Edit Profile (opens in new tab) Pitolli, Francesca Co-Author Distance Author ID: pitolli.francesca Published as: Pitolli, Francesca; Pitolli, F. External Links: ORCID · dblp Documents Indexed: 50 Publications since 1989, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 27 Co-Authors with 44 Joint Publications 590 Co-Co-Authors all top 5 Co-Authors 7 single-authored 19 Gori, Laura 9 Pezza, Laura 6 Calvetti, Daniela 6 Somersalo, Erkki 6 Vantaggi, Barbara 5 Conti, Costanza 5 Pascarella, Annalisa 5 Santi, Elisabetta 3 Pellegrino, Enza 2 Bretti, Gabriella 2 Mansutti, Daniela 1 Bassanini, Piero 1 Bruni, Vittoria 1 Bulgarelli, Ulderico 1 Calabró, Francesco 1 Carillo, Sandra 1 Cotronei, Mariantonia 1 Della Cioppa, L. 1 Fornasier, Massimo 1 Gautschi, Walter 1 Lo Cascio, Maria Laura 1 Manni, Carla 1 Pocci, Cristina 1 Prezioso, Jamie 1 Sablonnière, Paul 1 Spitaleri, Rosa Maria 1 Tartaglione, Michela all top 5 Serials 7 Journal of Computational and Applied Mathematics 5 Mathematics and Computers in Simulation 4 Applied Numerical Mathematics 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Inverse Problems 2 Numerical Algorithms 2 Communications in Applied and Industrial Mathematics 1 Meccanica 1 Rendiconti del Seminario Matematico 1 Note di Matematica 1 SIAM Review 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 Matematicheskoe Modelirovanie 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Algorithms 1 Jaen Journal on Approximation 1 Axioms all top 5 Fields 41 Numerical analysis (65-XX) 15 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 4 Partial differential equations (35-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 251 times in 131 Documents Cited by ▼ Year ▼ A class of totally positive refinable functions. Zbl 0989.65153 Gori, L.; Pitolli, F. 22 2000 A fractional spline collocation-Galerkin method for the time-fractional diffusion equation. Zbl 1448.65172 Pezza, L.; Pitolli, F. 18 2018 Gauss quadrature for refineable weight functions. Zbl 0954.65018 Gautschi, Walter; Gori, Laura; Pitolli, Francesca 17 2000 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 17 2015 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 14 2018 Computation of quadrature rules for integration with respect to refinable functions on assigned nodes. Zbl 1326.65032 Calabrò, Francesco; Manni, Carla; Pitolli, Francesca 14 2015 Multiresolution analysis based on certain compactly supported refinable functions. Zbl 0883.65120 Gori, Laura; Pitolli, Francesca 12 1997 Ternary shape-preserving subdivision schemes. Zbl 07312659 Pitolli, Francesca 11 2014 Positive refinable operators. Zbl 0993.65157 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 9 2001 Refinable functions and positive operators. Zbl 1055.65153 Gori, Laura; Pitolli, Francesca 9 2004 Totally positive functions through nonstationary subdivision schemes. Zbl 1114.65017 Conti, Costanza; Gori, Laura; Pitolli, Francesca 9 2007 On the Galerkin method based on a particular class of scaling functions. Zbl 0990.65109 Gori, Laura; Pitolli, Francesca; Pezza, Laura 8 2001 Adaptive iterative thresholding algorithms for magnetoencephalography (MEG). Zbl 1146.92022 Fornasier, Massimo; Pitolli, Francesca 8 2008 A fractional spline collocation method for the fractional-order logistic equation. Zbl 1385.65046 Pitolli, Francesca; Pezza, Laura 7 2017 Positive operators based on scaling functions. Zbl 1066.41025 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 6 2002 Refinable ripplets with dilation 3. Zbl 1259.41015 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 6 2011 Recent results on wavelet bases on the interval generated by GP refinable functions. Zbl 1063.65154 Gori, Laura; Pezza, Laura; Pitolli, Francesca 5 2004 Optimal B-spline bases for the numerical solution of fractional differential problems. Zbl 1432.65019 Pitolli, Francesca 5 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Some recent results on a new class of bivariate refinable functions. Zbl 1177.65028 Conti, C.; Gori, L.; Pitolli, F. 5 2003 A collocation method in spline spaces for the solution of linear fractional dynamical systems. Zbl 1510.65173 Pellegrino, E.; Pezza, L.; Pitolli, F. 5 2020 A multiscale collocation method for fractional differential problems. Zbl 07316209 Pezza, L.; Pitolli, F. 5 2018 A new class of bivariate refinable functions suitable for cardinal interpolation. Zbl 1162.65066 Conti, Costanza; Pitolli, Francesca 5 2007 Refinement masks of Hurwitz type in the cardinal interpolation problem. Zbl 0926.65012 Pitolli, F. 4 1998 Bell-shaped nonstationary refinable ripplets. Zbl 1354.41012 Pitolli, Francesca 3 2016 On some applications of a class of totally positive bases. Zbl 1005.42025 Gori, Laura; Pitolli, Francesca 3 2002 On a class of shape-preserving refinable functions with dilation 3. Zbl 1262.65207 Gori, L.; Pitolli, F.; Santi, E. 3 2013 Nonstationary subdivision schemes and totally positive refinable functions. Zbl 1148.41009 Gori, Laura; Pitolli, Francesca 3 2008 Approximation by GP box-splines on a four-direction mesh. Zbl 1152.41004 Conti, Costanza; Gori, Laura; Pitolli, Francesca; Sablonnière, Paul 3 2008 Neuroelectric source localization by random spatial sampling. Zbl 1371.92074 Pitolli, F.; Pocci, C. 2 2016 Quasi-interpolant operators and the solution of fractional differential problems. Zbl 1477.65124 Pellegrino, Enza; Pezza, Laura; Pitolli, Francesca 2 2021 Multiresolution analyses originated from nonstationary subdivision schemes. Zbl 1153.65023 Gori, Laura; Pitolli, Francesca 2 2008 An inversion method based on random sampling for real-time MEG neuroimaging. Zbl 1423.92170 Pascarella, Annalisa; Pitolli, Francesca 1 2019 A family of level-dependent biorthogonal wavelet filters for image compression. Zbl 1486.65304 Bruni, Vittoria; Cotronei, Mariantonia; Pitolli, Francesca 1 2020 Refinable interpolatory and quasi-interpolatory operators. Zbl 1179.41022 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 1 2007 An iterative algorithm with joint sparsity constraints for magnetic tomography. Zbl 1274.65062 Pitolli, Francesca; Bretti, Gabriella 1 2010 Quasi-interpolant operators and the solution of fractional differential problems. Zbl 1477.65124 Pellegrino, Enza; Pezza, Laura; Pitolli, Francesca 2 2021 A collocation method in spline spaces for the solution of linear fractional dynamical systems. Zbl 1510.65173 Pellegrino, E.; Pezza, L.; Pitolli, F. 5 2020 A family of level-dependent biorthogonal wavelet filters for image compression. Zbl 1486.65304 Bruni, Vittoria; Cotronei, Mariantonia; Pitolli, Francesca 1 2020 An inversion method based on random sampling for real-time MEG neuroimaging. Zbl 1423.92170 Pascarella, Annalisa; Pitolli, Francesca 1 2019 A fractional spline collocation-Galerkin method for the time-fractional diffusion equation. Zbl 1448.65172 Pezza, L.; Pitolli, F. 18 2018 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 14 2018 Optimal B-spline bases for the numerical solution of fractional differential problems. Zbl 1432.65019 Pitolli, Francesca 5 2018 A multiscale collocation method for fractional differential problems. Zbl 07316209 Pezza, L.; Pitolli, F. 5 2018 A fractional spline collocation method for the fractional-order logistic equation. Zbl 1385.65046 Pitolli, Francesca; Pezza, Laura 7 2017 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Bell-shaped nonstationary refinable ripplets. Zbl 1354.41012 Pitolli, Francesca 3 2016 Neuroelectric source localization by random spatial sampling. Zbl 1371.92074 Pitolli, F.; Pocci, C. 2 2016 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 17 2015 Computation of quadrature rules for integration with respect to refinable functions on assigned nodes. Zbl 1326.65032 Calabrò, Francesco; Manni, Carla; Pitolli, Francesca 14 2015 Ternary shape-preserving subdivision schemes. Zbl 07312659 Pitolli, Francesca 11 2014 On a class of shape-preserving refinable functions with dilation 3. Zbl 1262.65207 Gori, L.; Pitolli, F.; Santi, E. 3 2013 Refinable ripplets with dilation 3. Zbl 1259.41015 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 6 2011 An iterative algorithm with joint sparsity constraints for magnetic tomography. Zbl 1274.65062 Pitolli, Francesca; Bretti, Gabriella 1 2010 Adaptive iterative thresholding algorithms for magnetoencephalography (MEG). Zbl 1146.92022 Fornasier, Massimo; Pitolli, Francesca 8 2008 Nonstationary subdivision schemes and totally positive refinable functions. Zbl 1148.41009 Gori, Laura; Pitolli, Francesca 3 2008 Approximation by GP box-splines on a four-direction mesh. Zbl 1152.41004 Conti, Costanza; Gori, Laura; Pitolli, Francesca; Sablonnière, Paul 3 2008 Multiresolution analyses originated from nonstationary subdivision schemes. Zbl 1153.65023 Gori, Laura; Pitolli, Francesca 2 2008 Totally positive functions through nonstationary subdivision schemes. Zbl 1114.65017 Conti, Costanza; Gori, Laura; Pitolli, Francesca 9 2007 A new class of bivariate refinable functions suitable for cardinal interpolation. Zbl 1162.65066 Conti, Costanza; Pitolli, Francesca 5 2007 Refinable interpolatory and quasi-interpolatory operators. Zbl 1179.41022 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 1 2007 Refinable functions and positive operators. Zbl 1055.65153 Gori, Laura; Pitolli, Francesca 9 2004 Recent results on wavelet bases on the interval generated by GP refinable functions. Zbl 1063.65154 Gori, Laura; Pezza, Laura; Pitolli, Francesca 5 2004 Some recent results on a new class of bivariate refinable functions. Zbl 1177.65028 Conti, C.; Gori, L.; Pitolli, F. 5 2003 Positive operators based on scaling functions. Zbl 1066.41025 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 6 2002 On some applications of a class of totally positive bases. Zbl 1005.42025 Gori, Laura; Pitolli, Francesca 3 2002 Positive refinable operators. Zbl 0993.65157 Gori, Laura; Pitolli, Francesca; Santi, Elisabetta 9 2001 On the Galerkin method based on a particular class of scaling functions. Zbl 0990.65109 Gori, Laura; Pitolli, Francesca; Pezza, Laura 8 2001 A class of totally positive refinable functions. Zbl 0989.65153 Gori, L.; Pitolli, F. 22 2000 Gauss quadrature for refineable weight functions. Zbl 0954.65018 Gautschi, Walter; Gori, Laura; Pitolli, Francesca 17 2000 Refinement masks of Hurwitz type in the cardinal interpolation problem. Zbl 0926.65012 Pitolli, F. 4 1998 Multiresolution analysis based on certain compactly supported refinable functions. Zbl 0883.65120 Gori, Laura; Pitolli, Francesca 12 1997 all cited Publications top 5 cited Publications all top 5 Cited by 211 Authors 26 Pitolli, Francesca 12 Gori, Laura 11 Calvetti, Daniela 10 Conti, Costanza 10 Somersalo, Erkki 8 Calabró, Francesco 6 Pezza, Laura 6 Pragliola, Monica 6 Santi, Elisabetta 5 Romani, Lucia 4 Cotronei, Mariantonia 4 Fornasier, Massimo 4 Jüttler, Bert 4 Mustafa, Ghulam 4 Strang, Alexander 3 Hameed, Rabia 3 Jena, Hrushikesh 3 Jena, Mahendra Kumar 3 Manni, Carla 3 Sangalli, Giancarlo 2 Abbas, Muhammad Mohsin 2 Akram, Ghazala 2 Akram, Tayyaba 2 Ameen, Ibrahem G. 2 Băleanu, Dumitru I. 2 Bibi, Khalida 2 Charina, Maria 2 Costantini, Paolo Giuseppe 2 De Villiers, Johan Marthinus 2 Dong, Yiqiu 2 Esposito, A. Corbo 2 Ismail, Ahmad Izani Mohamed 2 Kim, Hwanwoo 2 Kurkcu, Omur Kivanc 2 Lanza, Alessandro 2 Laurie, Dirk P. 2 Loris, Ignace 2 Mantica, Giorgio 2 Mantzaflaris, Angelos 2 Pan, Maodong 2 Pascarella, Annalisa 2 Pellegrino, Enza 2 Prezioso, Jamie 2 Rehan, Kashif 2 Remogna, Sara 2 Sablonnière, Paul 2 Sezer, Mehmet 2 Sgallari, Fiorella 2 Tani, Mattia 2 Vantaggi, Barbara 2 Xie, Jiaquan 2 Zaky, Mahmoud A. 2 Zhang, Baoxing 2 Zhang, Jun 2 Zheng, Hongchan 1 Abbaszadeh, Mostafa 1 Agarwal, Praveen 1 Agrawal, Shiv 1 Aimi, Alessandra 1 Ali, Norhashidah Mohd. 1 Amat Plata, Sergio 1 Amin, Muhammad Shoib 1 Aslan, Ersin 1 Barakat, Mohamed A. 1 Barrera, Domingo 1 Barton, Michael H. 1 Bashir, Robina 1 Beccari, Carolina Vittoria 1 Behiry, S. H. 1 Bocchinfuso, Alberto 1 Bretti, Gabriella 1 Briol, François-Xavier 1 Bruni, Vittoria 1 Calatroni, Luca 1 Calo, Victor Manuel 1 Cardone, Angelamaria 1 Carillo, Sandra 1 Carissimo, Cesare 1 Casciola, Giulio 1 Chen, Kean 1 Chu, Yuming 1 Cockayne, Jon 1 Conte, Dajana 1 Cosmo, Anna 1 Dagnino, Catterina 1 Dahlke, Stephan 1 Daubechies, Ingrid Chantal 1 Dehghan Takht Fooladi, Mehdi 1 Della Cioppa, L. 1 Deng, Quanling 1 Di Fazio, E. 1 Diligenti, Mauro 1 Durastante, Fabio 1 Dyn, Nira 1 Eddargani, Salah 1 Eldray, A. A. M. O. 1 Elsaid, Ahmed 1 Fabrizi, C. 1 Faghih, Amin 1 Fang, Ethan X. ...and 111 more Authors all top 5 Cited in 49 Serials 15 Journal of Computational and Applied Mathematics 11 Mathematics and Computers in Simulation 10 Applied Mathematics and Computation 9 Applied Numerical Mathematics 7 Inverse Problems 6 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Applied and Computational Mathematics 4 BIT 4 Numerical Algorithms 4 SIAM Journal on Scientific Computing 4 Applied and Computational Harmonic Analysis 2 Mathematics of Computation 2 Numerische Mathematik 2 SIAM Review 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Advances in Difference Equations 2 Inverse Problems and Imaging 2 Communications in Applied and Industrial Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Demonstratio Mathematica 1 Computer Aided Geometric Design 1 Constructive Approximation 1 Facta Universitatis. Series Mathematics and Informatics 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Linear Algebra and its Applications 1 Computational Optimization and Applications 1 Turkish Journal of Mathematics 1 Fractals 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Hacettepe Journal of Mathematics and Statistics 1 GAMM-Mitteilungen 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Algorithms 1 Journal of Mathematics and Computer Science. JMCS 1 Journal of Theoretical Biology 1 Axioms 1 Bayesian Analysis 1 Journal of Mathematics 1 Foundations of Data Science all top 5 Cited in 26 Fields 116 Numerical analysis (65-XX) 35 Approximations and expansions (41-XX) 14 Ordinary differential equations (34-XX) 14 Statistics (62-XX) 13 Partial differential equations (35-XX) 12 Information and communication theory, circuits (94-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Real functions (26-XX) 8 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operations research, mathematical programming (90-XX) 3 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year