نتایج جستجو برای Collocation

تعداد نتایج: 3526  

Journal: :J. Computational Applied Mathematics 2015
Neville J. Ford, Maria Luísa Morgado, Magda Rebelo,

In this paper we propose a non-polynomial collocation method for solving a class of terminal (or boundary) value problems for differential equations of fractional order α, 0 < α < 1. The approach used is based on the equivalence between a problem of this type and a Fredholm integral equation of a particular form. Taking into account the asymptotic behaviour of the solution of this problem, we p...

2001
Bowen Hui,

Current lexical semantic theories provide representations at a coarse grained level. In this paper, I will provide motivations for a fine grained representation for verbs and. nouns. An initial case study is done to serve as evidence that a more detailed representation is needed for tasks that require high accuracy rates, such as machine translation. An automatic approach to gather fine grained...

2006
H. Y. Hu, J. S. Chen,

This work introduces the weighted radial basis collocation method for boundary value problems. We first show that the employment of least-squares functional with quadrature rules constitutes an approximation of the direct collocation method. Standard radial basis collocation method, however, yields a larger solution error near boundaries. The residuals in the least-squares functional associated...

2007
Nikolaos K. Anagnostou, George R S Weir,

The present paper elaborates the nature of the Average Collocation Frequency and proposes specific roles for this measure. In addition to its potential as a factor in gauging readability, we propose that the ACF affords a practical measure for estimating the language complexity of texts for use in English language teaching. Particularly, in the context of English as a Second Language, collocati...

2003
G. Pittaluga, E. Venturino,

We propose and analyze a numerical method for solving fourth order differential equations modelling two point boundary value problems. The scheme is based on B-splines collocation. The error analysis is carried out and convergence rates are derived.

2010
Peter A. Markowich, Christian A. Ringhofer, PETER A. MARKOWICH, CHRISTIAN A. RINGHOFER,

This paper deals with the numerical solution of boundary value problems of ordinary differential equations posed on infinite intervals. We cut the infinite interval at a finite, large enough point and insert additional, so-called asymptotic boundary conditions at the far (right) end and then solve the resulting two-point boundary value problem by an /1-stable symmetric collocation method. Probl...

2001
John Elliott, Eric Atwell, Bill Whyte,

Research in generic unsupervised learning of language structure applied to the Search for ExtraTerrestrial Intelligence (SETI) and decipherment of unknown languages has sought to build up a generic picture of lexical and structural patterns characteristic of natural language. As part of this toolkit a generic system is required to facilitate the analysis of behavioural trends amongst selected p...

1997
CHARLES A. McCARTHY,

This note is inspired by the paper of Bialecki, Fairweather, and Bennett [1] which studies a method for the numerical solution of u00 = f on an interval, and u = f on a rectangle, with zero boundary data; their scheme calculates that C piecewise cubic U for which U 00 (or U) agrees with f at the two (or four) Gauss quadrature points of each subdivision of the original domain. They observe that ...

1997
David Levin,

A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions J,.(rx) with a large oscillation frequency parameter r, as well as for many other oneand multi-dimensional integrals of functions with rapid irregular oscillations. The analysis provides a convergence rate and it shows that the relative ...

Journal: :J. Comput. Physics 2016
Yujian Jiao, Li-Lian Wang, Can Huang,

The purpose of this paper is twofold. Firstly, we provide explicit and compact formulas for computing both Caputo and (modified) Riemann-Liouville (RL) fractional pseudospectral differentiation matrices (F-PSDMs) of any order at general Jacobi-Gauss-Lobatto (JGL) points. We show that in the Caputo case, it suffices to compute F-PSDM of order μ ∈ (0, 1) to compute that of any order k + μ with in...

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