Uncertainties in biological tissue properties are weighed in the case of an hyperthermia calculation. Stochastic spectral and collocation methods are applied to analyze the impact of these uncertainties on the distribution of the electromagnetic power absorbed inside the body of a patient. They enable to realize sensitivity and uncertainty analyses more efficiently than when using a two level e...

Periodic Lyapunov differential equations can be used to formulate robust optimal periodic control problems for nonlinear systems. Typically, the added Lyapunov states are discretized in the same manner as the original states. This straightforward technique fails to guarantee conservation of positive-semidefiniteness of the Lyapunov matrix under discretization. This paper describes a discretizat...

We consider solitary wave solutions of the generalized equal width (GEW) wave equation ut + εuux − δuxxt = 0. This paper presents a collocation method for the GEW equation, which is classified as a nonlinear PDE using quadratic B-splines at midpoints as element shape functions. In this research, the scheme of the equation under investigation is found to be unconditionally stable. Test problems ...

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...

Our main objective in participating MUC-7 is to investigate and experiment with the use of collocation statistics in information extraction. A collocation is a habitual word combination, such as \weather a storm", \ le a lawsuit", and \the falling yen". Collocation statistics refers to the frequency counts of the collocational relations extracted from a parsed corpus. For example, out of 6577 i...

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 ...

Two methods of evaluation of semantic similarity/dissimilarity of English nouns are proposed based on their modifier sets taken from Oxford Collocation Dictionary for Student of English. The first method measures similarity by the portion of modifiers commonly applicable to both nouns under evaluation. The second method measures dissimilarity by the change of the mean value of cohesion between ...

In this paper, we propose a new contextdependent SMT model that is tightly coupled with a language model. It is designed to decrease the translation ambiguities and efficiently search for an optimal hypothesis by reducing the hypothesis search space. It works through reciprocal incorporation between source and target context: a source word is determined by the context of previous and correspond...

the purpose of this study is to present an approximate numerical method for solving high order linear fredholm-volterra integro-differential equations in terms of rational chebyshev functions under the mixed conditions. the method is based on the approximation by the truncated rational chebyshev series. finally, the effectiveness of the method is illustrated in several numerical examples. the p...