In this paper we propose mathematical model for calculating XPS intensity distribution from the textured sample surface. The surface roughness is approximated using different 3D geometrical shapes (triangular prisms, cone-shaped rings). Analytical expressions for XPS intensity calculation are...

In this paper we examine the behaviour of stock returns in two emerging markets of China. These are the Shanghai and Shenzhen markets. It is found that both markets suffer from negative mean returns on Monday and Tuesday, but positive returns on Friday. In addition, we employ the bivariate GARCH...

In this paper use is made of the superconvergence property of the recovered derivatives of piecewise linear finite element solutions of Poisson problems to construct efficient and simple to use error estimators which have the desired property of being asymptotically exact on structured...

In this paper, we present a unified approach to computing sharp error estimates for approximate solutions of elliptic type boundary value problems in variational form. This approach is based on the duality theory of the calculus of variations which analyses the original (primal) variational...

Sufficient conditions are derived for the global asymptotic stability of the positive equilibrium of the coupled system of difference equations with distributed delays modelling the dynamics of two competing species with discrete generations. The conditions obtained are the same as in the...

This paper deals with the on-line estimation and optimal control of a biological wastewater treatment process. The objective of the control is to force the residual substrate and the dissolved oxygen concentrations to track a given reference model despite the disturbances and system parameter...

In this article we study the return transmission among stock markets in Greater China – Mainland China (Shanghai, Shenzhen), Hong Kong and Taiwan – a region which has been enjoying tremendous growth and expansion in the economies and capital markets in the last decade. Using a multiple time...

Inverse problems are considered for the linear one-way one-dimensional wave equation or transport equation. In particular the wave speed reconstruction problem for a medium is discussed. Inverse problems for non-stationary, but also non-dispersive, media are examined; this means problems for which...

The availability of an efficient, low-cost numerical simulator is essential in the design of fluid dynamic systems, both to achieve a deep understanding of the flow field and to allow a quick and economical optimization of the technical characteristics of industrial devices. With the aim of...

State analysis of time-varying singular nonlinear systems via Haar wavelets is proposed in this paper. Based upon some useful properties of Haar wavelets, a special product matrix and a related coefficient matrix are applied to the time-varying systems such that the state of time-varying...