Baoqiang Yan

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Disk and network latency must be taken into account when applying parallel computing to large multidimensional datasets because they can hinder performance by reducing the rate at which data can be fed to the compute nodes. Existing methods aggregate some number of data requests from cluster nodes to improve overall performance by reducing the number of(More)
High performance parallel computing infrastructures, such as computing clusters, have recently become freely available for scientific researchers to solve problems of unprecedented scale through data parallelization. However scientists are not necessarily skilled in writing efficient parallel code, especially when dealing with spatial datasets. Two(More)
Recommended by Raul Manasevich Positive solutions to the singular initial-boundary value problems x −ft, x t , 0 < t < 1, x 0 0, x1 0, are obtained by applying the Schauder fixed-point theorem, where x t u xt u 0 ≤ t ≤ 1 on −r, 0 and f·, · : 0, 1 × C \{0}→R C {x ∈ C−r, 0, R, xt ≥ 0, ∀t ∈ −r, 0} may be singular at ϕu 0 −r ≤ u ≤ 0 and t 0. As an application,(More)
Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.