In this paper we present numerical procedures for solving the two inverse Sturmâ€“Liouville problems known in the literature as the two-spectra and the half inverse problems. The method proposed looksâ€¦ (More)

This paper provides a new numerical strategy for solving fractional-in-space reactiondiffusion equations on bounded domains under homogeneous Dirichlet boundary conditions. Using the matrix transferâ€¦ (More)

It is important, when integrating numerically Hamiltonian problems, that the numerical methods retain some properties of the continuous problem such as the constants of motion and the time reversalâ€¦ (More)

Almost all numerical methods for solving conservative problems cannot avoid a more or less perceptible drift phenomenon. Considering that the drift would be absent on a periodic or quasi-periodicâ€¦ (More)

We present a rigorous analysis of the performance of some one-step discretization schemes for a class of PT-symmetric singular boundary eigenvalue problem which encompasses a number of differentâ€¦ (More)

The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q. Essentially, the associated characteristic polynomialâ€¦ (More)