formula. Zbl 1122.65027
Sommariva, A.; Vianello, M.
50
2007
Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
48
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.
36
2011
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Zbl 1186.65028
Sommariva, Alvise; Vianello, Marco
34
2009
Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
29
2007
Gauss-Green cubature and moment computation over arbitrary geometries. Zbl 1170.65017
Sommariva, Alvise; Vianello, Marco
28
2009
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
25
2004
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Zbl 0983.65058
Bergamaschi, L.; Vianello, M.
21
2000
Computing Fekete and Lebesgue points: Simplex, square, disk. Zbl 1242.41002
Briani, Matteo; Sommariva, Alvise; Vianello, Marco
21
2012
Carathéodory-Tchakaloff subsampling. Zbl 1370.94399
Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
19
2017
Compression of multivariate discrete measures and applications. Zbl 1327.41006
Sommariva, Alvise; Vianello, Marco
19
2015
On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco
18
2006
Trigonometric Gaussian quadrature on subintervals of the period. Zbl 1287.65018
Da Fies, Gaspare; Vianello, Marco
18
2012
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
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
16
2003
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
16
2011
Numerical cubature on scattered data by radial basis functions. Zbl 1091.65026
Sommariva, A.; Vianello, M.
14
2006
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
14
2009
Algebraic cubature by linear blending of elliptical arcs. Zbl 1285.65014
Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco
13
2013
New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031
De Marchi, Stefano; Vianello, Marco; Xu, Yuan
13
2009
Low cardinality admissible meshes on quadrangles, triangles and disks. Zbl 1238.41005
Bos, Len; Vianello, Marco
12
2012
Comparing Leja and Krylov approximations of large scale matrix exponentials. Zbl 1157.65366
Bergamaschi, L.; Caliari, M.; Martínez, A.; Vianello, M.
12
2006
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
11
2004
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
Small perturbations of polynomial meshes. Zbl 1275.41012
Piazzon, F.; Vianello, M.
11
2013
Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028
Bos, L.; De Marchi, S.; Vianello, M.
11
2017
Polynomial interpolation and cubature over polygons. Zbl 1221.65033
Gentile, M.; Sommariva, A.; Vianello, M.
11
2011
Nontensorial Clenshaw-Curtis cubature. Zbl 1167.65350
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
10
2008
Subperiodic trigonometric interpolation and quadrature. Zbl 1252.65219
Bos, Len; Vianello, Marco
10
2012
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
10
2007
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0749.39001
Spigler, Renato; Vianello, Marco
9
1992
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
9
1992
Suboptimal polynomial meshes on planar Lipschitz domains. Zbl 1300.41005
Piazzon, F.; Vianello, M.
9
2014
Meshless cubature by Green’s formula. Zbl 1105.65320
Sommariva, Alvise; Vianello, Marco
9
2006
The LEM exponential integrator for advection-diffusion-reaction equations. Zbl 1134.65063
Caliari, Marco; Vianello, Marco; Bergamaschi, Luca
9
2007
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
2008
A numerical method for evaluating zeros of solutions of second-order linear differential equations. Zbl 0676.65041
Spigler, Renato; Vianello, Marco
8
1990
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
8
2006
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. Zbl 1200.65010
Bos, Len; Sommariva, Alvise; Vianello, Marco
8
2010
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
8
2012
A survey on the Liouville-Green (WKB) approximation for linear difference equation of the second order. Zbl 0892.39018
Spigler, Renato; Vianello, Marco
7
1997
Algebraic cubature on polygonal elements with a circular edge. Zbl 1454.65159
Artioli, E.; Sommariva, A.; Vianello, M.
7
2020
Norming meshes by Bernstein-like inequalities. Zbl 1295.26017
Vianello, Marco
7
2014
Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307
Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto
7
2006
Analytic transformations of admissible meshes. Zbl 1239.30023
Piazzon, F.; Vianello, M.
7
2010
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
6
2012
On the use of compressed polyhedral quadrature formulas in embedded interface methods. Zbl 1368.65034
Sudhakar, Y.; Sommariva, Alvise; Vianello, Marco; Wall, Wolfgang A.
6
2017
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Zbl 1434.90156
Piazzon, Federico; Vianello, Marco
6
2019
A note on total degree polynomial optimization by Chebyshev grids. Zbl 1411.90278
Piazzon, Federico; Vianello, Marco
6
2018
Polynomial fitting and interpolation on circular sections. Zbl 1338.41023
Sommariva, Alvise; Vianello, Marco
6
2015
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Zbl 1524.65110
Sommariva, A.; Vianello, M.
5
2021
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
Meshless cubature over the disk using thin-plate splines. Zbl 1152.65040
Punzi, Alessandro; Sommariva, Alvise; Vianello, Marco
5
2008
Polynomial approximation and quadrature on geographic rectangles. Zbl 1411.65039
Gentile, M.; Sommariva, A.; Vianello, M.
5
2017
Product Gaussian quadrature on circular lunes. Zbl 1324.65035
Da Fies, Gaspare; Vianello, Marco
5
2014
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 1487.65028
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
5
2022
Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021
De Marchi, Stefano; Vianello, Marco
4
1996
WKB-type approximations for second-order differential equations in \(C^*\)-algebras. Zbl 0852.34059
Spigler, Renato; Vianello, Marco
4
1996
Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Zbl 0881.33008
Spigler, Renato; Vianello, Marco
4
1996
Convergence analysis of the semi-implicit Euler method for abstract evolution equations. Zbl 0827.65061
Spigler, Renato; Vianello, Marco
4
1995
Approximating fixed-points of decreasing operators in spaces of continuous functions. Zbl 0907.45006
Sommariva, Alvise; Vianello, Marco
4
1998
Adaptive bivariate Chebyshev approximation. Zbl 1065.41016
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
4
2005
Numerical hyperinterpolation over spherical triangles. Zbl 07431500
Sommariva, A.; Vianello, M.
4
2021
Jacobi norming meshes. Zbl 1351.26031
Piazzon, Federico; Vianello, Marco
4
2016
On the Lebesgue constant of subperiodic trigonometric interpolation. Zbl 1266.42005
Da Fies, Gaspare; Vianello, Marco
4
2013
Quadrature-based polynomial optimization. Zbl 1445.90076
Martinez, Angeles; Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
4
2020
Compressed algebraic cubature over polygons with applications to optical design. Zbl 1493.65055
Bauman, B.; Sommariva, A.; Vianello, M.
4
2020
Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003
Bos, L.; De Marchi, S.; Vianello, M.
4
2017
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Zbl 1414.90332
Vianello, Marco
4
2018
On some connections between well-posedness and general properties of numerical methods. Zbl 0834.65040
Vianello, M.; Zanovello, R.
3
1995
Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145
De Marchi, Stefano; Vianello, Marco
3
2001
Liouville-Green-Olver approximations for complex difference equations. Zbl 0918.39002
Spigler, Renato; Vianello, Marco; Locatelli, Francesca
3
1999
Constructive analysis of purely integral Boltzmann models. Zbl 0974.45005
Sommariva, Alvise; Vianello, Marco
3
1999
Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations. Zbl 0979.65047
Sommariva, Alvise; Vianello, Marco
3
2000
Liouville-Green asymptotic for almost-diagonal second-order matrix differential equations. Zbl 1126.34008
Spigler, Renato; Vianello, Marco
3
2006
Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133
De Marchi, Stefano; Vianello, Marco
3
2003
Compressed sampling inequalities by Tchakaloff’s theorem. Zbl 1334.41012
Vianello, Marco
3
2016
Numerical hyperinterpolation over nonstandard planar regions. Zbl 07313867
Sommariva, Alvise; Vianello, Marco
3
2017
Approximate Fekete points for weighted polynomial interpolation. Zbl 1192.41002
Sommariva, A.; Vianello, M.
3
2010
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
Asymptotic approximations for second-order linear difference equations in Banach algebras. I. Zbl 1138.39015
Soldà, Tania; Spigler, Renato; Vianello, Marco
3
2008
Tchakaloff polynomial meshes. Zbl 1431.41004
Bos, Len; Vianello, Marco
3
2019
Nearly optimal nested sensors location for polynomial regression on complex geometries. Zbl 1421.94025
Sommariva, Alvise; Vianello, Marco
3
2018
An algebraic cubature formula on curvilinear polygons. Zbl 1233.65026
Santin, G.; Sommariva, A.; Vianello, M.
3
2011
Constructive approximation for a class of perturbed Hammerstein integral equations. Zbl 0956.45006
Sommariva, Alvise; Vianello, Marco
2
2000
On regularity at \(t=0\) for semilinear ADEs and its numerical applications. Zbl 0822.47044
Vianello, Marco
2
1995
Chebyshev-like compression of linear and nonlinear discretized integral operators. Zbl 0986.65141
Vianello, Marco
2
2000
Adaptive bivariate Chebyshev approximation and efficient evaluation if integral operators. Zbl 1060.65689
Mardegan, Alberto; Sommariva, Alvise; Vianello, Marco; Zanovello; Renato
2
2004
Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data. Zbl 0743.34043
Spigler, Renato; Vianello, Marco
2
1991
RBF moment computation and meshless cubature on general polygonal regions. Zbl 1510.65032
Sommariva, A.; Vianello, M.
2
2021
On the superlinear convergence of the secant method. Zbl 0773.65036
Vianello, Marco; Zanovello, Renato
2
1992
Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
2
2022
Improved estimates for the derivatives of the \(O\)-symbols in view of numerical applications. Zbl 0770.41025
Spigler, Renato; Vianello, Marco
2
1992
A generalization of l’Hôpital’s rule via absolute continuity and Banach modules. Zbl 0808.26009
Vianello, Marco
2
1993
A new summation method for power series with rational coefficients. Zbl 0941.65002
Dassiè, Silvia; Vianello, Marco; Zanovello, Renato
1
2000
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 1487.65028
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
5
2022
Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco
2
2022
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Zbl 1524.65110
Sommariva, A.; Vianello, M.
5
2021
Numerical hyperinterpolation over spherical triangles. Zbl 07431500
Sommariva, A.; Vianello, M.
4
2021
RBF moment computation and meshless cubature on general polygonal regions. Zbl 1510.65032
Sommariva, A.; Vianello, M.
2
2021
Algebraic cubature on polygonal elements with a circular edge. Zbl 1454.65159
Artioli, E.; Sommariva, A.; Vianello, M.
7
2020
Quadrature-based polynomial optimization. Zbl 1445.90076
Martinez, Angeles; Piazzon, Federico; Sommariva, Alvise; Vianello, Marco
4
2020
Compressed algebraic cubature over polygons with applications to optical design. Zbl 1493.65055
Bauman, B.; Sommariva, A.; Vianello, M.
4
2020
Near G-optimal Tchakaloff designs. Zbl 1482.62004
Bos, Len; Piazzon, Federico; Vianello, Marco
1
2020
Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies. Zbl 1434.90156
Piazzon, Federico; Vianello, Marco
6
2019
Tchakaloff polynomial meshes. Zbl 1431.41004
Bos, Len; Vianello, Marco
3
2019
A note on total degree polynomial optimization by Chebyshev grids. Zbl 1411.90278
Piazzon, Federico; Vianello, Marco
6
2018
Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization. Zbl 1414.90332
Vianello, Marco
4
2018
Nearly optimal nested sensors location for polynomial regression on complex geometries. Zbl 1421.94025
Sommariva, Alvise; Vianello, Marco
3
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
19
2017
Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028
Bos, L.; De Marchi, S.; Vianello, M.
11
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.
6
2017
Polynomial approximation and quadrature on geographic rectangles. Zbl 1411.65039
Gentile, M.; Sommariva, A.; Vianello, M.
5
2017
Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003
Bos, L.; De Marchi, S.; Vianello, M.
4
2017
Numerical hyperinterpolation over nonstandard planar regions. Zbl 07313867
Sommariva, Alvise; Vianello, Marco
3
2017
Numerical quadrature on the intersection of planar disks. Zbl 1499.65095
Sommariva, Alvise; Vianello, Marco
1
2017
Jacobi norming meshes. Zbl 1351.26031
Piazzon, Federico; Vianello, Marco
4
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
19
2015
Polynomial fitting and interpolation on circular sections. Zbl 1338.41023
Sommariva, Alvise; Vianello, Marco
6
2015
Suboptimal polynomial meshes on planar Lipschitz domains. Zbl 1300.41005
Piazzon, F.; Vianello, M.
9
2014
Norming meshes by Bernstein-like inequalities. Zbl 1295.26017
Vianello, Marco
7
2014
Product Gaussian quadrature on circular lunes. Zbl 1324.65035
Da Fies, Gaspare; Vianello, Marco
5
2014
Algebraic cubature by linear blending of elliptical arcs. Zbl 1285.65014
Da Fies, Gaspare; Sommariva, Alvise; Vianello, Marco
13
2013
Small perturbations of polynomial meshes. Zbl 1275.41012
Piazzon, F.; Vianello, M.
11
2013
On the Lebesgue constant of subperiodic trigonometric interpolation. Zbl 1266.42005
Da Fies, Gaspare; Vianello, Marco
4
2013
Computing Fekete and Lebesgue points: Simplex, square, disk. Zbl 1242.41002
Briani, Matteo; Sommariva, Alvise; Vianello, Marco
21
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
12
2012
Subperiodic trigonometric interpolation and quadrature. Zbl 1252.65219
Bos, Len; Vianello, Marco
10
2012
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
8
2012
On the generation of symmetric Lebesgue-like points in the triangle. Zbl 1252.65193
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco
6
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.
36
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
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
16
2011
Polynomial interpolation and cubature over polygons. Zbl 1221.65033
Gentile, M.; Sommariva, A.; Vianello, M.
11
2011
An algebraic cubature formula on curvilinear polygons. Zbl 1233.65026
Santin, G.; Sommariva, A.; Vianello, M.
3
2011
Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005
Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M.
52
2010
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle. Zbl 1200.65010
Bos, Len; Sommariva, Alvise; Vianello, Marco
8
2010
Analytic transformations of admissible meshes. Zbl 1239.30023
Piazzon, F.; Vianello, M.
7
2010
Approximate Fekete points for weighted polynomial interpolation. Zbl 1192.41002
Sommariva, A.; Vianello, M.
3
2010
Computing approximate Fekete points by QR factorizations of Vandermonde matrices. Zbl 1186.65028
Sommariva, Alvise; Vianello, Marco
34
2009
Gauss-Green cubature and moment computation over arbitrary geometries. Zbl 1170.65017
Sommariva, Alvise; Vianello, Marco
28
2009
A massively parallel exponential integrator for advection-diffusion models. Zbl 1167.65443
Martínez, A.; Bergamaschi, L.; Caliari, M.; Vianello, M.
14
2009
New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031
De Marchi, Stefano; Vianello, Marco; Xu, Yuan
13
2009
Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018
Caliari, Marco; de Marchi, Stefano; Vianello, Marco
18
2008
Nontensorial Clenshaw-Curtis cubature. Zbl 1167.65350
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
10
2008
Hyperinterpolation in the cube. Zbl 1142.65312
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
9
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.
50
2007
Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
29
2007
Hyperinterpolation on the square. Zbl 1151.65014
Caliari, Marco; De Marchi, Stefano; Vianello, Marco
10
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
58
2006
On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002
Bos, Len; De Marchi, Stefano; Vianello, Marco
18
2006
Numerical cubature on scattered data by radial basis functions. Zbl 1091.65026
Sommariva, A.; Vianello, M.
14
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
Meshless cubature by Green’s formula. Zbl 1105.65320
Sommariva, Alvise; Vianello, Marco
9
2006
Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco
8
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
48
2005
Adaptive bivariate Chebyshev approximation. Zbl 1065.41016
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato
4
2005
Interpolating discrete advection–diffusion propagators at Leja sequences. Zbl 1055.65105
Caliari, M.; Vianello, M.; Bergamaschi, L.
25
2004
The ReLPM exponential integrator for FE discretizations of advection-diffusion equations. Zbl 1107.65081
Bergamaschi, Luca; Caliari, Marco; Vianello, Marco
11
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
16
2003
Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133
De Marchi, Stefano; Vianello, Marco
3
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.
21
2000
Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations. Zbl 0979.65047
Sommariva, Alvise; Vianello, Marco
3
2000
Constructive approximation for a class of perturbed Hammerstein integral equations. Zbl 0956.45006
Sommariva, Alvise; Vianello, Marco
2
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
1
2000
Existence of positive continuous solutions of perturbed Hammerstein equations. Zbl 1021.45008
Vianello, Marco
1
2000
A variant of the complex Liouville-Green approximation theorem. Zbl 1058.34128
Spigler, Renato; Vianello, Marco
1
2000
Liouville-Green-Olver approximations for complex difference equations. Zbl 0918.39002
Spigler, Renato; Vianello, Marco; Locatelli, Francesca
3
1999
Constructive analysis of purely integral Boltzmann models. Zbl 0974.45005
Sommariva, Alvise; Vianello, Marco
3
1999
Approximating fixed-points of decreasing operators in spaces of continuous functions. Zbl 0907.45006
Sommariva, Alvise; Vianello, Marco
4
1998
Asymptotic summation of power series. Zbl 0922.65004
Dassiè, Silvia; Vianello, Marco; Zanovello, Renato
1
1998
A survey on the Liouville-Green (WKB) approximation for linear difference equation of the second order. Zbl 0892.39018
Spigler, Renato; Vianello, Marco
7
1997
Peano’s kernel theorem for vector-valued functions: A weak version in normed spaces. Zbl 0874.41014
De Marchi, Stefano; Vianello, Marco
1
1997
Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021
De Marchi, Stefano; Vianello, Marco
4
1996
WKB-type approximations for second-order differential equations in \(C^*\)-algebras. Zbl 0852.34059
Spigler, Renato; Vianello, Marco
4
1996
Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Zbl 0881.33008
Spigler, Renato; Vianello, Marco
4
1996
Convergence analysis of the semi-implicit Euler method for abstract evolution equations. Zbl 0827.65061
Spigler, Renato; Vianello, Marco
4
1995
On some connections between well-posedness and general properties of numerical methods. Zbl 0834.65040
Vianello, M.; Zanovello, R.
3
1995
On regularity at \(t=0\) for semilinear ADEs and its numerical applications. Zbl 0822.47044
Vianello, Marco
2
1995
Discrete and continuous Liouville-Green-Olver approximations: A unified treatment via Volterra-Stieltjes integral equations. Zbl 0791.39006
Spigler, Renato; Vianello, Marco
5
1994
Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems. Zbl 0815.65079
De Marchi, S.; Vianello, M.; Zanovello, R.
1
1994
...and 13 more Documents
all top 5

Cited by 570 Authors

70 Vianello, Marco
40 Sommariva, Alvise
29 De Marchi, Stefano
16 Caliari, Marco
12 Spigler, Renato
9 Bos, Len P.
9 Piazzon, Federico
7 Artioli, Edoardo
7 Beirão da Veiga, Lourenço
7 Bremer, James C.
7 Narayan, Akil C.
6 Bergamaschi, Luca
6 Białas-Cież, Leokadia
6 Dell’Accio, Francesco
6 Erb, Wolfgang
6 Karvonen, Toni
5 Calvi, Jean-Paul
5 Cavoretto, Roberto
5 Kandolf, Peter
5 Kroó, András
5 Lovadina, Carlo
5 Marchetti, Francesco
5 Martínez, Ángeles
5 Perracchione, Emma
5 Särkkä, Simo
5 Tambue, Antoine
5 Xu, Yuan
4 Antonietti, Paola Francesca
4 Carnicer, Jésus Miguel
4 De Rossi, Alessandra
4 Di Tommaso, Filomena
4 Harris, Lawrence A.
4 Laurent, Monique
4 Lord, Gabriel James
4 Natarajan, Sundararajan
4 Novati, Paolo
4 Ostermann, Alexander
4 Rapetti, Francesca
4 Santin, Gabriele
4 Vacca, Giuseppe
4 Wall, Wolfgang A.
3 An, Congpei
3 de Klerk, Etienne
3 de Miranda, Stefano
3 Einkemmer, Lukas
3 Glaubitz, Jan
3 Ibrahimoglu, Bayram Ali
3 Kolomoitsev, Yurii S.
3 Lomako, Tetiana
3 Mazzieri, Ilario
3 Oates, Chris J.
3 Occorsio, Donatella
3 Patruno, Luca
3 Phung Van Manh
3 Rainer, Stefan
3 Rokhlin, Vladimir
3 Shapiro, Vadim
3 Siar, Najoua
3 Sudhakar, Y.
3 Sukumar, Natarajan
3 Tanaka, Ken’ichiro
3 Thiagarajan, Vaidyanathan
3 Warburton, Timothy
3 Wu, Hao-Ning
3 Zanovello, Renato
3 Žitňan, Peter
2 Bordas, Stéphane Pierre Alain
2 Cao, Lihua
2 Carstensen, Carsten
2 Chalmers, Noel
2 Chen, Shaozhu
2 Chi, Heng
2 Chiozzi, Andrea
2 Cools, Ronald
2 Da Fies, Gaspare
2 Dagnino, Catterina
2 Dassi, Franco
2 Davydov, Oleg V.
2 Dencker, Peter
2 Desiderio, Luca
2 Dong, Zhaonan
2 Eggink, Raimondo
2 Elefante, Giacomo
2 Falletta, Silvia
2 Ferrari, Matteo
2 Gao, Jing
2 Geiger, Sebastian
2 Georgoulis, Emmanuil H.
2 Godés, Carmen
2 Grimm, Volker
2 Gunzburger, Max D.
2 Guo, Ling
2 Güttel, Stefan
2 Haber, Aleksandar
2 Hayakawa, Satoshi
2 Heitman, Zhu
2 Hochbruck, Marlis
2 Houston, Paul
2 Jakeman, John Davis
2 Jiang, Yaolin
...and 470 more Authors
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Cited in 111 Serials

33 Journal of Computational and Applied Mathematics
30 Numerical Algorithms
22 Computer Methods in Applied Mechanics and Engineering
22 Applied Mathematics and Computation
21 Journal of Approximation Theory
20 Journal of Computational Physics
19 SIAM Journal on Scientific Computing
16 Computers & Mathematics with Applications
16 BIT
14 Journal of Mathematical Analysis and Applications
13 Applied Numerical Mathematics
7 Mathematics of Computation
7 Numerical Functional Analysis and Optimization
7 Journal of Scientific Computing
6 Applied Mathematics Letters
5 Mathematics and Computers in Simulation
5 Numerische Mathematik
4 Calcolo
4 International Journal for Numerical Methods in Engineering
4 Proceedings of the American Mathematical Society
4 SIAM Journal on Numerical Analysis
4 Linear Algebra and its Applications
4 Engineering Analysis with Boundary Elements
4 Optimization Letters
4 Statistics and Computing
3 Annales Polonici Mathematici
3 Journal of Complexity
3 Constructive Approximation
3 Computational Mechanics
3 International Journal of Computer Mathematics
3 Applied and Computational Harmonic Analysis
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 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 Numerical Linear Algebra with Applications
2 Advances in Computational Mathematics
2 Journal of Applied Mathematics
2 Computational Methods and Function Theory
2 Advances in Difference Equations
2 GAMM-Mitteilungen
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 Mathematica Slovaca
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 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Optimization
1 Potential Analysis
1 Computational Optimization and Applications
1 Filomat
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
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 Computational Geosciences
1 Lobachevskii Journal of Mathematics
1 Brazilian Journal of Probability and Statistics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Sampling Theory in Signal and Image Processing
1 International Journal of Computational Methods
1 Communications in Computational Physics
1 Applicable Analysis and Discrete Mathematics
...and 11 more Serials
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Cited in 43 Fields

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