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...

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. §

In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. application of proposed leads equation to system algebraic equations that are easy solve. Some examples presented and compared with some methods in literature illustrate ability technique. results demonstrate more efficient, convergent, accurate exa...