Despite the accelerated deployment of laminated composites in a wide variety markets due to their peculiar engineering features, design those materials is often restrained by lack cost-efficient modeling techniques. In fact, existing strategies allowing for cheap simulations usually fail directly capture out-of-plane through-the-thickness stresses, which prove be typically responsible delaminat...

Park, Sohee. 2003. Lexical Collocation Use by Korean EFL College learners. SNU Working Papers in English Linguistics and Language 2, 19-40. This study investigated Korean EFL college students' lexical collocation use. The specific research questions were as follows: 1) Which factors affect the collocational competence?; 2) Which collocation types are the most problematic to Korean EFL college l...

This paper analyses a Chebyshev pseudospectral collocation semidiscrete (continuous in time) discretization of a variable coefficient parabolic problem. Optimal stability and convergence estimates are given. The analysis is based on an approximation property concerning the GaussLobatto-Chebyshev interpolation operator.

Uncertainties in biological tissue properties are weighed in the case of an hyperthermia calculation. Stochastic spectral and collocation methods are applied to analyze the impact of these uncertainties on the distribution of the electromagnetic power absorbed inside the body of a patient. They enable to realize sensitivity and uncertainty analyses more efficiently than when using a two level e...

In this paper, we develop an efficient statistical simulation technique based on stochastic collocation for silicon photonics process variations with non-Gaussian correlated random parameters. Our algorithm has achieved 57-times speedup compared with standard Monte-Carlo simulation. OCIS codes: 220.4241, 130.3120.

In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis in collocation method. Illustrative examples are included to demonstrate the validity and applicability of the technique.

In this Paper, we have proposed a new weighted residual method known as orthogonal collocation-based on mixed interpolation (OCMI). Mixed interpolation uses the classical polynomial approximation with two correction terms given in the form of sine and cosine function. By these correction terms, we can control the error in the solution. We have applied this approach to a non-linear boundary valu...

PURPOSE Palpation is used most commonly to assess tissue stiffness despite its well-known deficiencies. As an improvement, a mechanical technique known as ultrasonic indentation has been proposed. The purpose of this study was to compare the accuracy of 3 ultrasonic indentation techniques in quantifying bone displacement in a specially constructed tissue simulator. METHODS Three ultrasonic in...

A basic property of both polynomial and more general Tchebycheffian splines is that the associated B-spline collocation matrix has certain total positivity properties, and it is nonsingular if and only if well-known interlacing conditions hold. Using a technique from a recent paper of Mørken, we extend these results to L-splines. §