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- Caisheng Ji, Baoqiang Yan
- 2010

In this article, we study the existence and uniqueness of the positive solution for a second-order singular three-point boundary-value problem with sign-changing nonlinearities. Our main tool is a fixed-point theorem.

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)

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)

- Fengfei Jin, Baoqiang Yan
- 2008

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)

— We describe IDEA, an API designed specifically for the parallel processing of large spatial datasets on a cluster. Because such datasets present special challenges for efficient I/O and communication, it is especially valuable to provide an API that frees the user from the burden of partitioning the data among the processors. IDEA allows the user to… (More)

- Ya Ma, Baoqiang Yan
- 2009

Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem x (t) + a(t)f (t, x(t), x (t)) = 0, 0 < t < 1, x (0) = 0, x(1) = m−2 i=1 α i x(ξ i), m−2 i=1 α i < 1 and f may change sign and may be singular at x = 0 and x = 0.