In this column, we take break from our ongoing discussion of the CORBA Messaging specification to cover collocation, which is an important topic for component-based application developers. Collocation is a technique for transparently optimizing communication overhead when clients and servants are configured into the same address space. For instance, Microsoft COM [1] applications frequently use...

We present a collocatIon method based on piecewise cubic polynomials I In C for solving various Integral and differential equatIons. Two new methods for handling curved boundaries are discussed based on collocation and discrete least-squares. Finally, a summary of the properties of the collocation method Is given which IndIcates the simplicity, flexlbl1fty, efficiency, and generality of the met...

In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From the general theory two broad approaches are derived, which yield the direct and the indirect TH-collocation methods. The former approach had not been published before, and it is a dual of the indirect...

Nowadays, spaceborne Synthetic Aperture Radar (SAR) has become a powerful tool for providing significant wave height (SWH). Traditionally, validation of SAR derived SWH has been carried out against buoy measurements or model outputs, which only yield an inter-comparison, but not an “absolute” validation. In this study, the triple collocation error model has been introduced in the validation of ...

In this paper, a well-conditioned collocation method is constructed for solving general p-th order linear differential equations with various types of boundary conditions. Based on a suitable Birkhoff interpolation, we obtain a new set of polynomial basis functions that results in a collocation scheme with two important features: the condition number of the linear system is independent of the n...

We propose a discrete collocation method for the boundary integral equations which arise from solving Laplace's equation u = 0. The Laplace's equation is deened on connected regions D in R 3 with a smooth boundary S. The piecewise polynomial interpolation in the parametrization variables along with the collocation method is used, and a numerical integration scheme for collocation integrals is g...

This article investigates the stability of the collocation method for the Radiosity equation. We introduce graded meshes and trial spaces of piecewise poynomials and prove stability for some modified collocation method. Next we show that graded meshes are necessary, even for linear convergence. The generation of triangulations which allow higher order approximations leads to geometrical problem...

This study evaluates the impact of integrating two different collocation segmentations methods in a standard phrase-based statistical machine translation approach. The collocation segmentation techniques are implemented simultaneously in the source and target side. Each resulting collocation segmentation is used to extract translation units. Experiments are reported in the English-to-Spanish Bi...

Collocation and colligation are two closely related concepts associated with the distributional properties of linguistic items in actual language use. Specifically, collocation and colligation refer to the likelihood of co-occurrence of (two or more) lexical items and grammatical categories, respectively. Both terms have been attributed to J. R. Firth (1957: 194–195; 1968: 181–183; see Östman a...