Pubblicazioni recenti

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  1. D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi (2022) The IAS-MEEG package: a flexible inverse source reconstruction platform for reconstruction and visualization of brain activity from M/EEG data, Brain Topography (in press)

  2. A. Pascarella, E. Gianni, M. Abbondanza, K. Armonaite, Karolina, F. Pitolli, M. Bertoli, T. L’Abbate, J. Grifoni, Joy, D. Vitulano, V. Bruni, L. Conti, L. Paulon, F. Tecchio. Normalized compression distance to measure cortico-muscular synchronization, Frontiers in Neuroscience (2022) 16:933391

  3. F. Pitolli, C. Sorgentone, E. Pellegrino (2022) Approximation of the Riesz–Caputo derivative by cubic splines, Algorithms 15(2) 69

  4. E. Pellegrino, F. Pitolli (2021) Applications of optimal spline approximations for the solution of nonlinear time-fractional initial value problems, Axioms 10(4) (2021) 249

  5. D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi (2021) Mining the Mind: Linear Discriminant Analysis of MEG source reconstruction time series supports dynamic changes in deep brain regions during meditation sessions, Brain Topography 34(6) 840-862 (arXiv)

  6. E. Pellegrino, L. Pezza, F. Pitolli (2021) A collocation method based on discrete spline quasi-interpolatory operators for the solution of time fractional differential equations, Fractal & Fractional 5, 5

  7. E. Pellegrino, L. Pezza, F. Pitolli (2021) Quasi-interpolant operators and the solution of fractional differential problems, in: Approximation Theory XVI: Nashville 2018 (Fasshauer G., Schumaker L., eds), Springer Proceedings in Mathematics and Statistics 336, 207-218 (arXiv)

  8. F. Pitolli (2020) On the numerical solution of fractional boundary value problems by a spline quasi-interpolant operator, Axioms 9(2), 61

  9. E. Pellegrino, L. Pezza, F. Pitolli (2020) A collocation method in refinable spaces for the solution of fractional dynamical systems, Mathematics and Computers in Simulations, 176, 266-278 (arXiv)

  10. V. Bruni, M. Cotronei, F. Pitolli (2020) A family of level-dependent biorthogonal wavelet filters for image processing, Journal of Computational and Applied Mathematics 367, 112467

  11. C. Campi, A. Pascarella, F. Pitolli (2019) Less is enough: assessment of the random sampling method for the analysis of MEG data, Mathematical and Computational Applications, 24(4), 98

  12. F. Pitolli (2019) A collocation method for the numerical solution of nonlinear fractional dynamical systems, Algorithms, 12(8), 156

  13. A. Pascarella, F. Pitolli (2019) An inversion method based on random sampling for real-time MEG neuroimaging, Communications in Applied and Industrial Mathematics, 10(2) (2019) 25-34 (arXiv)

  14. E. Pellegrino, L. Pezza, F. Pitolli, Numerical solution of the fractional oscillation equation by a refinable collocation method, Rendiconti del Seminario e del Politecnico di Torino 76(2) (2018), 177-186

  15. D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi (2019) Brain activity mapping from MEG data via a hierarchical Bayesian algorithm with automatic depth weighting, Brain Topography, 32(3), 363-393 (arXiv)

  16. F. Pitolli (2018) Optimal B-Spline Bases for the Numerical Solution of Fractional Differential Problems, Axioms, 7, 46

  17. L. Pezza, F. Pitolli (2018) A fractional spline collocation-Galerkin method for the time-fractional diffusion equation, Communications in Applied and Industrial Mathematics, 9(1), 104–120

  18. F. Pitolli (2018) A fractional B-spline collocation method for the numerical solution of fractional predator-prey models, Fractal&Fractional, 2, 13

  19. D. Calvetti, F. Pitolli, E. Somersalo, B. Vantaggi (2018) Bayes meets Krylov: preconditioning CGLS for underdetermined systems, SIAM Review, 60(2), 429-461 (arXiv)

  20. L. Pezza, F. Pitolli (2018) A multiscale collocation method for fractional differential problems, Mathematics and Computers in Simulations, 147 (2018), 210-219

  21. D. Calvetti, F. Pitolli, J. Prezioso, E. Somersalo, B. Vantaggi (0217) Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors, SIAM Journal on Scientific Computing, 39, S477-S500

  22. F. Pitolli, L. Pezza (2018) A fractional spline collocation method for the fractional order logistic equation, in: Approximation Theory XV: San Antonio 2016 (Fasshauer G., Schumaker L., eds), Proceedings in Mathematics & Statistics, vol. 201, Springer, pp. 307-318 (preprint)

  23. L. Pezza, F. Pitolli (0217) A fractional wavelet Galerkin method for the fractional diffusion problem, IMACS Series in Computational and Applied Mathematics, 20, 121-130

  24. L. Gori, F. Pitolli (2017) Totally positive refinable functions with general dilation M, Applied Numerical Mathematics, 112, 17–26

  25. F. Pitolli (2016) Bell-shaped nonstationary refinable ripplets, Advances in Computational Mathematics, 42, 1427–1451

  26. F. Pitolli, C. Pocci (2016) Neuroelectric source localization by random spatial sampling, Journal of Computational and Applied Mathematics, 296, 237–246

  27. D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi (2015) A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning, Inverse Problems, 31 (12), 12500

  28. F. Calabrò, C. Manni, F. Pitolli (2015) Computation of quadrature rules for integration with respect to refinable functions on assigned nodes, Applied and Numerical Mathematics, 90, 168–189

  29. F. Pitolli (2014) Ternary shape-preserving subdivision schemes, Mathematics and Computers in Simulations, 106, 185-194

  30. L. Gori, F. Pitolli, E. Santi (2013) On a class of shape-preserving refinable functions with dilation 3, Journal of Computational and Applied Mathematics, 245, 62-74

  31. F. Pitolli (2012) Neuroelectric current localization from combined EEG/MEG data, in Mathematical Methods for Curves and Surfaces, edito da J.-D. Boissonnat et al., Lecture Notes in Computer Science, 6920, Springer-Verlag, pp. 562-574

  32. L. Gori, F. Pitolli, E. Santi (2011) Refinable ripplets with dilation 3, Jaen Journal on Approximation 3, 173–191

  33. G. Bretti, F. Pitolli (2010) An iterative thresholding algorithm for the neuronal current imaging, in Applied and Industrial Mathematics in Italy III, edito da E. De Bernardis, R. Spigler, W. Valente, Series on Advances in Mathematics for Applied Sciences, Vol. 82, World Scientific, pp. 134-145.

  34. F. Pitolli, G. Bretti (2010) An Iterative Algorithm with Joint Sparsity Constraints for Magnetic Tomography, in Mathematical Methods for Curves and Surfaces, edito da Morten Daehlen, Michael S. Floater, Tom Lyche, Jean-Louis Merrien, Knut Morken, Larry L. Schumaker, Lecture Notes in Computer Science, 5862, Springer-Verlag, pp. 316-328

  35. M. Fornasier, F. Pitolli (2008) Adaptive Iterative Thresholding Algorithms for Magneto-encephalography, Journal of Computational and Applied Mathematics, 221, 386-395

  36. L. Gori, F. Pitolli (2008) Multiresolution analyses originated from nonstationary subdivision schemes, Journal of Computational and Applied Mathematics, 221, 406-415

  37. C. Conti, L. Gori, F. Pitolli, Paul Sablonnière (228) Approximation by GP box-splines on a four-direction mesh, Journal of Computational and Applied Mathematics, 221, 310-329

  38. C. Conti, L. Gori, F. Pitolli (2007) Totally positive functions through nonstationary subdivision schemes, Journal of Computational and Applied Mathematics, 200, 255-265

  39. L. Gori, F. Pitolli, E. Santi (2007) Refinable interpolatory and quasi-interpolatory operators, Mathematics and Computers in Simulation, 75, 191-199