4 citations · 4 across the 4 of their papers we have counts for
7 papers
Weakly regular Sturm-Liouville problems: a corrected spectral matrix method
Cecilia Magherini
In this paper, we consider weakly regular Sturm-Liouville eigenproblems with unbounded potential at both endpoints of the domain. We propose a Galerkin spectral matrix method for i…
A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint
Cecilia Magherini
In this paper, we shall derive a spectral matrix method for the approximation of the eigenvalues of (weakly) regular and singular Sturm-Liouville problems in normal form with an un…
A matrix method for fractional Sturm-Liouville problems on bounded domain
Paolo Ghelardoni, Cecilia Magherini
A matrix method for the solution of direct fractional Sturm-Liouville problems on bounded domain is proposed where the fractional derivative is defined in the Riesz sense. The sche…
On the construction of -step methods for FDEs
Lidia Aceto, Cecilia Magherini, Paolo Novati
In this paper we consider the numerical solution of Fractional Differential Equations by means of -step recursions. The construction of such formulas can be obtained in many way…
Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain
Lidia Aceto, Cecilia Magherini, Ewa B. Weinmüller
In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schrödinger equation posed on a semi-infinite interval. The original problem is f…
Efficient implementation of Radau collocation methods
L. Brugnano, F. Iavernaro, C. Magherini
In this paper we define an efficient implementation of Runge-Kutta methods of Radau IIA type, which are commonly used when solving stiff ODE-IVPs problems. The proposed implementat…