Publications and Preprints

 

D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi: Brain activity mapping from MEG data via a hierarchical Bayesian algorithm with automatic depth weighting: sensitivity and specificity analysis, arXiv.org (2017) submitted.

 

L. Pezza, F. Pitolli: A fractional spline collocation-Galerkin method for the fractional diffusion equation, (2017) submitted.

 

D. Calvetti, F. Pitolli, E. Somersalo, B. Vantaggi: Bayes meets Krylov: preconditioning CGLS for underdetermined systems, arXiv.org (2017) submitted.

 

L. Pezza, F. Pitolli: A multiscale collocation method for fractional differential problems, Mathematics and Computers in Simulations (2017) in press.

 

A. Pascarella, F. Pitolli: An inversion method based on random sampling for real-time MEG neuroimaging, Communications in Applied and Industrial Mathematics (2017) in press, arXiv.org.

 

F. Pitolli, L. Pezza: A fractional spline collocation method for the fractional multiscale order logistic equation, in Approximation Theory XV: San Antonio 2016, Springer (2017), pp. 307318.

 

D. Calvetti, F. Pitolli, J. Prezioso, E. Somersalo, B. Vantaggi: Preconditioned CGLS based quasi-MAP estimate, statistical stopping rule, and ranking for priors, SIAM Journal on Scientific Computing, (2017) in press.

 

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

 

L. Pezza, F. Pitolli, A fractional wavelet Galerkin method for the fractional diffusion problem, IMACS Series in Computational and Applied Mathematics, 20 (2017) 121130.

 

F. Pitolli: Bell-shaped Nonstationary Refinable Ripplets, Advances in Computational Mathematics, 42 (2016) 1427–1451.  arXiv.org

 

V. Bruni, F. Pitolli, C. Pocci: A comparison of iterative thresholding algorithms for the MEG inverse problem, IMACS Series in Computational and Applied Mathematics, 19 (2016) 2130.

 

F. Pitolli, C. Pocci: Neuroelectric source localization by random spatial sampling, Journal of Computational and Applied Mathematics, 296 (2016) 237246.

 

D. Calvetti, A. Pascarella, F. Pitolli, E. Somersalo, B. Vantaggi: A window to the working brain, Inverse Problems – Insights (2015).

 

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

 

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

 

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

 

F. Pitolli: Subdivision schemes for shape preserving approximations, IMACS Series in Computational and Applied Mathematics, 17 (2013) 179-188.

 

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

 

F. Pitolli: 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, 2012, 562-574.

 

L. Gori, F. Pitolli, E. Santi: Refinable ripplets with dilation M=3, Jaen Journal on Approximation, 3, 2011, 173–191. 

 

G. Bretti, F. Pitolli: An iterative thresholding algorithm for the neuronal current imaging, in Applied and Industrial Mathematics in Italy III (SIMAI08 Conference), edito da E. De Bernardis, R. Spigler, W. Valente, Series on Advances in Mathematics for Applied Sciences, Vol. 82, World Scientific, 2010, 134-145.

 

F. Pitolli, G. Bretti: An Iterative Algorithm with Joint Sparsity Constraints for Magnetic Tomography, in Mathematical Methods for Curves and Surfaces, edito da Daehlen et al., Lecture Notes in Computer Science, 5862, Springer-Verlag, 2010, 316-328.

 

G. Bretti, M. Fornasier, F. Pitolli: Electric current density imaging via an accelerated iterative algorithm with joint sparsity constraints, in Proc. SPARS09, 6-9 aprile 2009, St-Malo (France). http://hal.inria.fr/SPARS09/en

 

C. Conti, L. Gori, F. Pitolli, Paul Sablonnière: Approximation by GP box-splines on a four-direction mesh, Journal of Computational and Applied Mathematics,  221 (2008) 310-329.

 

M. Fornasier, F. Pitolli: Adaptive iterative thresholding algorithms for magnetoencephalography, Journal of Computational and Applied Mathematics, 221 (2008) 386-395.

 

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

 

L. Gori, F. Pitolli: Nonstationary subdivision schemes and totally positive refinable functions, in Approximation Theory XII: San Antonio 2007, edito da M. Neamtu e L.L. Schumaker, Nashboro Press, Brentwood, 2007, 169-170.

 

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

 

C. Conti, F. Pitolli: A new class of bivariate refinable functions suitable for cardinal interpolation,  Rendiconti di Matematica VII, 27 (2007) 61-71.

 

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

 

M. Fornasier, F. Pitolli, V. Pizzella: Sparse approximation for blind source separation and magnetoencephalography applications, in Proc. of  MASCOT/06 IMACS/ISGG Workshop, edito da F. Pistella e R.M. Spitaler, IMACS Series in Computational and Applied Mathematics, 11 (2006), 85-96.

 

L. Gori, F. Pitolli, E. Santi: Interpolation and quasi-interpolation for a class of refinable operators,  in Proc. of MASCOT/04 IMACS/ISGG Workshop, edito da C. Conti, F. Pistella e R.M. Spitaleri, IMACS Series in Computational and Applied Mathematics, 9 (2005) 101-110.

 

L. Gori, L. Pezza , F. Pitolli: Recent results on wavelet bases on the interval generated by GP refinable functions,  Applied Numerical Mathematics, 51 (2004) 549-563.

 

L. Gori, F. Pitolli: Refinable functions and positive operators, Applied Numerical Mathematics, 49 (2004) 381-393.

 

C. Conti, L. Gori, F. Pitolli: Some recent results on a new class of bivariate refinable functions,  Rend. Sem. Mat. Univ. Pol. Torino, 3 (2003) 15-25.

 

L. Gori, L. Pezza , F. Pitolli: New families of wavelets on the interval,  in “Curve and Surface Fitting: Saint-Malo 2003”, (A. Cohen, J.L. Merrien and L.L. Schumaker eds.), Nashboro Press, Brentwood, TN,  (2003) 177-186.

 

F. Pitolli: Bases for shape preserving curves, Revue d’Analyse Numerique et de la Theory de l’Approximation, 32 (2003).

 

L. Gori, F. Pitolli: Some results on positive refinable operators, in Proc. of MASCOT/01, (R.M. Spitaleri and F. Pistella eds.), IMACS Series in Computational and Applied Mathematics, 6 (2002)  73-80.

 

L. Gori, F. Pitolli, E. Santi: Positive operators based on scaling functions, Mathematical Modeling, 14 (2002) 116-126.

 

L. Gori, F. Pitolli,  L. Pezza: On the Galerkin method based on a particular class of scaling functions, Numerical Algorithms, 98 (2001) 187-198.

 

L. Gori, F. Pitolli, E. Santi: Positive refinable operators, Numerical Algorithms, 98 (2001) 199-213.

 

L. Gori, F. Pitolli: On some applications of a class of totally positive bases, in “Wavelet Analysis and Applications”, (D. Deng, D. Huang, R.Q. Jia, W. Lin, J. Wang eds.), American Mathematical Society-International Press, USA, 2002, pp. 109-118.

 

L. Gori, F. Pitolli: A class of totally positive refinable functions, Rendiconti di Matematica, Serie VII, 20 (2000) 305-322.

 

L.Gori, L. Pezza, F. Pitolli: A class of totally positive blending  B-bases, in “Curve and Surface Design: Saint Malo 1999”, (P.-J. Laurent, P. Sablonnière, L.L. Schumaker eds.), Vanderbilt University Press, Nashville, TN, (2000) 119-126.

 

W. Gautschi, L. Gori, F. Pitolli: Gauss quadrature rules for refinable weight functions, Applied and Computational Harmonic Analysis, 8 (2000) 249-257.

 

F. Pitolli: Refinement mask of Hurwitz type, Rendiconti di Matematica, Serie VII, 18 (1998) 549-563.

 

M.L. Lo Cascio, F. Pitolli: A class of symmetric compactly supported wavelets and associated dual bases, in "Advances Mathematical Tools in Metrology III (Berlino, 1996)", Series on Advances Mathematics for Applied Sciences, 45 (1997) 270-273.

 

L. Gori, F. Pitolli: Multiresolution analysis based on certain compactly supported refinable functions, in “Approximation and Optimization (Cluji-Napoca, 1996)”, (D.D. Stancu, G. Coman, W.W. Breckner, P. Blaga eds.), Transilvania Press, Cluj-Napopca, (1996) 81-90.

 

M.L. Lo Cascio, F. Pitolli: Generalized cardinal interpolation by refinable functions: some numerical results, Note di Matematica, 15 (1995) 191-201.