nanocomposite materials have recently attracted increasing interests in the field of modelling. finite element modelling can be used for computation of bulk properties of polymer/clay nanocomposites. in this study, by   considering the structure of a nano-composite material, a quasi real model is proposed. the model has been used to predict the elastic constants by selection of suitable element...

This study is focused on the automatic modelling of linear dynamical systems based on system output observations. Identification of a differential equation degree and its parameters requires the initial point because the output of the dynamical system for the given input depends on the initial point value. Generally, it is impossible to estimate the system state and its derivatives using the ob...

 In this paper, we present "a posteriori" analysis of the fundamental concepts involved in the modelling of problems of mathematical physics by Partial Differential Equations (PDEs). Our aim is to improve our students' understanding of PDEs when applied to an engineering problem, from a completely qualitative point of view. They should be able to understand the deep meaning of any Laplacian, c...

We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a continuous time, discrete individual-centered population process. Taking the large population and rare mutations limits under a well-chosen time-scale separation condition, we obtain a jump process that generalizes the Trait Substitution Sequence process describing A...

We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a continuous time, discrete individual-centered population process. Taking the large population and rare mutations limits under a well-chosen time-scale separation condition, we obtain a jump process that generalizes the Trait Substitution Sequence process describing A...

nanofiltration-based separation processes have found diverse applications in industrial and environmentalproblems recently, due to several advantages such as lower energy requirement and elevated flux ratescompared with their reverse osmosis (ro) counterparts. several attempts have been made for modellingnf-based separation processes ranging from rigorous space-charge approaches to simpler irre...