The increasing employment of collaborated and blended learning techniques in educational institutes indicate that this kind of solution maximizes investments whether the growth of students demands more resources and teachers. Collaboration is working together towards a common goal at different times (time flexibility), in different locations (spatial flexibility), at different companies and edu...

‎in this paper‎, ‎an approach based on statistical spline model (ssm) and collocation method is proposed to solve volterra-fredholm integral equations‎. ‎the set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎numerical results on some problems are given...

We introduce a method for learning to describe the attendant contexts of a given query for language learning. In our approach, we display phraseological information in the form of a summary of general patterns as well as lexical bundles anchored at the query. The method involves syntactical analyses and inverted file construction. At run-time, grammatical constructions and their lexical instant...

The importance of collocations for success in language learning is widely recognized. Concordancers, originally designed for linguists, are among the most popular tools for students to obtain, organize, and study collocations derived from corpora. This paper describes the design and development of a collocation learning system that is built from Wikipedia text and provides language learners wit...

The von-K arm an nonlinear, dynamic, partial differential system over rectangular domains is considered, and numerically solved using both the Chebyshev-collocation and Legendre-collocation methods for the spatial discretization and the implicit Newmark-b scheme combined with a non-linear fixed point algorithm for the temporal discretization. As the system is non-linear, involving operators of ...

In this paper, we propose a novel approach for detecting cussing-related offensive content in Twitter. Our approach exploits the lexical collocation of swearing language via statistical topic modeling on a huge Twitter corpus and detects offensive tweets with automatically generated features under a machine learning framework. Our approach performed stably and competitively under a variety of m...

Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differential equations with random inputs. To this end, stochastic Galerkin methods appear to be superior to other nonsampling methods and, in many cases, to several sampling methods. However, when the governing equations take complicated forms, numerical implementations of stochastic ...

The commonly used graded piecewise polynomial collocation method for weakly singular Volterra integral equations may cause serious round-off error problems due to its use of extremely nonuniform partitions and the sensitivity of such time-dependent equations to round-off errors. The singularity preserving (nonpolynomial) collocation method is known to have only local convergence. To overcome th...