Edit Profile (opens in new tab) Di Tommaso, Filomena Co-Author Distance Author ID: di-tommaso.filomena Published as: Di Tommaso, Filomena; Di Tommaso, F. External Links: MGP Documents Indexed: 29 Publications since 2012, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 18 Co-Authors with 30 Joint Publications 209 Co-Co-Authors all top 5 Co-Authors 0 single-authored 28 Dell’Accio, Francesco 6 Nudo, Federico 5 Siar, Najoua 4 Cavoretto, Roberto 4 De Rossi, Alessandra 4 Guessab, Allal 4 Nouisser, Otheman 3 Costabile, Francesco Aldo 3 Zerroudi, Benaissa 2 Hormann, Kai 2 Vianello, Marco 1 Caira, Rosanna 1 Gonnelli, Domenico 1 Gualtieri, Maria Italia 1 Infante, Gennaro 1 Longo, Elisabetta 1 Napoli, Anna 1 Sommariva, Alvise all top 5 Serials 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 2 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 BIT 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Mediterranean Journal of Mathematics 1 Dolomites Research Notes on Approximation Fields 28 Numerical analysis (65-XX) 19 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 175 times in 64 Documents Cited by ▼ Year ▼ On the approximation order of triangular Shepard interpolation. Zbl 1335.65016 Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai 21 2016 Scattered data interpolation by Shepard’s like methods: classical results and recent advances. Zbl 1370.41005 Dell’Accio, Francesco; Di Tommaso, Filomena 20 2016 On the bivariate Shepard-Lidstone operators. Zbl 1239.41001 Caira, R.; Dell’Accio, F.; Di Tommaso, F. 15 2012 Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators. Zbl 1332.41003 Dell’Accio, F.; Di Tommaso, F. 15 2016 Fast computation of triangular Shepard interpolants. Zbl 1431.65011 Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena 13 2019 Enhancing the approximation order of local Shepard operators by Hermite polynomials. Zbl 1268.41019 Costabile, F. A.; Dell’Accio, F.; Di Tommaso, F. 12 2012 Complementary Lidstone interpolation on scattered data sets. Zbl 1279.65018 Costabile, F. A.; Dell’Accio, F.; Di Tommaso, F. 11 2013 On the hexagonal Shepard method. Zbl 1453.65030 Dell’Accio, Francesco; Di Tommaso, Filomena 8 2020 An efficient trivariate algorithm for tetrahedral Shepard interpolation. Zbl 1486.65014 Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. 8 2020 Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012 Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai 8 2018 Increasing the approximation order of the triangular Shepard method. Zbl 1380.65028 Dell’Accio, F.; Di Tommaso, F.; Nouisser, O.; Zerroudi, B. 6 2018 Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. Zbl 1524.65051 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua 6 2021 Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation. Zbl 1487.65016 Dell’Accio, Francesco; Di Tommaso, Filomena; Nudo, Federico 5 2022 Bivariate Shepard-Bernoulli operators. Zbl 07313864 Dell’Accio, F.; Di Tommaso, F. 5 2017 On the improvement of the triangular Shepard method by non conformal polynomial elements. Zbl 07630344 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 3 2023 Fast and accurate scattered Hermite interpolation by triangular Shepard operators. Zbl 1484.65023 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Zerroudi, Benaissa 3 2021 On the numerical computation of bivariate Lagrange polynomials. Zbl 1469.65064 Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua 3 2021 Rational Hermite interpolation on six-tuples and scattered data. Zbl 1497.65019 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua 3 2020 A unified enrichment approach of the standard three-node triangular element. Zbl 1528.65068 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 2 2023 Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036 Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco 2 2022 Constrained mock-Chebyshev least squares quadrature. Zbl 1500.65010 Dell’Accio, Francesco; Di Tommaso, Filomena; Nudo, Federico 2 2022 On some numerical integration formulas on the \(d\)-dimensional simplex. Zbl 07246864 Di Tommaso, Filomena; Zerroudi, Benaissa 1 2020 Interpolation by bivariate quadratic polynomials and applications to the Scattered Data Interpolation Problem. Zbl 07249915 Dell’Accio, Francesco; Di Tommaso, Filomena 1 2020 Comparison of Shepard’s like methods with different basis functions. Zbl 07249916 Dell’Accio, Francesco; Di Tommaso, Filomena; Gonnelli, Domenico 1 2020 Enrichment strategies for the simplicial linear finite elements. Zbl 07701102 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 1 2023 On the improvement of the triangular Shepard method by non conformal polynomial elements. Zbl 07630344 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 3 2023 A unified enrichment approach of the standard three-node triangular element. Zbl 1528.65068 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 2 2023 Enrichment strategies for the simplicial linear finite elements. Zbl 07701102 Dell’Accio, Francesco; Di Tommaso, Filomena; Guessab, Allal; Nudo, Federico 1 2023 Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation. Zbl 1487.65016 Dell’Accio, Francesco; Di Tommaso, Filomena; Nudo, Federico 5 2022 Numerical differentiation on scattered data through multivariate polynomial interpolation. Zbl 1496.65036 Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua; Vianello, Marco 2 2022 Constrained mock-Chebyshev least squares quadrature. Zbl 1500.65010 Dell’Accio, Francesco; Di Tommaso, Filomena; Nudo, Federico 2 2022 Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. Zbl 1524.65051 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua 6 2021 Fast and accurate scattered Hermite interpolation by triangular Shepard operators. Zbl 1484.65023 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Zerroudi, Benaissa 3 2021 On the numerical computation of bivariate Lagrange polynomials. Zbl 1469.65064 Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua 3 2021 On the hexagonal Shepard method. Zbl 1453.65030 Dell’Accio, Francesco; Di Tommaso, Filomena 8 2020 An efficient trivariate algorithm for tetrahedral Shepard interpolation. Zbl 1486.65014 Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. 8 2020 Rational Hermite interpolation on six-tuples and scattered data. Zbl 1497.65019 Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua 3 2020 On some numerical integration formulas on the \(d\)-dimensional simplex. Zbl 07246864 Di Tommaso, Filomena; Zerroudi, Benaissa 1 2020 Interpolation by bivariate quadratic polynomials and applications to the Scattered Data Interpolation Problem. Zbl 07249915 Dell’Accio, Francesco; Di Tommaso, Filomena 1 2020 Comparison of Shepard’s like methods with different basis functions. Zbl 07249916 Dell’Accio, Francesco; Di Tommaso, Filomena; Gonnelli, Domenico 1 2020 Fast computation of triangular Shepard interpolants. Zbl 1431.65011 Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena 13 2019 Reconstruction of a function from Hermite-Birkhoff data. Zbl 1426.65012 Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai 8 2018 Increasing the approximation order of the triangular Shepard method. Zbl 1380.65028 Dell’Accio, F.; Di Tommaso, F.; Nouisser, O.; Zerroudi, B. 6 2018 Bivariate Shepard-Bernoulli operators. Zbl 07313864 Dell’Accio, F.; Di Tommaso, F. 5 2017 On the approximation order of triangular Shepard interpolation. Zbl 1335.65016 Dell’Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai 21 2016 Scattered data interpolation by Shepard’s like methods: classical results and recent advances. Zbl 1370.41005 Dell’Accio, Francesco; Di Tommaso, Filomena 20 2016 Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators. Zbl 1332.41003 Dell’Accio, F.; Di Tommaso, F. 15 2016 Complementary Lidstone interpolation on scattered data sets. Zbl 1279.65018 Costabile, F. A.; Dell’Accio, F.; Di Tommaso, F. 11 2013 On the bivariate Shepard-Lidstone operators. Zbl 1239.41001 Caira, R.; Dell’Accio, F.; Di Tommaso, F. 15 2012 Enhancing the approximation order of local Shepard operators by Hermite polynomials. Zbl 1268.41019 Costabile, F. A.; Dell’Accio, F.; Di Tommaso, F. 12 2012 all cited Publications top 5 cited Publications all top 5 Cited by 83 Authors 21 Dell’Accio, Francesco 20 Di Tommaso, Filomena 10 Cavoretto, Roberto 7 De Rossi, Alessandra 6 Nudo, Federico 5 Nouisser, Otheman 4 De Marchi, Stefano 4 Guessab, Allal 4 Siar, Najoua 3 Brugnano, Luigi 3 Costabile, Francesco Aldo 3 Duman, Oktay 3 Esmaeilbeigi, Mohsen 3 Perracchione, Emma 3 Sergeev, Yaroslav Dmitrievich 3 Vianello, Marco 3 Zerroudi, Benaissa 2 Chatrabgoun, Omid 2 Cheraghi, Masoumeh 2 Della Vecchia, Biancamaria 2 Francomano, Elisa 2 Kvasov, Dmitriĭ Evgen’evich 2 Mezzanotte, Domenico 2 Occorsio, Donatella 2 Sommariva, Alvise 2 Vlachkova, Krassimira 2 Wang, Guoshun 2 Yu, Dansheng 1 Allasia, Giampietro 1 Annaby, Mahmoud H. 1 Augustin, Matthias Albert 1 Beaudoin, Normand 1 Bi, Lin 1 Campagna, Rosanna 1 Coroianu, Lucian C. 1 Costarelli, Danilo 1 Cuomo, Salvatore 1 Daropoulos, Viktor 1 Dong, Tian 1 Elefante, Giacomo 1 Elsayed-Abdullah, S. R. 1 Errachid, Mohammed 1 Essanhaji, A. 1 Fermo, Luisa 1 Gao, Qinjiao 1 Garcia-Rubio, Raquel 1 Garmanjani, Gholamreza 1 Guo, Dandan 1 Hameed, Rabia 1 Hormann, Kai 1 Hu, Gang 1 Ji, Xiaomin 1 Kadak, Ugur 1 Kawai, Reiichiro 1 Lancellotti, Sandro 1 Léger, Sophie 1 Lei, Na 1 Liu, Yongping 1 Longo, Elisabetta 1 Marchetti, Francesco 1 Mustafa, Ghulam 1 Paliaga, Marta 1 Pepin, Alexandre 1 Qin, Xinqiang 1 Rossini, Milvia 1 Schneider, Teseo 1 Senger, Steven 1 Severino, Gerardo 1 Song, Chenxiao 1 Sun, Xingping 1 Vigo-Aguiar, Jesus 1 Wang, Liguan 1 Weickert, Joachim 1 Wu, Zongmin 1 Xia, Peng 1 Xu, Guiqiao 1 Zhang, Shenggang 1 Zheng, Jiaoyue 1 Zhigljavsky, Anatoly A. 1 Zhong, De-Yun 1 Zhou, Ping 1 Zhu, Chungang 1 Zulian, Patrick all top 5 Cited in 25 Serials 11 Applied Mathematics and Computation 7 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 5 Applied Mathematics Letters 4 Computers & Mathematics with Applications 4 Journal of Scientific Computing 3 BIT 3 Mathematics and Computers in Simulation 3 Computational and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 1 Journal of Computational Physics 1 Journal of Approximation Theory 1 Results in Mathematics 1 Neural Networks 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 SIAM Journal on Imaging Sciences 1 Analysis and Mathematical Physics 1 Communications in Applied and Industrial Mathematics 1 Journal of Mathematical Research with Applications 1 Constructive Mathematical Analysis all top 5 Cited in 14 Fields 55 Numerical analysis (65-XX) 36 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year