We consider semidiscrete approximation schemes for the linear SchrÃ¶dinger equation and analyze whether the classical dispersive properties of the continuous model hold for these approximations. Forâ€¦ (More)

In this paper we analyze the large time asymptotic behavior of the discrete solutions of numerical approximation schemes for scalar hyperbolic conservation laws. We consider three monotoneâ€¦ (More)

We study the asymptotic behavior for solutions to nonlocal diffusion models of the form ut = J âˆ— u âˆ’ u in the whole R with an initial condition u(x, 0) = u0(x). Under suitable hypotheses on Jâ€¦ (More)

In this paper we consider the SchrÃ¶dinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We give an explicit description of the solution of theâ€¦ (More)

Noise pollution is one of the most important problems of the contemporary world. Dentistry is one of the most affected areas because the activity in a dental practice involves the use of differentâ€¦ (More)

We consider fully discrete schemes for the one dimensional linear SchrÃ¶dinger equation and analyze whether the classical dispersive properties of the continuous model are presented in theseâ€¦ (More)

We analyze the problem of boundary observability of the finite-difference space semi-discretizations of the 2-d wave equation in the square. We prove the uniform (with respect to the mesh size)â€¦ (More)