The equation u t =Δu+u p with homogeneous Dirichlet boundary conditions has solutions with blow-up if p>1. An adaptive time-step procedure is given to reproduce the asymptotic behavior of the… (More)

We find a bound for the modulus of continuity of the blow-up time for the semilinear parabolic problem ut = ∆u + |u|u, with respect to the initial data.

In this paper we study the asymptotic behaviour of a semidiscrete numerical approximation for the heat equation, ut = ∆u, in a bounded smooth domain, with a nonlinear flux boundary condition at the… (More)

The best Sobloev trace constant is given by the first eigenvalue of a Steklov-like problem. We deal with minimizers of the Rayleigh quotient ‖u‖2 H1(Ω) /‖u‖2 L2(∂Ω) for functions that vanish in a… (More)

We present adaptive procedures in space and time for the numerical study of positive solutions to the following problem, ut(x, t) = (u)xx(x, t) (x, t) ∈ (0, 1)× [0, T ), (u)x(0, t) = 0 t ∈ [0,… (More)

Many classical multivariate statistical process monitoring (MSPM) techniques assume normal distribution of the data and independence of the samples. Very often, these assumptions do not hold for real… (More)

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on… (More)

In this paper we present adaptive procedures for the numerical study of positive solutions of the following problem, ut = uxx (x, t) ∈ (0, 1)× [0, T ), ux(0, t) = 0 t ∈ [0, T ), ux(1, t) =… (More)

We propose a density-based estimator for weighted geodesic distances suitable for data lying on a manifold of lower dimension than ambient space and sampled from a possibly nonuniform distribution.… (More)