Publications and Preprints
E. Pellegrino, L. Pezza, F. Pitolli, Quasi-interpolant
operators and the solution of fractional differential problems, Proceedings
of Approximation Theory XVI, Nashville TN, 2018, in press. arXiv.org
F. Pitolli, On the
numerical solution of fractional boundary value problems by a spline
quasi-interpolant operator, Axioms (2020) 9, 61.
E. Pellegrino, L. Pezza, F. Pitolli, A
collocation method in refinable spaces for the
solution of fractional dynamical systems, Mathematics and Computers
in Simulations 176 (2020) 266-278. arXiv.org
V. Bruni, M. Cotronei, F. Pitolli, A
family of level-dependent biorthogonal wavelet filters for image processing,
Journal of Computational and Applied Mathematics 367 (2020) 112467.
C. Campi, A. Pascarella, F. Pitolli, Less is
enough: assessment of the random sampling method for the analysis of MEG data,
Mathematical and Computational Applications 24 (2019) 98.
F. Pitolli, A
collocation method for the numerical solution of nonlinear fractional dynamical
systems, Algorithms (2019) 12, 156.
A. Pascarella, F.
Pitolli: An
inversion method based on random sampling for real-time MEG neuroimaging,
Communications in Applied and Industrial Mathematics 10 (2019) 25-34.
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, Brain
Topography 32 (2019), 363-393. arXiv.org
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 (2018), 177-186
F. Pitolli, Optimal
B-Spline Bases for the Numerical Solution of Fractional Differential Problems,
Axioms (2018) 7, 46.
L. Pezza, F. Pitolli: A
fractional spline collocation-Galerkin method for the
time-fractional diffusion equation, Communications in
Applied and Industrial Mathematics, 9 (2018) 104–120.
F. Pitolli, A fractional
B-spline collocation method for the numerical solution of fractional
predator-prey models, Fractal&Fractional
(2018) 2, 13.
D. Calvetti, F. Pitolli, E. Somersalo,
B. Vantaggi: Bayes meets Krylov: preconditioning CGLS for underdetermined systems,
SIAM Review 60 (2018) 429-461. arXiv.org
L. Pezza, F. Pitolli: A multiscale
collocation method for fractional differential problems, Mathematics and
Computers in Simulations 147 (2018) 210–219.
F. Pitolli, L. Pezza: A fractional spline collocation method for the fractional order logistic
equation, in Approximation Theory XV: San
Antonio 2016, Springer (2017) pp. 307–318.
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, 39 (2017)
S477-S500.
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) 121–130.
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) 21–30.
F. Pitolli, C. Pocci: Neuroelectric source localization by random
spatial sampling, Journal of Computational and Applied Mathematics, 296 (2016) 237–246.
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.