This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving elliptic partial differential equations with random coefficients and forcing terms (input data of the model). The method consists of a Galerkin approximation in the space variables and a collocation, in probability space, on sparse tensor product grids utilizing either Clenshaw-Curtis or Gaussia...

A number of authors (Lewis 1993, 1997, 2000, Woolard 2001, Thornbury 2002) writing for English language teachers have argued that collocations are arbitrary and therefore there is no point in attempting to explain them to foreign language learners in the classroom. It is my impression that these writers have been very influential with the result that this view of collocation is firmly entrenche...

Lexical approaches to Academic and Technical English have been well documented by scholars from as early as Cowie (1978). More recent work demonstrates how computer technology can assist in the effective analysis of corpus-based data (Cowie, 1998; Pedersen, 1995; Scott, 2000). For teaching purposes, this recent research has shown that the distinction between common coreness and diversity is a c...

This work proposes and analyzes a sparse grid stochastic collocation method for solving elliptic partial differential equations with random coefficients and forcing terms (input data of the model). This method can be viewed as an extension of the Stochastic Collocation method proposed in [Babuška-Nobile-Tempone, Technical report, MOX, Dipartimento di Matematica, 2005] which consists of a Galerk...

BACKGROUND Hospitalists provide much of the clinical teaching in internal medicine, yet formative feedback to improve their teaching is rare. METHODS We developed a peer observation, assessment, and feedback program to improve attending hospitalist teaching. Participants were trained to identify 10 optimal teaching behaviors using a structured observation tool that was developed from the vali...

This paper aims to analyze the application strategies of Cognitive Linguistics in English vocabulary teaching. In 1970s and 1980s, emerged as a prominent theoretical framework, providing new support for first introduces basic concepts principles Linguistics. Then, it discusses how can be applied promote acquisition, including use prototype, conceptual metaphor image schema. Based on literature ...