Edit Profile (opens in new tab) De Marchi, Stefano Co-Author Distance Author ID: de-marchi.stefano Published as: De Marchi, Stefano; De Marchi, S.; de Marchi, Stefano; Marchi, Stefano; de Marchi, S.; Marchi, S. De more...less Homepage: http://www.math.unipd.it/~demarchi/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 108 Publications since 1993, including 8 Additional arXiv Preprints 5 Contributions as Editor Software Indexed: 7 Packages Reviewing Activity: 2 Reviews Biographic References: 1 Publication Co-Authors: 81 Co-Authors with 102 Joint Publications 1,528 Co-Co-Authors all top 5 Co-Authors 11 single-authored 26 Vianello, Marco 20 Bos, Len P. 15 Perracchione, Emma 13 Marchetti, Francesco 10 Caliari, Marco 8 Elefante, Giacomo 8 Santin, Gabriele 6 Morandi Cecchi, Maria 6 Poggiali, Davide 6 Sommariva, Alvise 4 Iske, Armin 4 Mohammadi, Maryam Beyg 3 Campagna, Rosanna 3 Cavoretto, Roberto 3 De Rossi, Alessandra 3 Erb, Wolfgang 3 Hormann, Kai 3 Redivo-Zaglia, Michela 3 Xu, Yuan 2 Acu, Ana Maria 2 Brezinski, Claude 2 Buhmann, Martin Dietrich 2 Cecchin, Diego 2 Dell’Accio, Francesco 2 Esfahani, Mohammad Karimnejad 2 Francomano, Elisa 2 Levenberg, Norman jun. 2 Martínez, Ángeles 2 Rașa, Ioan 2 Rossini, Milvia 2 Schaback, Robert 2 Seatzu, Sebastiano 2 Wendland, Holger 1 Angeloni, Laura 1 Angrilli, Francesco 1 Bandiziol, Cinzia 1 Beberok, Tomasz 1 Berrut, Jean-Paul 1 Białas-Cież, Leokadia 1 Bittante, Claudia 1 Campi, Cristina 1 Cappellazzo, Giacomo 1 Carnicer, Jésus Miguel 1 Carnier, Jesus M. 1 Conti, Costanza 1 Cuomo, Salvatore 1 de Camargo, André Pierro 1 Dehghan Takht Fooladi, Mehdi 1 Egidi, Nadaniela 1 Fasoli, Diego 1 Giacomini, Josephin 1 Idda, Andrea 1 Karimnejad, Esfahani Mohammad 1 Klein, Georges 1 Klimek, Maciej 1 Kowalska, Agnieszka 1 Kroó, András 1 Ligun, A. A. 1 Lot, Federico 1 Maponi, Pierluigi 1 Marchioro, Martina 1 Mariethoz, Jean-Zacharie 1 Massone, Anna Maria 1 Mohammadi, Vahid 1 Montagna, Roberto 1 Neisy, Abdolsadeh 1 Nudo, Federico 1 Perticarini, Alessia 1 Piana, Michele 1 Raykov, Ivan Lyubenov 1 Roveredo, Consuelo 1 Severino, Gerardo 1 Shumeiko, A. A. 1 Sidon, Jean 1 Sironi, Amos 1 Timchenko, S. V. 1 Usevich, Konstantin 1 Venturino, Ezio 1 Vinti, Gianluca 1 Volpara, Anna 1 Zanovello, Renato all top 5 Serials 14 Dolomites Research Notes on Approximation 11 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 5 Journal of Approximation Theory 5 Numerical Algorithms 4 Applied Numerical Mathematics 3 IMA Journal of Numerical Analysis 3 BIT 3 Applied Mathematics Letters 3 Advances in Computational Mathematics 3 East Journal on Approximations 2 Journal of Mathematical Analysis and Applications 2 Calcolo 2 Computing 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Numerical Mathematics: Theory, Methods and Applications 2 Constructive Mathematical Analysis 1 Computers & Mathematics with Applications 1 Journal of Optimization Theory and Applications 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Rendiconti del Seminario Matematico 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Irish Mathematical Society Bulletin 1 SIAM Journal on Scientific Computing 1 Neural, Parallel & Scientific Computations 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Mathematical Modelling and Analysis 1 International Mathematical Journal 1 International Journal of Contemporary Mathematical Sciences 1 Communications in Applied and Industrial Mathematics 1 Journal of Mathematical Modeling all top 5 Fields 71 Numerical analysis (65-XX) 67 Approximations and expansions (41-XX) 6 General and overarching topics; collections (00-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 965 times in 489 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 66 2006 Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005 Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M. 66 2010 Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001 Caliari, Marco; De Marchi, Stefano; Vianello, Marco 54 2005 Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008 Marchi, Stefano; Schaback, Robert; Wendland, Holger 48 2005 On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003 Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges 42 2012 Stability of kernel-based interpolation. Zbl 1188.41001 De Marchi, Stefano; Schaback, Robert 42 2010 A new stable basis for radial basis function interpolation. Zbl 1288.65013 De Marchi, Stefano; Santin, Gabriele 34 2013 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 On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003 Bos, Len; De Marchi, Stefano; Hormann, Kai 27 2011 Partition of unity interpolation using stable kernel-based techniques. Zbl 1372.65030 Cavoretto, R.; De Marchi, S.; De Rossi, A.; Perracchione, E.; Santin, G. 26 2017 Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. Zbl 1444.65006 De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. 23 2020 Fast and stable rational RBF-based partition of unity interpolation. Zbl 1524.65075 De Marchi, S.; Martínez, A.; Perracchione, E. 23 2019 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 20 2008 Polynomial interpolation via mapped bases without resampling. Zbl 1439.65010 De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 19 2020 On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002 Bos, Len; De Marchi, Stefano; Vianello, Marco 19 2006 Multivariate approximation at fake nodes. Zbl 1474.65022 De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 19 2021 Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368 De Marchi, S.; Marchetti, F.; Perracchione, E. 18 2020 Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028 Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco 18 2011 Fast computation of orthonormal basis for RBF spaces through Krylov space methods. Zbl 1333.41001 De Marchi, Stefano; Santin, Gabriele 17 2015 Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001 Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean 16 2013 On the constrained mock-Chebyshev least-squares. Zbl 1304.41012 De Marchi, S.; Dell’Accio, F.; Mazza, M. 15 2015 Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI. Zbl 1370.41004 De Marchi, S.; Erb, W.; Marchetti, F. 15 2017 On optimal center locations for radial basis function interpolation: computational aspects. Zbl 1121.41003 De Marchi, S. 15 2003 New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031 De Marchi, Stefano; Vianello, Marco; Xu, Yuan 15 2009 Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. Zbl 1457.92042 Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano 15 2021 On Leja sequences: some results and applications. Zbl 1077.41001 De Marchi, Stefano 14 2004 Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028 Bos, L.; De Marchi, S.; Vianello, M. 13 2017 Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. Zbl 1440.41004 Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. 12 2020 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026 De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 12 2019 Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients. Zbl 0992.65044 De Marchi, S. 11 2001 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 Hyperinterpolation on the square. Zbl 1151.65014 Caliari, Marco; De Marchi, Stefano; Vianello, Marco 11 2007 Hyperinterpolation in the cube. Zbl 1142.65312 Caliari, Marco; De Marchi, Stefano; Vianello, Marco 10 2008 Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304 Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco 9 2006 Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder. Zbl 1250.65017 De Marchi, Stefano; Marchioro, Martina; Sommariva, Alvise 9 2012 A rescaled method for RBF approximation. Zbl 1385.65017 De Marchi, Stefano; Idda, Andrea; Santin, Gabriele 9 2017 A stable meshfree PDE solver for source-type flows in porous media. Zbl 1440.65242 Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G. 8 2020 Analysis of a new class of rational RBF expansions. Zbl 1465.65014 Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma 8 2020 Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307 Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto 7 2006 Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021 De Marchi, Stefano; Vianello, Marco 6 1996 A new quasi-Monte Carlo technique based on nonnegative least squares and approximate Fekete points. Zbl 1399.65003 Bittante, Claudia; De Marchi, Stefano; Elefante, Giacomo 5 2016 Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points. Zbl 1382.65009 De Marchi, Stefano; Elefante, Giacomo 5 2018 Marcinkiewicz-Zygmund type results in multivariate domains. Zbl 1413.41040 Marchi, S. De; Kroó, A. 5 2018 Quadrature at fake nodes. Zbl 1540.65091 De Marchi, Stefano; Elefante, Giacomo; Perracchione, Emma; Poggiali, Davide 5 2021 Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003 Bos, L.; De Marchi, S.; Vianello, M. 4 2017 Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133 De Marchi, Stefano; Vianello, Marco 4 2003 A shape preserving quasi-interpolation operator based on a new transcendental RBF. Zbl 1540.65034 Heidari, Mohammad; Mohammadi, Maryam; De Marchi, Stefano 4 2021 On certain multivariate Vandermonde determinants whose variables separate. Zbl 1303.15008 De Marchi, Stefano; Usevich, Konstantin 3 2014 Fekete points for bivariate polynomials restricted to \(y=x^ m\). Zbl 1084.41500 Bos, Len; De Marchi, Stefano 3 2000 Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres. Zbl 0927.41002 Bos, L.; De Marchi, S. 3 1999 Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145 De Marchi, Stefano; Vianello, Marco 3 2001 Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena. Zbl 1507.65049 De Marchi, Stefano 3 2022 Aldaz-Kounchev-Render operators and their approximation properties. Zbl 1512.41016 Acu, Ana-Maria; De Marchi, Stefano; Raşa, Ioan 3 2023 Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method. Zbl 1499.65029 De Marchi, S.; Elefante, G.; Marchetti, F. 3 2021 A few remarks on “On certain Vandermonde determinants whose variables separate”. Zbl 1370.15004 De Camargo, André Pierro; De Marchi, Stefano 2 2015 Kernel-based image reconstruction from scattered Radon data. Zbl 1370.94031 De Marchi, Stefano; Iske, Armin; Sironi, Amos 2 2016 Peano’s kernel theorem for vector-valued functions: A weak version in normed spaces. Zbl 0874.41014 De Marchi, Stefano; Vianello, Marco 2 1997 Polynomials arising in factoring generalized Vandermonde determinants. II: A condition for monicity. Zbl 1007.65034 De Marchi, S. 2 2002 On computing the factors of generalized Vandermonde determinants. Zbl 1041.65038 de Marchi, Stefano 2 2000 Parametric method for global optimization. Zbl 1278.90444 De Marchi, S.; Raykov, I. 2 2006 Univariate radial basis functions with compact support cardinal functions. Zbl 1219.41001 Bos, Len; De Marchi, Stefano 2 2008 Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems. Zbl 0815.65079 De Marchi, S.; Vianello, M.; Zanovello, R. 2 1994 On the convergence of the rescaled localized radial basis function method. Zbl 1468.65011 De Marchi, Stefano; Wendland, Holger 2 2020 Curvature-based characterization of radial basis functions: application to interpolation. Zbl 1530.65017 Heidari, Mohammad; Mohammadi, Maryam; De Marchi, Stefano 2 2023 Full-rank orthonormal bases for conditionally positive definite kernel-based spaces. Zbl 1540.41011 Mohammadi, Maryam; De Marchi, Stefano; Esfahani, Mohammad Karimnejad 2 2024 On the Lebesgue constant of the trigonometric Floater-Hormann rational interpolant at equally spaced nodes. Zbl 1541.42001 Bandiziol, Cinzia; De Marchi, Stefano 2 2019 On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. Zbl 1482.41001 De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco 2 2021 On computing derivatives for \(C^ 1\) interpolating schemes: An optimization. Zbl 0889.65012 De Marchi, S. 1 1998 Mathematics and wine. Zbl 1193.00005 De Marchi, Stefano 1 2007 A package for representing \(C^1\) interpolating surfaces: Application to the lagoon of Venice’s bed. Zbl 0934.65011 Morandi Cecchi, M.; De Marchi, S.; Fasoli, D. 1 1999 The polynomial approximation in the finite element method. Zbl 0823.65015 De Marchi, S.; Morandi Cecchi, M. 1 1995 Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Zbl 06859127 De Marchi, S.; Iske, A.; Santin, Gabriele 1 2018 Moving least squares approximation using variably scaled discontinuous weight function. Zbl 1524.65053 Esfahani, Mohammad Karimnejad; De Marchi, Stefano; Marchetti, Francesco 1 2023 Polynomial mapped bases: theory and applications. Zbl 1512.41001 De Marchi, Stefano; Elefante, Giacomo; Francomano, Elisa; Marchetti, Francesco 1 2022 Computational issues by interpolating with inverse multiquadrics: a solution. Zbl 1540.65111 De Marchi, Stefano; Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi; Perticarini, Alessia 1 2022 Full-rank orthonormal bases for conditionally positive definite kernel-based spaces. Zbl 1540.41011 Mohammadi, Maryam; De Marchi, Stefano; Esfahani, Mohammad Karimnejad 2 2024 Aldaz-Kounchev-Render operators and their approximation properties. Zbl 1512.41016 Acu, Ana-Maria; De Marchi, Stefano; Raşa, Ioan 3 2023 Curvature-based characterization of radial basis functions: application to interpolation. Zbl 1530.65017 Heidari, Mohammad; Mohammadi, Maryam; De Marchi, Stefano 2 2023 Moving least squares approximation using variably scaled discontinuous weight function. Zbl 1524.65053 Esfahani, Mohammad Karimnejad; De Marchi, Stefano; Marchetti, Francesco 1 2023 Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena. Zbl 1507.65049 De Marchi, Stefano 3 2022 Polynomial mapped bases: theory and applications. Zbl 1512.41001 De Marchi, Stefano; Elefante, Giacomo; Francomano, Elisa; Marchetti, Francesco 1 2022 Computational issues by interpolating with inverse multiquadrics: a solution. Zbl 1540.65111 De Marchi, Stefano; Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi; Perticarini, Alessia 1 2022 Multivariate approximation at fake nodes. Zbl 1474.65022 De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 19 2021 Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. Zbl 1457.92042 Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano 15 2021 Quadrature at fake nodes. Zbl 1540.65091 De Marchi, Stefano; Elefante, Giacomo; Perracchione, Emma; Poggiali, Davide 5 2021 A shape preserving quasi-interpolation operator based on a new transcendental RBF. Zbl 1540.65034 Heidari, Mohammad; Mohammadi, Maryam; De Marchi, Stefano 4 2021 Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method. Zbl 1499.65029 De Marchi, S.; Elefante, G.; Marchetti, F. 3 2021 On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. Zbl 1482.41001 De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco 2 2021 Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. Zbl 1444.65006 De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. 23 2020 Polynomial interpolation via mapped bases without resampling. Zbl 1439.65010 De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 19 2020 Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368 De Marchi, S.; Marchetti, F.; Perracchione, E. 18 2020 Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. Zbl 1440.41004 Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. 12 2020 A stable meshfree PDE solver for source-type flows in porous media. Zbl 1440.65242 Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G. 8 2020 Analysis of a new class of rational RBF expansions. Zbl 1465.65014 Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma 8 2020 On the convergence of the rescaled localized radial basis function method. Zbl 1468.65011 De Marchi, Stefano; Wendland, Holger 2 2020 Fast and stable rational RBF-based partition of unity interpolation. Zbl 1524.65075 De Marchi, S.; Martínez, A.; Perracchione, E. 23 2019 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026 De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 12 2019 On the Lebesgue constant of the trigonometric Floater-Hormann rational interpolant at equally spaced nodes. Zbl 1541.42001 Bandiziol, Cinzia; De Marchi, Stefano 2 2019 Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points. Zbl 1382.65009 De Marchi, Stefano; Elefante, Giacomo 5 2018 Marcinkiewicz-Zygmund type results in multivariate domains. Zbl 1413.41040 Marchi, S. De; Kroó, A. 5 2018 Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Zbl 06859127 De Marchi, S.; Iske, A.; Santin, Gabriele 1 2018 Partition of unity interpolation using stable kernel-based techniques. Zbl 1372.65030 Cavoretto, R.; De Marchi, S.; De Rossi, A.; Perracchione, E.; Santin, G. 26 2017 Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI. Zbl 1370.41004 De Marchi, S.; Erb, W.; Marchetti, F. 15 2017 Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028 Bos, L.; De Marchi, S.; Vianello, M. 13 2017 A rescaled method for RBF approximation. Zbl 1385.65017 De Marchi, Stefano; Idda, Andrea; Santin, Gabriele 9 2017 Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003 Bos, L.; De Marchi, S.; Vianello, M. 4 2017 A new quasi-Monte Carlo technique based on nonnegative least squares and approximate Fekete points. Zbl 1399.65003 Bittante, Claudia; De Marchi, Stefano; Elefante, Giacomo 5 2016 Kernel-based image reconstruction from scattered Radon data. Zbl 1370.94031 De Marchi, Stefano; Iske, Armin; Sironi, Amos 2 2016 Fast computation of orthonormal basis for RBF spaces through Krylov space methods. Zbl 1333.41001 De Marchi, Stefano; Santin, Gabriele 17 2015 On the constrained mock-Chebyshev least-squares. Zbl 1304.41012 De Marchi, S.; Dell’Accio, F.; Mazza, M. 15 2015 A few remarks on “On certain Vandermonde determinants whose variables separate”. Zbl 1370.15004 De Camargo, André Pierro; De Marchi, Stefano 2 2015 On certain multivariate Vandermonde determinants whose variables separate. Zbl 1303.15008 De Marchi, Stefano; Usevich, Konstantin 3 2014 A new stable basis for radial basis function interpolation. Zbl 1288.65013 De Marchi, Stefano; Santin, Gabriele 34 2013 Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001 Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean 16 2013 On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003 Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges 42 2012 Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder. Zbl 1250.65017 De Marchi, Stefano; Marchioro, Martina; Sommariva, Alvise 9 2012 On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003 Bos, Len; De Marchi, Stefano; Hormann, Kai 27 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 18 2011 Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005 Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M. 66 2010 Stability of kernel-based interpolation. Zbl 1188.41001 De Marchi, Stefano; Schaback, Robert 42 2010 New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031 De Marchi, Stefano; Vianello, Marco; Xu, Yuan 15 2009 Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018 Caliari, Marco; de Marchi, Stefano; Vianello, Marco 20 2008 Hyperinterpolation in the cube. Zbl 1142.65312 Caliari, Marco; De Marchi, Stefano; Vianello, Marco 10 2008 Univariate radial basis functions with compact support cardinal functions. Zbl 1219.41001 Bos, Len; De Marchi, Stefano 2 2008 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 11 2007 Mathematics and wine. Zbl 1193.00005 De Marchi, Stefano 1 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 66 2006 On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002 Bos, Len; De Marchi, Stefano; Vianello, Marco 19 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 Parametric method for global optimization. Zbl 1278.90444 De Marchi, S.; Raykov, I. 2 2006 Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001 Caliari, Marco; De Marchi, Stefano; Vianello, Marco 54 2005 Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008 Marchi, Stefano; Schaback, Robert; Wendland, Holger 48 2005 On Leja sequences: some results and applications. Zbl 1077.41001 De Marchi, Stefano 14 2004 On optimal center locations for radial basis function interpolation: computational aspects. Zbl 1121.41003 De Marchi, S. 15 2003 Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133 De Marchi, Stefano; Vianello, Marco 4 2003 Polynomials arising in factoring generalized Vandermonde determinants. II: A condition for monicity. Zbl 1007.65034 De Marchi, S. 2 2002 Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients. Zbl 0992.65044 De Marchi, S. 11 2001 Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145 De Marchi, Stefano; Vianello, Marco 3 2001 Fekete points for bivariate polynomials restricted to \(y=x^ m\). Zbl 1084.41500 Bos, Len; De Marchi, Stefano 3 2000 On computing the factors of generalized Vandermonde determinants. Zbl 1041.65038 de Marchi, Stefano 2 2000 Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres. Zbl 0927.41002 Bos, L.; De Marchi, S. 3 1999 A package for representing \(C^1\) interpolating surfaces: Application to the lagoon of Venice’s bed. Zbl 0934.65011 Morandi Cecchi, M.; De Marchi, S.; Fasoli, D. 1 1999 On computing derivatives for \(C^ 1\) interpolating schemes: An optimization. Zbl 0889.65012 De Marchi, S. 1 1998 Peano’s kernel theorem for vector-valued functions: A weak version in normed spaces. Zbl 0874.41014 De Marchi, Stefano; Vianello, Marco 2 1997 Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021 De Marchi, Stefano; Vianello, Marco 6 1996 The polynomial approximation in the finite element method. Zbl 0823.65015 De Marchi, S.; Morandi Cecchi, M. 1 1995 Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems. Zbl 0815.65079 De Marchi, S.; Vianello, M.; Zanovello, R. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 57 De Marchi, Stefano 46 Vianello, Marco 31 Sommariva, Alvise 25 Perracchione, Emma 18 Dell’Accio, Francesco 18 Marchetti, Francesco 17 De Rossi, Alessandra 17 Santin, Gabriele 16 Schaback, Robert 15 Cavoretto, Roberto 13 Elefante, Giacomo 13 Erb, Wolfgang 12 Bos, Len P. 12 Di Tommaso, Filomena 9 Berrut, Jean-Paul 9 Dehghan Takht Fooladi, Mehdi 9 Piazzon, Federico 8 Caliari, Marco 8 Haasdonk, Bernard 8 Kroó, András 8 Nudo, Federico 7 Hormann, Kai 7 Mirzaei, Davoud 7 Narayan, Akil C. 7 Xu, Yuan 6 Cuomo, Salvatore 6 Nikan, Omid 5 Avazzadeh, Zakieh 5 Białas-Cież, Leokadia 5 Calvi, Jean-Paul 5 Chakraborty, Souvik 5 Fasshauer, Gregory E. 5 Francomano, Elisa 5 Ibrahimoglu, Bayram Ali 5 Klein, Georges 5 Mohammadi, Maryam Beyg 5 Occorsio, Donatella 5 Poggiali, Davide 5 Rossini, Milvia 5 Siar, Najoua 5 Wenzel, Tizian 4 An, Congpei 4 Campagna, Rosanna 4 Chowdhury, Rajib 4 Harris, Lawrence A. 4 Sica, Federica 4 Themistoclakis, Woula 4 Vinti, Gianluca 4 Wu, Hao-Ning 3 Abbaszadeh, Mostafa 3 Amat Plata, Sergio 3 Angeloni, Laura 3 Aràndiga, Francesc 3 Barfeie, Mahdiar 3 Conti, Costanza 3 de Camargo, André Pierro 3 Esmaeilbeigi, Mohsen 3 Hon, Yiu-Chung 3 Karvonen, Toni 3 Kolomoitsev, Yurii S. 3 Lin, Rongrong 3 Lomako, Tetiana 3 Martínez, Ángeles 3 Mascarenhas, Walter F. 3 Mishra, Pankaj Kumar 3 Mohammadi, Vahid 3 Neisy, Abdolsadeh 3 Patra, Abani K. 3 Rieger, Christian 3 Ruiz Álvarez, Juan 3 Särkkä, Simo 3 Sen, Mrinal K. 3 Shekhar, Prashant 3 Shin, Yeonjong 3 Sidon, Jean 3 Tanaka, Ken’ichiro 3 Van Barel, Marc 3 Webster, Clayton G. 3 Xiang, Shuhuang 3 Yáñez, Dionisio F. 3 Zhang, Renjiang 3 Žitňan, Peter 3 Zwicknagl, Barbara Maria 2 Acu, Ana Maria 2 Ahlborg, Mandy 2 Alipanah, Amjad 2 Allen, Christian B. 2 Azarnavid, Babak 2 Baumann, Gerd 2 Bruno, Ludovico Bruni 2 Buzug, Thorsten M. 2 Carnicer, Jésus Miguel 2 Chatrabgoun, Omid 2 Cirillo, Emiliano 2 Cools, Ronald 2 Cotronei, Mariantonia 2 Cuyt, Annie A. M. 2 Dai, Feng 2 Dencker, Peter 2 Eggink, Raimondo ...and 527 more Authors all top 5 Cited in 116 Serials 46 Journal of Computational and Applied Mathematics 28 Dolomites Research Notes on Approximation 25 Journal of Approximation Theory 24 Numerical Algorithms 23 Applied Mathematics and Computation 21 Engineering Analysis with Boundary Elements 18 Applied Numerical Mathematics 17 Computers & Mathematics with Applications 15 Journal of Scientific Computing 14 SIAM Journal on Scientific Computing 13 BIT 12 Journal of Computational Physics 12 Applied Mathematics Letters 12 Advances in Computational Mathematics 9 Journal of Mathematical Analysis and Applications 9 Numerische Mathematik 8 Computer Methods in Applied Mechanics and Engineering 8 Calcolo 6 Mathematics and Computers in Simulation 6 Constructive Approximation 5 Mathematics of Computation 5 Computational and Applied Mathematics 4 SIAM Journal on Numerical Analysis 4 Journal of Complexity 4 SIAM/ASA Journal on Uncertainty Quantification 3 Mathematical Methods in the Applied Sciences 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Proceedings of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Applied Mathematical Modelling 3 Optimization Letters 2 Inverse Problems 2 Annales Polonici Mathematici 2 Computing 2 Computer Aided Geometric Design 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Review 2 SIAM Journal on Optimization 2 Finite Fields and their Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 The Journal of Fourier Analysis and Applications 2 Computational Geosciences 2 Computational Methods and Function Theory 2 Statistics and Computing 2 Communications in Applied and Industrial Mathematics 2 Journal of Mathematical Modeling 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 2 Constructive Mathematical Analysis 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Physics Reports 1 Wave Motion 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Journal of Optimization Theory and Applications 1 Mathematica Slovaca 1 Results in Mathematics 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Physica D 1 Algorithmica 1 International Journal of Approximate Reasoning 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Global Optimization 1 Computational Statistics 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Linear Algebra and its Applications 1 Experimental Mathematics 1 Potential Analysis 1 Communications in Numerical Methods in Engineering 1 Applied and Computational Harmonic Analysis 1 Filomat 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Journal of Machine Learning Research (JMLR) 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Computational Management Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Journal of Statistical Theory and Practice ...and 16 more Serials all top 5 Cited in 46 Fields 369 Numerical analysis (65-XX) 236 Approximations and expansions (41-XX) 50 Partial differential equations (35-XX) 30 Statistics (62-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Computer science (68-XX) 15 Fluid mechanics (76-XX) 13 Operations research, mathematical programming (90-XX) 12 Integral equations (45-XX) 12 Functional analysis (46-XX) 12 Probability theory and stochastic processes (60-XX) 12 Biology and other natural sciences (92-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Real functions (26-XX) 9 Potential theory (31-XX) 9 Information and communication theory, circuits (94-XX) 8 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Special functions (33-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year