Now showing items 1-5 of 5

• #### Approximating travelling waves by equilibria of non-local equations ﻿

(Asymptotic Analysis, 2012-12-31)
We consider an evolution equation of parabolic type in R having a travelling wave solution. We study the effects on the dynamics of an appropriate change of variables which transforms the equation into a non-local evolution ...
• #### Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis ﻿

(IMA Journal of Numerical Analysis, 2016-01-01)
We build nonuniform numerical meshes for the finite difference and finite element approximations of the one-dimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ...
• #### Numerical simulation of a susceptible-exposed-infectious space-continuous model for the spread of rabies in raccoons across a realistic landscape ﻿

(Journal of Biological Dynamics, 2013-12-31)
We introduce a numerical model for the spread of a lethal infectious disease in wildlife. The reference model is a Susceptible-Exposed-Infectious system where the spatial component of the dynamics is modelled by a diffusion ...
• #### A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation ﻿

(ESAIM: Mathematical Modelling and Numerical Analysis, 2017-06-01)
In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1-L^p$ decay rates. The asymptotic behavior of the solution is ...
• #### Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type ﻿

We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$. Here $\mathcal{L}^\mu$ ...