Critical behavior of a three-dimensional hardcore-cylinder composite system

In this work the critical indices β, γ , and ν for a three-dimensional (3D) hardcore cylinder composite system with short-range interaction have been obtained. In contrast to the 2D stick system and the 3D hardcore cylinder system, the determined critical exponents do not belong to the same universality class as the lattice percolation,although they obey the common hyperscaling relation for a 3D system. It is observed that the value of the correlation length exponent is compatible with the predictions of the mean field theory. It is also shown that, by using the Alexander-Orbach conjuncture, the relation between the conductivity and the correlation length critical exponents has a typical value for a 3D lattice system.

Eigenvalue computations in the context of data-sparse approximations of integral operators

In this work, we consider the numerical solution of a large eigenvalue problem resulting from a finite rank discretization of an integral operator. We are interested in computing a few eigenpairs, with an iterative method, so a matrix representation that allows for fast matrix-vector products is required. Hierarchical matrices are appropriate for this setting, and also provide cheap LU decompositions required in the spectral transformation technique. We illustrate the use of freely available software tools to address the problem, in particular SLEPc for the eigensolvers and HLib for the construction of H-matrices. The numerical tests are performed using an astrophysics application. Results show the benefits of the data-sparse representation compared to standard storage schemes, in terms of computational cost as well as memory requirements.

Error bounds for low-rank approximations of the first exponential integral kernel

A hierarchical matrix is an efficient data-sparse representation of a matrix, especially useful for large dimensional problems. It consists of low-rank subblocks leading to low memory requirements as well as inexpensive computational costs. In this work, we discuss the use of the hierarchical matrix technique in the numerical solution of a large scale eigenvalue problem arising from a finite rank discretization of an integral operator. The operator is of convolution type, it is defined through the first exponential-integral function and, hence, it is weakly singular. We develop analytical expressions for the approximate degenerate kernels and deduce error upper bounds for these approximations. Some computational results illustrating the efficiency and robustness of the approach are presented.

INTEGRATED MANAGEMENT SYSTEMS: CRITICAL SUCCESS FACTORS

The purpose of this paper is to, in a holistic way, identify and explore the critical success factors (CSFs) that are considered in the context of the growing discussions, movements, proposed models, and case studies about the integration of management systems (MSs). This work is an investigation focused on the integration of MSs into an integrated management system (IMS) and the proposed approach takes into account the literature review as well as the experience gained by the authors on researches about Portuguese enterprises. This qualitative and empirical research, investigated the integration of MSs from existing scientific publications for the period 1999 to 2014, on-going case studies and one inquiry conducted by the authors. This research contributes to a better understanding of the CSFs regarding the integration of MSs and thus provides an insight on the preventive management. This research shows an evident lack of information regarding case studies on CSFs for integrated management systems (IMSs) and has identified a set of relevant CSFs, for MSs integration and associated guidelines that organizations should take as a priority, in order to be able to manage, on a preventive way, the implementation of IMSs, and consequently to become more competitive with added value for the stakeholders.