Hatem M. Khalil

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Computer science is a young field whic h is undergoing rapid change compared t o more established academic disciplines. This movement has led to a variety o f curricular approaches. Moreover, th e different environments in which compute r science has grown up. and the sundr y research interests of faculties ha s encouraged different courses of study. and(More)
This session includes three papers related to the development of algorithms for mathematical software. The first paper reports on efforts to develop software for evaluation of the square root function in microprocessors utilizing fixed point computation. The second describes the use of a simple Fortran precompiler which facilitates the use of a mathematical(More)
POFF computes the probability of F values no greater than some assigned value. The method of evaluation is based on expressing the probability function in a simple algebraic form which is evaluated as a nested polynomial. In this respect it differs from Algorithm 322 [1] which computes the same function by recurrences. A comparison of their efficiency shows(More)
OBJECTIVE Clinico-audiological and CT scan assessments of the contralateral ear in patients with unilateral cholesteatoma can be a good predictive method for the fate of these ears. MATERIAL AND METHODS Fifty patients with unilateral cholesteatoma and 25 control subjects with bilateral normal ears were subjected to otomicroscopical and audiological(More)
element in the ith row and jth column ofM(A, B). In general, for large values of Nn the problem of determining the eigenvalues and eigenvectors can only be solved by extensive calculation. For special classes of matrices M, of the type we shall consider, the eigenvalues and eigenvectors can be found explicitly • To motivate our specialization we remark that(More)
We review current work in analytic computational complexity of sequential algorithms for partial differential equations. Included are studies which analyze and compare classes of algorithms for hyperbolic, elliptic and parabolic problems. Emphasis is on the criteria and techniques used to perform the analysis and comparisons.
Symbolic computation has been used to generate classes of numeric algorithms for solving linear partial differential equations A two-phase procedure is described for automatically producing multiparameter families of difference approximations to the heat operator. In the first phase, a truncated series expansion is used to form the appropriate difference(More)
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