Cellphone evolution - applying evolution theory to an info-communication system

In this paper we propose the application of evolutionary principles in studying technological devices and processes. First we introduce the concepts of Darwinian evolution, which we use to draw an analogy with technology and show how human-made devices can be treated as evolving artificial agents. After explaining the methodology of reconstructing evolutionary history, we apply successfully the delineated principles and methodology to an infocommunication system: cellphones. By modeling a possible phylogenetic tree of mobile phones and exploring technological changes through time, we are able to show evolutionary trends and parallels with biological processes

An IMEX scheme combined with Richardson extrapolation methods for some reaction-diffusion equations

An implicit-explicit (IMEX) method is combined with some so-called Richardson extrapolation (RiEx) methods for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The results are applied to a model for determining the overpotential in a Proton Exchange Membrane (PEM) fuel cell

On modifications of continuous and discrete maximum principles for reaction-diffusion problems

In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods