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: 88 Publications since 1993 4 Contributions as Editor Reviewing Activity: 2 Reviews Co-Authors: 59 Co-Authors with 81 Joint Publications 1,207 Co-Co-Authors all top 5 Co-Authors 11 single-authored 25 Vianello, Marco 19 Bos, Len P. 11 Marchetti, Francesco 11 Perracchione, Emma 10 Caliari, Marco 7 Elefante, Giacomo 6 Morandi Cecchi, Maria 6 Santin, Gabriele 5 Sommariva, Alvise 4 Iske, Armin 3 Hormann, Kai 3 Redivo-Zaglia, Michela 3 Xu, Yuan 2 Brezinski, Claude 2 Buhmann, Martin Dietrich 2 Campagna, Rosanna 2 Cavoretto, Roberto 2 De Rossi, Alessandra 2 Erb, Wolfgang 2 Poggiali, D. 2 Schaback, Robert 2 Seatzu, Sebastiano 2 Wendland, Holger 1 Acu, Ana Maria 1 Angrilli, Francesco 1 Berrut, Jean-Paul 1 Bittante, Claudia 1 Carnicer, Jésus Miguel 1 Carnier, Jesus M. 1 Cuomo, Salvatore 1 de Camargo, André Pierro 1 Dehghan Takht Fooladi, Mehdi 1 Dell’Accio, Francesco 1 Esfahani, Mohammad Karimnejad 1 Fasoli, Diego 1 Francomano, Elisa 1 Idda, Andrea 1 Karimnejad, Esfahani Mohammad 1 Klein, Georges 1 Klimek, Maciej 1 Kroó, András 1 Levenberg, Norman jun. 1 Ligun, A. A. 1 Marchioro, Martina 1 Mariethoz, Jean-Zacharie 1 Mohammadi, Vahid 1 Montagna, Roberto 1 Neisy, Abdolsadeh 1 Rasa, Ioan 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 Zanovello, Renato all top 5 Serials 10 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 5 Journal of Approximation Theory 5 Numerical Algorithms 4 Applied Numerical Mathematics 4 Dolomites Research Notes on Approximation 3 IMA Journal of Numerical Analysis 3 BIT 3 Applied Mathematics Letters 3 Advances in Computational Mathematics 3 East Journal on Approximations 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 Mathematical Analysis and 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 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 62 Numerical analysis (65-XX) 58 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-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 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-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 67 Publications have been cited 778 times in 393 Documents Cited by ▼ Year ▼ Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan 58 2006 Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M. 51 2010 Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001Caliari, Marco; De Marchi, Stefano; Vianello, Marco 48 2005 Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008Marchi, Stefano; Schaback, Robert; Wendland, Holger 41 2005 On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges 37 2012 Stability of kernel-based interpolation. Zbl 1188.41001De Marchi, Stefano; Schaback, Robert 35 2010 A new stable basis for radial basis function interpolation. Zbl 1288.65013De Marchi, Stefano; Santin, Gabriele 32 2013 Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan 29 2007 On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003Bos, Len; De Marchi, Stefano; Hormann, Kai 24 2011 Partition of unity interpolation using stable kernel-based techniques. Zbl 1372.65030Cavoretto, R.; De Marchi, S.; De Rossi, A.; Perracchione, E.; Santin, G. 20 2017 Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018Caliari, Marco; de Marchi, Stefano; Vianello, Marco 18 2008 On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002Bos, Len; De Marchi, Stefano; Vianello, Marco 18 2006 Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco 17 2011 Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. Zbl 1444.65006De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. 17 2020 Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco 16 2011 Multivariate approximation at fake nodes. Zbl 1474.65022De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 16 2021 Fast computation of orthonormal basis for RBF spaces through Krylov space methods. Zbl 1333.41001De Marchi, Stefano; Santin, Gabriele 15 2015 Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean 15 2013 On optimal center locations for radial basis function interpolation: computational aspects. Zbl 1121.41003De Marchi, S. 14 2003 Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI. Zbl 1370.41004De Marchi, S.; Erb, W.; Marchetti, F. 13 2017 Polynomial interpolation via mapped bases without resampling. Zbl 1439.65010De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 13 2020 New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031De Marchi, Stefano; Vianello, Marco; Xu, Yuan 13 2009 Fast and stable rational RBF-based partition of unity interpolation. Zbl 07006433De Marchi, S.; Martínez, A.; Perracchione, E. 13 2019 On Leja sequences: some results and applications. Zbl 1077.41001De Marchi, Stefano 12 2004 Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368De Marchi, S.; Marchetti, F.; Perracchione, E. 12 2020 Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028Bos, L.; De Marchi, S.; Vianello, M. 11 2017 A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M. 11 2006 Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. Zbl 1440.41004Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. 11 2020 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 10 2019 Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients. Zbl 0992.65044De Marchi, S. 9 2001 Hyperinterpolation on the square. Zbl 1151.65014Caliari, Marco; De Marchi, Stefano; Vianello, Marco 9 2007 Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. Zbl 1457.92042Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano 9 2021 Hyperinterpolation in the cube. Zbl 1142.65312Caliari, Marco; De Marchi, Stefano; Vianello, Marco 8 2008 Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco 8 2006 A rescaled method for RBF approximation. Zbl 1385.65017De Marchi, Stefano; Idda, Andrea; Santin, Gabriele 7 2017 Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder. Zbl 1250.65017De Marchi, Stefano; Marchioro, Martina; Sommariva, Alvise 7 2012 Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto 7 2006 A stable meshfree PDE solver for source-type flows in porous media. Zbl 1440.65242Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G. 7 2020 On the constrained mock-Chebyshev least-squares. Zbl 1304.41012De Marchi, S.; Dell’Accio, F.; Mazza, M. 6 2015 Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021De Marchi, Stefano; Vianello, Marco 4 1996 Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003Bos, L.; De Marchi, S.; Vianello, M. 4 2017 Analysis of a new class of rational RBF expansions. Zbl 1465.65014Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma 4 2020 On certain multivariate Vandermonde determinants whose variables separate. Zbl 1303.15008De Marchi, Stefano; Usevich, Konstantin 3 2014 Marcinkiewicz-Zygmund type results in multivariate domains. Zbl 1413.41040Marchi, S. De; Kroó, A. 3 2018 A new quasi-Monte Carlo technique based on nonnegative least squares and approximate Fekete points. Zbl 1399.65003Bittante, Claudia; De Marchi, Stefano; Elefante, Giacomo 3 2016 Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points. Zbl 1382.65009De Marchi, Stefano; Elefante, Giacomo 3 2018 Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres. Zbl 0927.41002Bos, L.; De Marchi, S. 3 1999 Fekete points for bivariate polynomials restricted to \(y=x^ m\). Zbl 1084.41500Bos, Len; De Marchi, Stefano 3 2000 Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133De Marchi, Stefano; Vianello, Marco 3 2003 Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145De Marchi, Stefano; Vianello, Marco 3 2001 Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method. Zbl 1499.65029De Marchi, S.; Elefante, G.; Marchetti, F. 3 2021 A few remarks on “On certain Vandermonde determinants whose variables separate”. Zbl 1370.15004De Camargo, André Pierro; De Marchi, Stefano 2 2015 Univariate radial basis functions with compact support cardinal functions. Zbl 1219.41001Bos, Len; De Marchi, Stefano 2 2008 On computing the factors of generalized Vandermonde determinants. Zbl 1041.65038de Marchi, Stefano 2 2000 On the convergence of the rescaled localized radial basis function method. Zbl 1468.65011De Marchi, Stefano; Wendland, Holger 2 2020 Parametric method for global optimization. Zbl 1278.90444De Marchi, S.; Raykov, I. 2 2006 On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. Zbl 1482.41001De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco 2 2021 Kernel-based image reconstruction from scattered Radon data. Zbl 1370.94031De Marchi, Stefano; Iske, Armin; Sironi, Amos 1 2016 Mathematics and wine. Zbl 1193.00005De Marchi, Stefano 1 2007 Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Zbl 06859127De Marchi, S.; Iske, A.; Santin, Gabriele 1 2018 Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems. Zbl 0815.65079De Marchi, S.; Vianello, M.; Zanovello, R. 1 1994 Peano’s kernel theorem for vector-valued functions: A weak version in normed spaces. Zbl 0874.41014De Marchi, Stefano; Vianello, Marco 1 1997 On computing derivatives for \(C^ 1\) interpolating schemes: An optimization. Zbl 0889.65012De Marchi, S. 1 1998 The polynomial approximation in the finite element method. Zbl 0823.65015De Marchi, S.; Morandi Cecchi, M. 1 1995 A package for representing \(C^1\) interpolating surfaces: Application to the lagoon of Venice’s bed. Zbl 0934.65011Morandi Cecchi, M.; De Marchi, S.; Fasoli, D. 1 1999 Polynomials arising in factoring generalized Vandermonde determinants. II: A condition for monicity. Zbl 1007.65034De Marchi, S. 1 2002 Polynomial mapped bases: theory and applications. Zbl 1512.41001De Marchi, Stefano; Elefante, Giacomo; Francomano, Elisa; Marchetti, Francesco 1 2022 Polynomial mapped bases: theory and applications. Zbl 1512.41001De Marchi, Stefano; Elefante, Giacomo; Francomano, Elisa; Marchetti, Francesco 1 2022 Multivariate approximation at fake nodes. Zbl 1474.65022De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 16 2021 Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. Zbl 1457.92042Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano 9 2021 Stable discontinuous mapped bases: the Gibbs-Runge-avoiding stable polynomial approximation (GRASPA) method. Zbl 1499.65029De Marchi, S.; Elefante, G.; Marchetti, F. 3 2021 On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. Zbl 1482.41001De 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 1444.65006De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. 17 2020 Polynomial interpolation via mapped bases without resampling. Zbl 1439.65010De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. 13 2020 Jumping with variably scaled discontinuous kernels (VSDKs). Zbl 07209368De Marchi, S.; Marchetti, F.; Perracchione, E. 12 2020 Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. Zbl 1440.41004Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. 11 2020 A stable meshfree PDE solver for source-type flows in porous media. Zbl 1440.65242Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G. 7 2020 Analysis of a new class of rational RBF expansions. Zbl 1465.65014Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma 4 2020 On the convergence of the rescaled localized radial basis function method. Zbl 1468.65011De Marchi, Stefano; Wendland, Holger 2 2020 Fast and stable rational RBF-based partition of unity interpolation. Zbl 07006433De Marchi, S.; Martínez, A.; Perracchione, E. 13 2019 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 10 2019 Marcinkiewicz-Zygmund type results in multivariate domains. Zbl 1413.41040Marchi, S. De; Kroó, A. 3 2018 Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points. Zbl 1382.65009De Marchi, Stefano; Elefante, Giacomo 3 2018 Image reconstruction from scattered Radon data by weighted positive definite kernel functions. Zbl 06859127De Marchi, S.; Iske, A.; Santin, Gabriele 1 2018 Partition of unity interpolation using stable kernel-based techniques. Zbl 1372.65030Cavoretto, R.; De Marchi, S.; De Rossi, A.; Perracchione, E.; Santin, G. 20 2017 Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI. Zbl 1370.41004De Marchi, S.; Erb, W.; Marchetti, F. 13 2017 Polynomial approximation on Lissajous curves in the \(d\)-cube. Zbl 1372.65028Bos, L.; De Marchi, S.; Vianello, M. 11 2017 A rescaled method for RBF approximation. Zbl 1385.65017De Marchi, Stefano; Idda, Andrea; Santin, Gabriele 7 2017 Trivariate polynomial approximation on Lissajous curves. Zbl 1433.41003Bos, L.; De Marchi, S.; Vianello, M. 4 2017 A new quasi-Monte Carlo technique based on nonnegative least squares and approximate Fekete points. Zbl 1399.65003Bittante, Claudia; De Marchi, Stefano; Elefante, Giacomo 3 2016 Kernel-based image reconstruction from scattered Radon data. Zbl 1370.94031De Marchi, Stefano; Iske, Armin; Sironi, Amos 1 2016 Fast computation of orthonormal basis for RBF spaces through Krylov space methods. Zbl 1333.41001De Marchi, Stefano; Santin, Gabriele 15 2015 On the constrained mock-Chebyshev least-squares. Zbl 1304.41012De Marchi, S.; Dell’Accio, F.; Mazza, M. 6 2015 A few remarks on “On certain Vandermonde determinants whose variables separate”. Zbl 1370.15004De Camargo, André Pierro; De Marchi, Stefano 2 2015 On certain multivariate Vandermonde determinants whose variables separate. Zbl 1303.15008De Marchi, Stefano; Usevich, Konstantin 3 2014 A new stable basis for radial basis function interpolation. Zbl 1288.65013De Marchi, Stefano; Santin, Gabriele 32 2013 Bounding the Lebesgue constant for Berrut’s rational interpolant at general nodes. Zbl 1281.41001Bos, Len; De Marchi, Stefano; Hormann, Kai; Sidon, Jean 15 2013 On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. Zbl 1252.41003Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges 37 2012 Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder. Zbl 1250.65017De Marchi, Stefano; Marchioro, Martina; Sommariva, Alvise 7 2012 On the Lebesgue constant of Berrut’s rational interpolant at equidistant nodes. Zbl 1231.41003Bos, Len; De Marchi, Stefano; Hormann, Kai 24 2011 Padua2DM: Fast interpolation and cubature at the Padua points in MATLAB/Octave. Zbl 1206.65028Caliari, Marco; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco 17 2011 Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco 16 2011 Computing multivariate Fekete and Leja points by numerical linear algebra. Zbl 1221.41005Bos, L.; De Marchi, S.; Sommariva, A.; Vianello, M. 51 2010 Stability of kernel-based interpolation. Zbl 1188.41001De Marchi, Stefano; Schaback, Robert 35 2010 New cubature formulae and hyperinterpolation in three variables. Zbl 1180.65031De Marchi, Stefano; Vianello, Marco; Xu, Yuan 13 2009 Bivariate Lagrange interpolation at the Padua points: Computational aspects. Zbl 1152.65018Caliari, Marco; de Marchi, Stefano; Vianello, Marco 18 2008 Hyperinterpolation in the cube. Zbl 1142.65312Caliari, Marco; De Marchi, Stefano; Vianello, Marco 8 2008 Univariate radial basis functions with compact support cardinal functions. Zbl 1219.41001Bos, Len; De Marchi, Stefano 2 2008 Bivariate Lagrange interpolation at the Padua points: The ideal theory approach. Zbl 1126.41002Bos, Len; De Marchi, Stefano; Vianello, Marco; Xu, Yuan 29 2007 Hyperinterpolation on the square. Zbl 1151.65014Caliari, Marco; De Marchi, Stefano; Vianello, Marco 9 2007 Mathematics and wine. Zbl 1193.00005De Marchi, Stefano 1 2007 Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan 58 2006 On the Lebesgue constant for the Xu interpolation formula. Zbl 1099.41002Bos, Len; De Marchi, Stefano; Vianello, Marco 18 2006 A numerical study of the xu polynomial interpolation formula in two variables. Zbl 1087.65009Bos, L.; Caliari, M.; De Marchi, S.; Vianello, M. 11 2006 Bivariate interpolation at Xu points: results, extensions and applications. Zbl 1115.65304Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco 8 2006 Hyper2d: A numerical code for hyperinterpolation on rectangles. Zbl 1105.65307Caliari, Marco; Vianello, Marco; De Marchi, Stefano; Montagna, Roberto 7 2006 Parametric method for global optimization. Zbl 1278.90444De Marchi, S.; Raykov, I. 2 2006 Bivariate polynomial interpolation on the square at new nodal sets. Zbl 1081.41001Caliari, Marco; De Marchi, Stefano; Vianello, Marco 48 2005 Near-optimal data-independent point locations for radial basis function interpolation. Zbl 1070.65008Marchi, Stefano; Schaback, Robert; Wendland, Holger 41 2005 On Leja sequences: some results and applications. Zbl 1077.41001De Marchi, Stefano 12 2004 On optimal center locations for radial basis function interpolation: computational aspects. Zbl 1121.41003De Marchi, S. 14 2003 Fast evaluation of discrete integral transforms by Chebyshev and Leja polynomial approximation. Zbl 1023.65133De Marchi, Stefano; Vianello, Marco 3 2003 Polynomials arising in factoring generalized Vandermonde determinants. II: A condition for monicity. Zbl 1007.65034De Marchi, S. 1 2002 Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients. Zbl 0992.65044De Marchi, S. 9 2001 Approximating the approximant: A numerical code for polynomial compression of discrete integral operators. Zbl 0991.65145De Marchi, Stefano; Vianello, Marco 3 2001 Fekete points for bivariate polynomials restricted to \(y=x^ m\). Zbl 1084.41500Bos, Len; De Marchi, Stefano 3 2000 On computing the factors of generalized Vandermonde determinants. Zbl 1041.65038de Marchi, Stefano 2 2000 Limiting values under scaling of the Lebesgue function for polynomial interpolation on spheres. Zbl 0927.41002Bos, L.; De Marchi, S. 3 1999 A package for representing \(C^1\) interpolating surfaces: Application to the lagoon of Venice’s bed. Zbl 0934.65011Morandi Cecchi, M.; De Marchi, S.; Fasoli, D. 1 1999 On computing derivatives for \(C^ 1\) interpolating schemes: An optimization. Zbl 0889.65012De Marchi, S. 1 1998 Peano’s kernel theorem for vector-valued functions: A weak version in normed spaces. Zbl 0874.41014De Marchi, Stefano; Vianello, Marco 1 1997 Peano’s kernel theorem for vector-valued functions and some applications. Zbl 0868.41021De Marchi, Stefano; Vianello, Marco 4 1996 The polynomial approximation in the finite element method. Zbl 0823.65015De Marchi, S.; Morandi Cecchi, M. 1 1995 Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems. Zbl 0815.65079De Marchi, S.; Vianello, M.; Zanovello, R. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 527 Authors 48 De Marchi, Stefano 36 Vianello, Marco 23 Sommariva, Alvise 19 Perracchione, Emma 15 Schaback, Robert 14 Marchetti, Francesco 14 Santin, Gabriele 12 Cavoretto, Roberto 11 Bos, Len P. 11 De Rossi, Alessandra 10 Erb, Wolfgang 9 Berrut, Jean-Paul 8 Caliari, Marco 8 Elefante, Giacomo 7 Dehghan Takht Fooladi, Mehdi 7 Dell’Accio, Francesco 7 Hormann, Kai 7 Kroó, András 7 Mirzaei, Davoud 7 Narayan, Akil C. 7 Piazzon, Federico 6 Di Tommaso, Filomena 5 Avazzadeh, Zakieh 5 Calvi, Jean-Paul 5 Chakraborty, Souvik 5 Cuomo, Salvatore 5 Fasshauer, Gregory E. 5 Haasdonk, Bernard 5 Klein, Georges 5 Nikan, Omid 5 Xu, Yuan 4 Campagna, Rosanna 4 Chowdhury, Rajib 4 Harris, Lawrence A. 4 Ibrahimoglu, Bayram Ali 3 Białas-Cież, Leokadia 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 Mascarenhas, Walter F. 3 Mishra, Pankaj Kumar 3 Mohammadi, Vahid 3 Occorsio, Donatella 3 Poggiali, D. 3 Rieger, Christian 3 Särkkä, Simo 3 Sen, Mrinal K. 3 Siar, Najoua 3 Sica, Federica 3 Sidon, Jean 3 Tanaka, Ken’ichiro 3 Webster, Clayton G. 3 Xiang, Shuhuang 3 Zhang, Renjiang 3 Žitňan, Peter 3 Zwicknagl, Barbara Maria 2 Abbaszadeh, Mostafa 2 Ahlborg, Mandy 2 Allen, Christian B. 2 An, Congpei 2 Aràndiga, Francesc 2 Baumann, Gerd 2 Buzug, Thorsten M. 2 Carnicer, Jésus Miguel 2 Chatrabgoun, Omid 2 Cirillo, Emiliano 2 Cools, Ronald 2 Cuyt, Annie A. M. 2 Dencker, Peter 2 Eggink, Raimondo 2 El-Mikkawy, Moawwad E. A. 2 El-Sharkawy, Hany A. M. 2 Ernst, Oliver G. 2 Esmaeili, Hamid 2 Floater, Michael S. 2 Franzelin, Fabian 2 Garmanjani, Gholamreza 2 Guo, Ling 2 Hassan Ben-Ahmed, El 2 Heryudono, Alfa R. H. 2 Jakeman, John Davis 2 Jing, ke 2 Kaethner, Christian 2 Kang, Ning 2 Kazem, Saeed 2 Klinker, Frank 2 Kröker, Ilja 2 Larsson, Elisabeth 2 Levenberg, Norman jun. 2 Levesley, Jeremy 2 Li, Huiyuan 2 Majidian, Hassan 2 Marco García, Ana 2 Martínez, José-Javier 2 Moazami, Davoud 2 Nath, Sankar K. ...and 427 more Authors all top 5 Cited in 104 Serials 36 Journal of Computational and Applied Mathematics 23 Applied Mathematics and Computation 23 Journal of Approximation Theory 23 Numerical Algorithms 17 Computers & Mathematics with Applications 16 Engineering Analysis with Boundary Elements 15 Applied Numerical Mathematics 13 Journal of Scientific Computing 12 SIAM Journal on Scientific Computing 10 Journal of Computational Physics 10 BIT 10 Applied Mathematics Letters 10 Advances in Computational Mathematics 9 Numerische Mathematik 8 Journal of Mathematical Analysis and Applications 6 Calcolo 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematics of Computation 5 Mathematics and Computers in Simulation 4 Constructive Approximation 4 Computational and Applied Mathematics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Numerical Functional Analysis and Optimization 3 Proceedings of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Journal of Complexity 3 Applied Mathematical Modelling 3 Optimization Letters 2 Inverse Problems 2 Annales Polonici Mathematici 2 Computing 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Numerical Analysis 2 Computer Aided Geometric Design 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Review 2 SIAM Journal on Optimization 2 The Journal of Fourier Analysis and Applications 2 Computational Geosciences 2 Computational Methods and Function Theory 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 2 Constructive Mathematical Analysis 1 Applicable Analysis 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 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 Finite Fields and their Applications 1 ETNA. Electronic Transactions on Numerical Analysis 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 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Machine Learning Research (JMLR) 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 1 Electronic Journal of Statistics 1 SIAM Journal on Imaging Sciences 1 São Paulo Journal of Mathematical Sciences 1 Advances in Numerical Analysis 1 Advances in Applied Mathematics and Mechanics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Afrika Matematika 1 Arabian Journal for Science and Engineering 1 Statistics and Computing 1 Communications in Applied and Industrial Mathematics 1 Arabian Journal of Mathematics 1 JSIAM Letters ...and 4 more Serials all top 5 Cited in 40 Fields 300 Numerical analysis (65-XX) 185 Approximations and expansions (41-XX) 43 Partial differential equations (35-XX) 27 Statistics (62-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Computer science (68-XX) 13 Fluid mechanics (76-XX) 12 Probability theory and stochastic processes (60-XX) 10 Operations research, mathematical programming (90-XX) 10 Biology and other natural sciences (92-XX) 9 Special functions (33-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 8 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Potential theory (31-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mechanics of deformable solids (74-XX) 6 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) Citations by Year