Edit Profile (opens in new tab) Vianello, Marco Co-Author Distance Author ID: 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 Co-Authors 9 single-authored 70 Sommariva, Alvise 27 Spigler, Renato 26 De Marchi, Stefano 17 Bos, Len P. 16 Caliari, Marco 10 Piazzon, Federico 9 Zanovello, Renato 7 Bergamaschi, Luca 7 Dell’Accio, Francesco 5 Da Fies, Gaspare 5 Elefante, Giacomo 4 Cavoretto, Roberto 4 De Rossi, Alessandra 3 Di Tommaso, Filomena 3 Martínez, Ángeles 3 Redivo-Zaglia, Michela 3 Siar, Najoua 3 Xu, Yuan 2 Artioli, Edoardo 2 Białas-Cież, Leokadia 2 Brezinski, Claude 2 Dassiè, Silvia 2 Iske, Armin 2 Kenne, Dimitri Jordan 2 Seatzu, Sebastiano 2 Soldà, Tania 1 Bauman, B. 1 Briani, Matteo 1 Calvi, Jean-Paul 1 Carnicer, Jésus Miguel 1 Carnier, Jesus M. 1 Dessole, Monica 1 Facchinello, E. 1 Leopardi, Paul Charles 1 Levenberg, Norman jun. 1 Locatelli, Francesca 1 Marcuzzi, Fabio 1 Mardegan, Alberto 1 Mohammadi, Maryam 1 Montagna, Roberto 1 Punzi, Alessandro 1 Rapetti, Francesca 1 Santin, Gabriele 1 Sudhakar, Y. 1 Venturino, Ezio 1 Wall, Wolfgang A. 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 all top 5 Fields 107 Numerical analysis (65-XX) 67 Approximations and expansions (41-XX) 22 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 11 Difference and functional equations (39-XX) 11 Integral equations (45-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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