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Summary of challenges relevant to refugees’ education in Jordan
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Stochastic Development Regression on Non-Linear Manifolds
We introduce a regression model for data on non-linear manifolds. The model
describes the relation between a set of manifold valued observations, such as
shapes of anatomical objects, and Euclidean explanatory variables. The approach
is based on stochastic development of Euclidean diffusion processes to the
manifold. Defining the data distribution as the transition distribution of the
mapped stochastic process, parameters of the model, the non-linear analogue of
design matrix and intercept, are found via maximum likelihood. The model is
intrinsically related to the geometry encoded in the connection of the
manifold. We propose an estimation procedure which applies the Laplace
approximation of the likelihood function. A simulation study of the performance
of the model is performed and the model is applied to a real dataset of Corpus
Callosum shapes
An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
This paper is concerned with the numerical solution of the third kind
Volterra integral equations with non-smooth solutions based on the recursive
approach of the spectral Tau method. To this end, a new set of the fractional
version of canonical basis polynomials (called FC-polynomials) is introduced.
The approximate polynomial solution (called Tau-solution) is expressed in terms
of FC-polynomials. The fractional structure of Tau-solution allows recovering
the standard degree of accuracy of spectral methods even in the case of
non-smooth solutions. The convergence analysis of the method is studied. The
obtained numerical results show the accuracy and efficiency of the method
compared to other existing methods
Ecoulement et érosion sur le bassin versant de l'oued El Hissiane (campagnes 1989-90 et 1990-91)
Analyse de la pluie à l'échelle journalière, mensuelle et annuelle sur le bassin versant de l'oued el Hissiane. Analyse de l'écoulement à l'échelle de l'averse, étude des transports solides et en suspension. Caractéristiques des crues et bilan hydrologique annuel sur les 5 bassins versants. (Résumé d'auteur
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