This paper reports a new spectral collocation algorithm for solving time-space fractional partial differential equations with subdiffusion and superdiffusion. In this scheme we employ the shifted Legendre Gauss-Lobatto collocation scheme and the shifted Chebyshev Gauss-Radau collocation approximations for spatial and temporal discretizations, respectively. We focus on implementing the new algor...

The change in orbit evolution between collocated satellites (X, Y) inside +/-0.09° E/W and +/0.07° N/S cluster, after one of these satellites is placed in an inclined orbit (satellite X) and the effect of this change in the collocation safety inside the cluster window has been studied and evaluated. Several collocation scenarios had been studied in order to adjust the location of both satellite...

We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time. To approximate such solutions (and the corresponding blow-up time), we will introduce an adaptive stepsize strategy that guarantees the existence of collocation solutions whose blow-up behavior is the same as the one for the e...

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 to describ...

The work presented provides computational linguistics methods and tools for collocation identiication from arbitrary text, and methods and tools for representing collocations in a relational database integrating competence (collocation-type-speciic linguistic analysis) and performance information (corpus sentences). The work diiers from existing approaches to collo-cation identiication in syste...

Techniques in the family of weighted residual methods; the orthogonal collocation, Galerkin, tau, and least-squares methods, are adopted to solve a non-linear and highly coupled pellet problem. Based on a residual measure and problem matrix condition numbers, the Galerkin and tau methods are favorable solution techniques for the pellet equations. On the other hand, the orthogonal collocation is...

The goal of data mining is to discover nuggets. Spatial data mining discovers collocation rules. Especially in spatial data mining, when spatial data is relatively represented with time series, a spatio-temporal significance is inferred. In this context the collocation rule that is a quintessence for the spatial data, obtains changes to its size and shape with temporal influence. Thus, the chan...

This article looks at the impact of collocation on the effectiveness of information system development teams. The research objective was to investigate which features of the collocation environment have the greatest influence on team effectiveness and how these can assist in a better design for a collocation working environment. The empirical foundation for this research was a number of agile s...

Syntactic configurations used in collocation extraction are highly divergent from one system to another, this questioning the validity of results and making comparative evaluation difficult. We describe a corpus-driven approach for inferring an exhaustive set of configurations from actual data by finding, with a parser, all the productive syntactic associations, then by appealing to human exper...

This paper presents a status quo of an ongoing research study of collocations – an essential linguistic phenomenon having a wide spectrum of applications in the field of natural language processing. The core of the work is an empirical evaluation of a comprehensive list of automatic collocation extraction methods using precision-recall measures and a proposal of a new approach integrating multi...