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)

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)

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)

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)

Abstract. In this paper we consider the time dependent one-dimensional SchrÃ¶dinger equation with multiple Dirac delta potentials of different positive strengths. We prove that the classicalâ€¦ (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)

We consider a convection-diffusion model with linear fractional diffusion in the subcritical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropyâ€¦ (More)