In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...

INTRODUCTION Assessing left ventricular (LV) systolic function in a rapid and reliable way can be challenging in the critically ill patient. The purpose of this study was to evaluate the feasibility and reliability of, as well as the association between, commonly used LV systolic parameters, by using serial transthoracic echocardiography (TTE). METHODS Fifty patients with shock and mechanical...

The primary objective of this paper is to conceptualize and develop an approach to capture product data semantics for the integration of engineering applications in a design/analysis domain by building engineering ontologies and metadata. In this paper, we introduce our method of building ontologies, and using metadata to link product data to the concepts in ontologies. We present a method of c...

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first o give a general formulation, interms of fluxional calculus,...

This paper describes the systematic design method for Product-Service Systems (PSS) where service and product elements are integrated using affordances. In the PSS design method, a service element is composed of the activities from the service blueprint and the functions from the function analysis. The service elements contain the service providers and receivers and their activities and are to ...

In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution o...

Abstract The goal of this paper is to determine if there product market integration in the euro area (EA). employs LM and RALS-LM unit root tests with two breaks on relative price series, constructed using seasonally adjusted monthly Harmonized Index Consumer Prices (HICP), from 1996:01 2017:05. analysis shows EA-accession related series for most EA11 countries, but, apart Malta, no such later-...