NDLI: On a high-order compact scheme and its utilization in parallel solution of a time-dependent system on a distributed memory processor

Content Provider	Springer Nature Link
Author	Akpan, Okon H.
Copyright Year	2008
Abstract	The focus of this study is the design of a parallel solution method that utilizes a fourth-order compact scheme. The applicability of the method is demonstrated on a time-dependent parabolic system with Neumann boundaries. The core of the parallel computing facilities used in the study is a 2-head-node, 224-compute-node Apple Xserve G5 multiprocessor. The system is first discretized in both time and space such that it remains in its stability regimes, before being solved with the method. The solution requires time marching in which every time step, h$_{ t }$, calls for a single parallel solve of the intermediary subsystems generated. The solution uses p processors ranging in numbers from 3 to 63. The speedups, s $_{ p }$, approach their limiting value of p only when p is small. The solution produces good computational results at large p, but poor results as p becomes progressively small. Also, the parallel solution produces accurate results yielding good speedups and efficiencies only when p is within some reasonable range of values. The intermediary systems generated by this method are linear and fine-grained, therefore, they are best suited for solution on massively-parallel processors. The solution method proposed in this study is, therefore, expected to yield more impressive results if applied in a massively-parallel computing environment.
Starting Page	410
Ending Page	419
Page Count	10
File Format	PDF
ISSN	09208542
Journal	The Journal of Supercomputing
Volume Number	60
Issue Number	3
e-ISSN	15730484
Language	English
Publisher	Springer US
Publisher Date	2008-08-23
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fourth order compact scheme Parallel computing Distributed memory supercomputer Massively parallel processor Programming Languages, Compilers, Interpreters Processor Architectures Computer Science
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Information Systems Hardware and Architecture Software

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