Abstract. A local convergence rate is established for an orthogonal collocation method based on Radau quadrature applied to an unconstrained optimal control problem. If the continuous problem has a sufficiently smooth solution and the Hamiltonian satisfies a strong convexity condition, then the discrete problem possesses a local minimizer in a neighborhood of the continuous solution, and as the...

We analyze collocation methods for nonlinear homogeneous Volterra-Hammerstein integral equations with non-Lipschitz nonlinearity. We present different kinds of existence and uniqueness of nontrivial collocation solutions and we give conditions for such existence and uniqueness in some cases. Finally we illustrate these methods with an example of a collocation problem, and we give some examples ...

The paper repots on the reasult of a study was to describe form grammatical and lexical cohesion classification in narrative discourse class XII Indonesian textbooks. method providing data used this research is documentation with note-taking technique. analysis agih basic technique for direct elements (BUL) advanced techniques replace, lesap, insert techniques. Based conducted, it found that us...

The article explores the functioning of usual words and neologisms in German-language print media discourse as well mono- bilingual dictionaries. Particular attention is given to lexicographic contextual translation lexemes problem underrepresentation mass vocabulary. methods applied include semantic, contextual, corpus analysis. provides examples potential lexical difficulties which may be fac...

‎the main purpose of this paper is to study the numerical solution of nonlinear volterra integral equations with constant delays, based on the multistep collocation method. these methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. also, we analyze the convergence of the...

In this paper, we consider the use of techniques that lead naturally towards using distributional lexical semantics for the automatic construction of corpora-specific stop word lists. We propose and evaluate a method for calculating stop words based on collocation, frequency information and comparisons of distributions within and across samples. This method is tested against the Enron email cor...

The extraction of collocations from corpora has been actively worked on since the late eighties. However, so far, an important task of collocation processing, namely the semantic interpretation of the collocate, did not receive much attention, although the semantics of a given word when used as collocate very often varies from the semantics of this word when used in a free co-occurrence. In thi...

The application of collocation methods using spline basis functions to solve differential model equations has been in use for a few decades. However, the application of spline collocation to the solution of the nonlinear, coupled, partial differential equations (in primitive variables) that define the motion of fluids has only recently received much attention. The issues that affect the effecti...

there is insufficient rigorous research examining which features of efl/esl learners’ writing can be improved through their awareness/knowledge of collocation. this study, therefore, addressed this issue and examined the effect of this awareness on iranian efl learners’ writing performance with respect to the specific features of each writing sub-component (i.e., content, organization, vocabula...