RESEARCH PROJECT
Numerical Methods and Software for Differential Equations

TARGET: Numerical methods for Sturm-Liouville problems



Papers:
  1. L.Aceto, P.Ghelardoni, C.Magherini. BVMs for Sturm-Liouville eigenvalue estimates with general boundary conditions. Jour. Numer. Anal. Ind. Appl. Math. 4, 1-2 (2009) 113-127.
  2. P.Ghelardoni, C.Magherini. BVMs for computing Sturm-Liouville symmetric potentials.  Appl. Math. Comput. 217 (2010), 3032-3045, doi: 10.1016 /j.amc.2010.08.036.
  3. P. Amodio, G. Settanni. High order finite difference schemes for the numerical solution of eigenvalue problems for IVPs in ODEs. AIP Conference Proceedings 1281(2010) 202-204. (doi: 10.1063/1.3498344)
  4. L.Aceto, C.Magherini, M.Marletta. Shooting methods for a PT-symmetric periodic eigenvalue problem. Numerical Algorithms (in press).
  5. L.Aceto, P.Ghelardoni, C.Magherini. PGSCM: a family of P-stable Boundary Value Methods for second-order initial value problems.  (submitted).


Communications:

  1. P.Amodio. High order finite difference schemes for the numerical solution of eigenvalue problems for IVP-ODEs. ICNAAM 2010, Rhodes (Greece) 19-25 September, 2010.