In this thesis, we integrate the particular solutions of singularly perturbed partial differential equations into radial basis collocation method to solve two kinds of boundary layer problem.

Thesis (M.S.)--Boise State University, 2009. / Includes abstract. Includes bibliographical references (leaf 34).

published_or_final_version / Mechanical Engineering / Master / Master of Philosophy

Thesis (M. Phil.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 174-189).

Thesis (M.S.)--Boise State University, 2009. / Title from t.p. of PDF file (viewed Apr. 30, 2010). Includes abstract. Includes bibliographical references (leaf 34).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1984. / Typescript. Vita. Description based on print version record. Includes bibliographical references (leaves 224-232).

This study tests the hypothesis that frequency and collocational association make independent contributions to the processing time of English multiword collocational, phrases for L1 and L2 English speakers. The results suggest that these constructs do play a role in the processing of 4-word, corpus-extracted phrases. In this sample, L1 speakers demonstrated reduced processing time for both highly frequent and highly associated phrases, while L2 speakers demonstrated reduced processing time for highly frequent phrases. Evidence exists in the data that highly proficient L2 speakers may develop similar patterns of reduced processing time as L1 speakers. Additionally, some L1 speakers did not show the sensitive to higher levels of association typical of this group. Understanding these contributions has the potential to elucidate the most useful targets of phrasal instruction for ESOL students and the psychological mechanisms of associative learning.

No description available.

Abstract This thesis summarizes certain boundary element methods applied to some initial and boundary value problems. Our model problem is the two-dimensional homogeneous heat conduction problem with vanishing initial data. We use the heat potential representation of the solution. The given boundary conditions, as well as the choice of the representation formula, yield various boundary integral equations. For the sake of simplicity, we use the direct boundary integral approach, where the unknown boundary density appearing in the boundary integral equation is a quantity of physical meaning. We consider two different sets of boundary conditions, the Dirichlet problem, where the boundary temperature is given and the Neumann problem, where the heat flux across the boundary is given. Even a nonlinear Neumann condition satisfying certain monotonicity and growth conditions is possible. The approach yields a nonlinear boundary integral equation of the second kind. In the stationary case, the model problem reduces to a potential problem with a nonlinear Neumann condition. We use the spaces of smoothest splines as trial functions. The nonlinearity is approximated by using the L2-orthogonal projection. The resulting collocation scheme retains the optimal L2-convergence. Numerical experiments are in agreement with this result. This approach generalizes to the time dependent case. The trial functions are tensor products of piecewise linear and piecewise constant splines. The proposed projection method uses interpolation with respect to the space variable and the orthogonal projection with respect to the time variable. Compared to the Galerkin method, this approach simplifies the realization of the discrete matrix equations. In addition, the rate of the convergence is of optimal order. On the other hand, the Dirichlet problem, where the boundary temperature is given, leads to a single layer heat operator equation of the first kind. In the first approach, we use tensor products of piecewise linear splines as trial functions with collocation at the nodal points. Stability and suboptimal L2-convergence of the method were proved in the case of a circular domain. Numerical experiments indicate the expected quadratic L2-convergence. Later, a Petrov-Galerkin approach was proposed, where the trial functions were tensor products of piecewise linear and piecewise constant splines. The resulting approximative scheme is stable and convergent. The analysis has been carried out in the cases of the single layer heat operator and the hypersingular heat operator. The rate of the convergence with respect to the L2-norm is also here of suboptimal order.

The study of swearing has increased in the last decade, diversifying to include a wider range of data and methods of analysis. Nevertheless, certain types of data and specifically large corpora of computer mediated communication (CMC) have not been studied extensively. In this paper, we fill a gap in research by studying the use of swearwords in blog data, and illustrate ways of identifying swearing in a large corpus by taking context into account. This approach, based on the examination of shared and unique collocates of known expletives, facilitates the distinction of attestations of swearing from non-swearing in the case of polysemous lexemes, and the analysis of overlaps in usage and meaning of swearwords. This work therefore goes beyond basic sentiment analysis and offers new insights into the use of collocation for refining profanity filters, providing innovative perspectives on issues of growing importance as online interaction becomes more widespread.