Rete ITaliana di Approssimazione
Research ITalian network on Approximation (RITA)
The "Research ITalian network on Approximation (RITA)" groups several italian numerical analysts working on Multivariate Approximation. In this website we collect all research topics and activites of RITA members and institutions.
At the moment the network is among the following institutions and people:
Department of Mathematics "Tullio Levi-Civita", University of Padova
staff members: Stefano De Marchi, Wolfgang Erb, Francesco Marchetti, Fabio Marcuzzi, Federico Piazzon, Alvise Sommariva, Marco Vianello
post-docs: Giacomo Elefante
phd students: Cinzia Bandiziol, Mohammad Karimnejad Esfahani
external collaborator: Monica Dessole, Davide Poggiali
Topics: kernel methods; meshless approximation and applications; polynomial, trigonometric and rational interpolation and approximation; quadrature and cubature formulas; approximation theory in medical imaging; mathematical system modelling from data; high performance computing
International collaborations: B. Bauman (Lawrence Livermore National Laboratory), J.-P. Calvi (Univ. of Toulouse III), K. Hormann (Univ. of Lugano), A. Iske (Univ. of Hamburg), A. Kroo (Hungarian Academy of Sciences, Budapest), P. Leopardi (Australian Gov. Bureau of Meteorology, Melbourne), N. Levenberg (Indiana Univ., Bloomington), R. Schaback (Univ. of Goettingen), K. Usevich (CNRS, Grenoble), Y. Xu (Univ. of Oregon, Eugene)
Visiting 2022: A. M. Acu (University of Sibiu) 19/2-12/3 2022
Visiting 2020: L. Bialas-Ciez (Jagellonian Univ., Cracow) and M. Baran (Pedagogical Univ., Cracow) 12-22/2 2020
Visiting 2019: A. Kroo (Hungarian Academy of Sciences, Budapest) 1-30/6 2019, A. P. Peron (University of São Paulo, São Carlos) 14-25/1 2019, L. Plaskota (Univ. of Warsaw) 9-18/1 2019 [phd-course], A. Weinmann (Darmstadt Univ. of Applied Sciences) 13-31/5 2019
Visiting 2018: N. Levenberg (Indiana Univ., Bloomington) 27/4-5/5 2018, M. Slawinski (Memorial University of Newfoundland) 18-22/6 2018
Visiting 2017: A. Kroo (Hungarian Academy of Sciences, Budapest) 8/1-8/4 2017, A. Neisy (Allameh Tabataba'i Univ.) 19/7-22/8 2017, W. Erb (Univ. of Hawaii, Honolulu) 24-28/7 2017, A. Weinmann (Univ. of Darmstadt) 24-28/7 2017, M. Buhmann (Univ. of Giessen) 30/10-4/11 2017, H. Wendland (Univ. of Bayreuth) 6-27/11 2017 [seminar-abstract]
Department of Computer Science, University of Verona
staff members: Len Bos, Marco Caliari
phd student: Franco Zivcovich
Topics: polynomial, trigonometric and rational interpolation and approximation; matrix exponential approximation by interpolation
International collaborations: T. Bloom (Univ. of Toronto), J.-P. Calvi (Univ. of Toulouse III), K. Hormann (Univ. of Lugano), N. Levenberg (Indiana Univ., Bloomington), A. Ostermann and S. Rainer (Univ. of Innsbruck), S. Waldron (Univ. of Auckland)
Visiting 2017: A. Ostermann (Univ. of Innsbruck) 24/4-5/5 2017
Center for Information and Communication Technology - Fondazione Bruno Kessler
staff member: Gabriele Santin
Department of Mathematics and Applications, University of Milano - Bicocca
staff member: Milvia Rossini
Topics: kernel methods; meshless approximation and applications; subdivision schemes; wavelets; frames; mathematical signal processing
International collaborations: F. Arandiga and R. Donat (Univ. of Valencia), C. Rabut (INSA Toulouse), T. Sauer (Univ of Passau), R. Schaback (Univ. of Goettingen)
Department of Mathematics "Giuseppe Peano", University of Torino
Topics: kernel methods; meshless approximation and applications; approximation theory in medical imaging; approximation algorithms for biological models
International collaborations: S. Demertzis (Cardiocentro Ticino, Lugano), G.E. Fasshauer (Colorado School of Mines, Golden), M. Haque (Univ. of Nottingham), E. Larsson (Uppsala Univ.), H. Malchow (Osnabrueck Univ.), M. Mayr (FH Wiener Neustadt), M.J. McCourt (SigOpt, Inc., San Francisco), B. Quatember and W. Recheis (Univ. of Innsbruck), H. Wendland (Univ. of Bayreuth)
Department of Mathematics, University of Genova
staff member: Cristina Campi
post-docs: Daniela Schenone
Topics: approximation theory; kernel methods; surface reconstruction for inverse problems; medical and astronomical imaging
Department of Mathematics, Alma Mater Studiorum University of Bologna
staff member: Lucia Romani
Topics: geometric modeling; numerical methods for CAGD; refinable functions; subdivision schemes; image analysis and segmentation
International collaborations: G. Albrecht (Univ. of Medellin), M. Charina (Univ. of Wien), N. Dyn (Tel Aviv Univ.), V. Hernandez Mederos and J. Estrada Sarlabous (ICIMAF, Havana), J.-L. Merrien (INSA Toulouse), J. Stockler (TU Dortmund), M. Unser (EPFL Lausanne), J. Yoon (Ewha W. Univ. Seul)
Department of Industrial Engineering, University of Firenze
staff member: Costanza Conti
Topics: subdivision schemes; wavelets; frames; mathematical signal processing
International collaborations: M. Charina (Univ. of Wien), N. Dyn (Tel Aviv Univ.), J.-L. Merrien (INSA Toulouse), T. Sauer (Univ. of Passau), J. Stockler (TU Dortmund), M. Unser (EPFL Lausanne), J. Yoon (Ewha W. Univ. Seul)
Visiting 2018: D. Labate (Houston Univ.) 15/5-13/6 2018
Visiting 2017: S. Huning (TU Graz) 10/9-24/12 2017, S. Lopez Urena (Univ. of Valencia) 1/10-24/12 2017, J.-L. Merrien (INSA Toulouse) 22-28/1 2017
School of Science and Technology (Matematics division), University of Camerino
staff members: Renato De Leone, Nadaniela Egidi, Lorella Fatone, Pierluigi Maponi
post-doc: Josephin Giacomini
phd students: Lorenza Spadoni, Filippo Santarelli, Elisa Marcelli
Topics: numerical methods for PDE; polynomial interpolation and approximation; spectral methods; image analysis; inverse problems; classification and regression problems; Support Vector Machines; numerical methods for integral equations
International collaborations: Y. Li (Liaocheng Univ.), G. Manzini (Los Alamos National Laboratory), S. Pickl (Universität der Bundeswehr München), L. Qiao (Liaocheng Univ.), N. Sorin (Universität der Bundeswehr München)
Department of Mathematics and Computer Science, University of Perugia
staff members: Laura Angeloni, Carlo Bardaro, Danilo Costarelli, Ilaria Mantellini, Gianluca Vinti, Luca Zampogni
post-doc: Marco Seracini
phd students: Eleonora De Angelis, Mariarosaria Natale, Michele Piconi, Arianna Travaglini
Topics: approximation theory by sampling-type operators, approximation by neural network type operators, approximation theory in medical imaging, mathematical image processing, signal theory, mathematical methods for civil and energetic engineering
International collaborations: T. Acar (Selçuk Univ., Selcuklu), J. Appel (Wuerzburg Univ.), P.L. Butzer and R.L. Stens (Aachen), L. Coroianu (Oradea Univ.), H. Karsli (Abant Izzet Baysal Universitesi), E. Lyflyand (Bar-llan Univ.), J. Musielak (Poznan), M. Skopina (S. Petersburg State Univ.), S. Tikhonov (Barcellona)
Visiting 2018: M. Skopina (S. Petersburg State Univ.) 14-21/1 2018
Visiting 2017: S. Tikhonov (Barcellona), E. Lyflyand (Bar-llan Univ.) 14-20/2 2017
Department of Basic and Applied Sciences for Engineering, University of Roma "La Sapienza"
staff members: Vittoria Bruni, Laura Pezza, Francesca Pitolli, Domenico Vitulano
Topics: subdivision schemes; wavelets; mathematical signal processing; fractional differential problems; undetermined inverse problems; multiscale analysis; time-frequency transforms; image processing; information theory
International collaborations: D. Calvetti and F. Somersalo (Case Western Reserve Univ., Cleveland), A. Kokaram (Trinity College, Dublin), B. Piccoli (Rutgers Univ., USA), I. Selesnick (New York Univ.)
Visiting 2019: D. Calvetti and F. Somersalo (Case Western Reserve Univ., Cleveland) 14/1-14/2 2019
Section of Mathematics, Uninettuno University, Roma
staff members: Clemente Cesarano, Paolo Emilio Ricci, Renato Spigler [section-link]
Topics: special functions in approximation theory; non-trigonometric Fourier analysis; polynomial and trigonometric approximation; quadrature and cubature formulas; eigenvalues approximation; geometrical models; fractional differential problems; numerical methods for integral equations; approximation algorithms for biological models
International collaborations: P. Agarwal (ANAND, Jaipur, India), N. Cakic (Univ. of Beograd, Serbia), D. Caratelli (Tomsk Polytechnic Univ., Tomsk, Russia), J. Gielis (Univ. of Antwerp, Belgium), M.X. He (Nova Southeastern Univ., Ft. Lauderdale, FL, U.S.A.), S. Khan (Aligarh Muslim Univ., India), S. Pinelas (Academia Militar, Amadora, Purtugal), H.M. Srivastava (Univ. of Victoria, Canada), I. Tavkhelidze (Tbilisi State Univ., Georgia), L. Vazquez Martinez (Univ. Complutense)
Departments of Mathematics and Physics, University of Campania "L. Vanvitelli", Caserta
staff members: Rosanna Campagna
Topics: kernel methods; meshless approximation and applications; mathematical signal processing; spline and rational interpolation and approximation
International collaboration: K. Hormann (Univ. of Lugano)
Visiting 2020: K. Hormann (Univ. of Lugano) 07/01 2020
Departments of Mathematics and Applications "R. Caccioppoli" and Agricultural Sciences, University of Naples Federico II
staff member: Salvatore Cuomo
Topics: kernel methods; meshless approximation and applications; mathematical signal processing; high performance computing
International collaborations: G. Mei (University of Geoscience, Beijing), P. Assari (Bu-Ali Sina University)
Visiting 2019: D. Calvetti and E. Somersalo (Case Western Reserve Univ., Cleveland) 18/05-20/06 2019 [Data-Mining-course]
Visiting 2018: D. Calvetti and E. Somersalo (Case Western Reserve Univ., Cleveland) 02-21/05 2018
CNR National Research Council of Italy - IAC Institute, Naples
staff members: Maria Rosaria Capobianco, Woula Themistoclakis
Topics: meshless approximation and applications; numerical methods for integral equations; polynomial interpolation and approximation; quadrature and cubature formulas; singular problems; wavelets
International collaborations: F. Filbir (Helmholtz Munich), P. Junghanns (TU Chemitz), M. Van Barel (KU Leuven)
Visiting 2019: F. Filbir (Helmholtz & Technische Universität München) 28/2-9/3 2019 [seminar-abstract-1], [seminar-abstract-2]
Department of Mathematics, University of Salerno
staff member: Dajana Conte
Topics: collocation/Runge-Kutta methods for ODEs, FDEs and VIEs; parallel numerical methods; model reduction methods; exponentially fitted methods for oscillatory problems; numerical methods for stochastic VIEs
International collaborations: Z. Jackiewicz (Arizona State Univ.), L.Gr. Ixaru (Institute of Physics and Nuclear Engineering, Bucharest), Ch. Lubich (Univ. of Tuebingen), F. Mohammadi and L. Moradi (Univ. of Hormozgan, Iran), S. Shahmorad and Y. Talaei (Univ. of Tabriz, Iran)
Visiting 2019: L. Moradi (Univ. of Hormozgan, Iran) 9/7/2018-5/8/2019 and 27/9-24/10 2019, J. Butcher (Univ. of Auckland, New Zealand) 31/7-4/08 2019, H. Podhaisky (Univ. of Halle, Germany) 22/9-30/9 2019, L. Ixaru (Institute of Physics and Nuclear Engineering, Bucharest, Romania) 17/11-26/11 2019
Visiting 2018: D. Cohen (Umea Univ.) 2-7/2/2018, Z. Jackiewicz (Arizona State Univ.) 8-13/7 2018
Visiting 2017: L.Gr. Ixaru (Institute of Physics and Nuclear Engineering, Bucharest), 14-18/12 2017
Department of Mathematics, University of Bari "A. Moro"
staff member: Mirella Cappelletti Montano
Topics: positive approximation processes; approximation problems for semigroups of operators and evolution equations
International collaborators: T. Acar (Selçuk Univ., Selcuklu), P. Garrancho (Univ. of Jaen), I. Rasa (Technical Univ. of Cluj-Napoca)
Department of Mathematics and Physics "E. De Giorgi", University of Salento
staff member: Michele Campiti
Topics: approximation by positive operators; approximation of semigroups; rate of convergence; evolution problems
International collaborations: T. Acar (Selçuk Univ., Selcuklu), I. Rasa (Technical Univ. of Cluj-Napoca)
Department of Mathematics, Computer Science and Economy, University of Basilicata, Potenza
staff members: Iulia Martina Bulai, Maria Carmela De Bonis, Concetta Laurita, Vita Leonessa, Donatella Occorsio, Maria Grazia Russo
professor emeritus: Giuseppe Mastroianni
phd students: Domenico Mezzanotte, Valeria Sagaria
external collaborators: Giada Serafini
Topics: numerical methods for integral equations; polynomial interpolation and approximation; quadrature and cubature formulas; singular problems; positive approximation processes; approximation problems for semigroups of operators and evolution equations
International collaborations: T. Acar (Selcuk Univ., Selcuklu), T. Diogo and P. Lima (Instituto Superior Técnico, Lisbon), P. Garrancho (University of Jaén), P. Junghanns (TU Chemnitz), G.V. Milovanovic (Serbian Academy of Sciences, Beograd), I. Rasa (Technical Univ. of Cluj-Napoca), J. Szabados (Hungarian Academy of Sciences, Budapest)
Department of Mathematics and Computer Science, University of Cagliari
Staff member: Luisa Fermo
Topics: numerical methods for Fredholm and Volterra integral equations, quadrature and cubature formulae, inverse problems, polynomial interpolation, and approximation
International collaborations: D. Dukic (University of Belgrade, Serbia), T. Diogo and P. Lima (Instituto Superior Tecnico, Lisbon), R. Mutavdzic (University of Belgrade, Serbia), L. Reichel (Kent State University, Ohio, US), M. Spalevic (University of Belgrade, Serbia)
Department of Mathematics and Computer Science, University of Calabria, Cosenza
staff members: Francesco Dell'Accio, Filomena Di Tommaso, Anna Napoli
phd students: Federico Nudo, Najoua Siar
Topics: meshless approximation and applications; polynomial and rational interpolation and approximation; quadrature and cubature formulas; collocation and spectral methods for IVPs and BVPs; bisection-exclusion algorithms
International collaborations: K. Hormann (Univ. of Lugano), O. Nouisser (Univ. Ibn Tofail, Kenitra, Marocco), W.M. Abd-Elhameed (Cairo University)
Visiting 2018: T. Sauer (Univ. of Passau) 11/1 2018 [seminar-abstract], B. Zerroudi (Ibn Tofail Univ., Kenitra) 8-20/4 2018
Department of Information Engineering, Infrastructure and Sustainable Energy, Mediterranean University of Reggio Calabria
staff member: Mariantonia Cotronei
Topics: subdivision schemes; wavelets; frames; mathematical signal processing
International collaborations: M. Charina (Univ. of Wien), M. Holschneider (Univ. of Potsdam), T. Sauer (Univ. of Passau)
Visiting 2019: M. Charina (Univ. of Vienna) and T. Sauer (Univ. of Passau) 9-17/1 2019
Visiting 2018: T. Sauer (Univ. of Passau) 7-13/1 2018
Department of Industrial and Digital Innovation, University of Palermo
staff member: Elisa Francomano
external collaborator: Marta Paliaga
Topics: kernel methods; meshless approximation and applications; wavelet and multiresolution analysis; high performance computing; BVPs; approximation algorithms for biological models
International collaborations: G.E. Fasshauer (Colorado School of Mines, Golden), F.M. Hilker (Osnabrueck Univ.), M.J. McCourt (SigOpt, Inc., San Francisco)
Visiting 2019: G.E. Fasshauer (Colorado School of Mines, Golden) 12-18/6 2019
Department MIFT, University of Messina
staff member: Luigia Puccio
Topics: wavelets; mathematical signal processing; image restoration
International collaborations: M. Holschneider (Potsdam Univ.)
RITA abroad
Emiliano Cirillo (Lausanne), Gaspare Da Fies (Aberystwyth)