Attivita' di Ricerca
Negli ultimi anni la ricerca si e' rivolta principalmente allo studio di alcuni Boundary Value Methods e alla loro applicazione per la approssimazione degli autovalori dei Problemi di Sturm-Liouville.
Di seguito sono riportate le pubblicazioni piu' recenti.
- P.Ghelardoni; Approximations of Sturm-Liouville eigenvalues using Boundary Value Methods, Applied Numerical Mathematics, 23, 311-325, 1997.
- P.Ghelardoni-G.Gheri-M.Marletta-P.Marzulli; Correction of solutions for linear and nonlinear boundary value problems, Ann. Univ. Ferrara - Sez. VII - Sc. Mat., XLV, 305-316, 2000.
- P.Ghelardoni-G.Gheri-M.Marletta; Spectral corrections for Sturm-Liouville problems, Journal of Computational and Applied Mathematics,132, 443-459, 2001.
- P.Ghelardoni-G.Gheri; Improved shooting technique for numerical computations of eigenvalues in Sturm-Liouville problems, Nonlinear Analysis, 47, 885-896, 2001.
- P.Ghelardoni-G.Gheri-M.Marletta; On some numerical methods for spectral computation in LAMBDA-rational Sturm-Liouville problems, Calcolo, 39, 109-121, 2002.
- P.Ghelardoni-G.Gheri; Difficulties of numerical integration for a class of second order differential eigenproblems, preprint, 2002.
- P.Ghelardoni-G.Gheri-M.Marletta; Numerical solution of a LAMBDA-rational Sturm-Liouville problem, IMA J. Numer. Anal., 23, 29-53, 2003.
- P.Ghelardoni-G.Gheri-M.Marletta; A high order BVM approach to computation of embedded eigenvalues in Sturm-Liouville problems, Proceedings Enumath-2001, 2003.
- P.Ghelardoni-G.Gheri-M.Marletta; A quasi extrapolation procedure for error estimation of numerical methods in Sturm-Liouville eigenproblems, Journal of Computational and Applied Mathematics,164-165, 323-335, 2004.
- P.Ghelardoni-G.Gheri-M.Marletta; A polynomial approach to the spectral correction for Sturm-Liouville problems, Journal of Computational and Applied Mathematics, 185, 360-376, 2006.
- L.Aceto-P.Ghelardoni-M.Marletta; Numerical computation of eigenvalues in spectral gaps of Sturm-Liouville operators, Journal of Computational and Applied Mathematics, 189, 453-470, 2006.
- L.Aceto-P.Ghelardoni-G.Gheri; An algebraic procedure for the spectral corrections using the miss-distance functions in regular and singular Sturm-Liouville problems, SIAM Journal on Numerical Analysis, 44, 2227-2243, 2006.
- L.Aceto-P.Ghelardoni-M.Marletta; Numerical solution of forward and inverse Sturm-Liouville problems with an angular momentum singularity, Inverse Problems, 24, 015001 (21pp), 2008.
- L.Aceto-P.Ghelardoni-C.Magherini; Boundary Value Methods as an extension of Numerov's method for Sturm-Liouville eigenvalue estimates, Applied Numerical Mathematics, 59, 1644-1656, 2009.
- L.Aceto-P.Ghelardoni-C.Magherini; BVMs for Sturm-Liouville eigenvalue estimates with general boundary conditions, JNAIAM, 4, 113-127, 2009.
- P.Ghelardoni-C.Magherini; BVMs for computing Sturm-Liouville symmetric potentials, Applied Mathematics and Computation, 217, 3032-3045, 2010.
- L.Aceto-P.Ghelardoni-C.Magherini; PGSCM: A family of P-stable Boundary Value Methods for second-order initial value problems, Journal of Computational and Applied Mathematics, 236, 3857-3868, 2012.
- L.Aceto-P.Ghelardoni-C.Magherini; Boundary Value Methods for the reconstruction of Sturm-Liouville potentials, Applied Mathematics and Computation, 219, 2960-2974, 2012.
Chi e' interessato ai reprints delle
pubblicazioni deve inviare una mail di richiesta