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Space exploration using parallel orbits : a study in parallel symbolic computing

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Hammond_2013_IOS_Space_AccMan.pdf (168.1Kb)
Date
09/2013
Author
Janjic, Vladimir
Brown, Christopher Mark
Neunhoeffer, Max
Hammond, Kevin
Linton, Stephen Alexander
Loidl, Hans-Wolfgang
Funder
European Commission
EPSRC
Grant ID
FP&-ICT-2011-7
EP/G055181/1
Keywords
Symbolic computation
Orbit calculation
Skeleton
Parallelism
QA75 Electronic computers. Computer science
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Abstract
Orbit enumerations represent an important class of mathematical algorithms which is widely used in computational discrete mathematics. In this paper, we present a new shared-memory implementation of a generic Orbit skeleton in the GAP computer algebra system [5]. By defining a skeleton, we are easily able to capture a wide variety of concrete Orbit enumerations that can exploit the same underlying parallel implementation. We also propose a generic cost model for predicting the speedups that our Orbit skeleton will deliver for a given application on a given parallel system. We demonstrate the scalability of our implementation on a 64-core shared-memory machine. Our results show that we are able to obtain good speedups over sequential GAP programs (up to 25.27 on 64 cores).
Citation
Janjic , V , Brown , C M , Neunhoeffer , M , Hammond , K , Linton , S A & Loidl , H-W 2013 , Space exploration using parallel orbits : a study in parallel symbolic computing . in M Bader , A Bode , H-J Bungartz , M Gerndt , G R Joubert & F Peters (eds) , Parallel Computing : Accelerating Computational Science and Engineering (CSE) . vol. 25 , Advances in Parallel Computing , IOS Press , pp. 225-232 . https://doi.org/10.3233/978-1-61499-381-0-225
Publication
Parallel Computing
DOI
https://doi.org/10.3233/978-1-61499-381-0-225
ISSN
0927-5452
Type
Conference item
Rights
© 2013, IOS Press. This work is made available online with express permission from the publisher. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.iospress.nl. Parallel Computing: Accelerating Computational Science and Engineering (CSE), Janjic, V., Brown, C. M., Neunhoeffer, M., Hammond, K., Linton, S. A. & Loidl, H-W., 225 – 232, Copyright (2013) with permission from IOS Press.
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  • University of St Andrews Research
URL
http://www.iospress.nl
URI
http://hdl.handle.net/10023/5303

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