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Fragmentation of IADE Method Using LuNA System

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Parallel Computing Technologies (PaCT 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10421))

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Abstract

The fragmented programming system LuNA is based on the Fragmented Programming Technology. LuNA is a platform for building automatically tunable portable libraries of parallel numerical subroutines. This paper focuses on the parallel implementation of the IADE method for solving 1D partial differential equation (PDE) of parabolic type using LuNA programming system. A fragmented numerical algorithm of IADE method is designed in terms of the data-flow graph. A performance comparison of different algorithm’s implementations including LuNA and Message Passing Interface are given.

The work has been supported by research grant FRGS/1/2015/TK10/UTM/02/7 and RAS Presidium Programs II.2\(\varPi \)/I.3-1 and II.2\(\varPi \)/I.4-1.

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References

  1. Kraeva, M.A., Malyshkin, V.E.: Assembly technology for parallel realization of numerical models on MIMD-multicomputers. Int. J. Future Gener. Comput. Syst. 17(6), 755–765 (2001). Elsevier Science, NH

    Article  MATH  Google Scholar 

  2. Kireev, S., Malyshkin, V.: Fragmentation of numerical algorithms for parallel subroutines library. J. Supercomput. 57(2), 161–171 (2011)

    Article  Google Scholar 

  3. Kireev, S., Malyshkin, V., Fujita, H.: The LuNA library of parallel numerical fragmented subroutines. In: Malyshkin, V. (ed.) PaCT 2011. LNCS, vol. 6873, pp. 290–301. Springer, Heidelberg (2011). doi:10.1007/978-3-642-23178-0_26

    Chapter  Google Scholar 

  4. Sahimi, M.S., Ahmad, A., Bakar, A.A.: The Iterative Alternating Decomposition Explicit (IADE) method to solve the heat conduction equation. Int. J. Comput. Math. 47, 219–229 (1993)

    Article  MATH  Google Scholar 

  5. Malyshkin, V.E., Perepelkin, V.A.: LuNA fragmented programming system, main functions and peculiarities of run-time subsystem. In: Malyshkin, V. (ed.) PaCT 2011. LNCS, vol. 6873, pp. 53–61. Springer, Heidelberg (2011). doi:10.1007/978-3-642-23178-0_5

    Chapter  Google Scholar 

  6. Malyshkin, V., Perepelkin, V.: Optimization methods of parallel execution of numerical programs in the LuNA fragmented programming system. J. Supercomput. 61(1), 235–248 (2012)

    Article  Google Scholar 

  7. Malyshkin, V., Perepelkin, V.: The PIC implementation in LuNA system of fragmented programming. J. Supercomput. 69(1), 89–97 (2014)

    Article  Google Scholar 

  8. Mansor, N.A., Zulkifle, A.K., Alias, N., Hasan, M.K., Boyce, M.J.N.: The higher accuracy fourth-order IADE algorithm. J. Appl. Math. 2013, 1–13 (2013)

    Article  MathSciNet  Google Scholar 

  9. Alias, N., Sahimi, M.S., Abdullah, A.R.: Parallel strategies for the iterative alternating decomposition explicit interpolation-conjugate gradient method in solving heat conductor equation on a distributed parallel computer systems. In: Proceedings of the 3rd International Conference on Numerical Analysis in Engineering, vol. 3, pp. 31–38 (2003)

    Google Scholar 

  10. Joint Supercomputer Center of the Russian Academy of Sciences. http://www.jscc.ru/eng/index.shtml. Accessed 12 May 2017

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Author information

Authors and Affiliations

  1. Faculty of Science, Ibnu Sina Institute, Universiti Teknologi Malaysia, Johor Bahru, Malaysia

    Norma Alias

  2. ICMMG SB RAS, Novosibirsk, Russia

    Sergey Kireev

  3. Novosibirsk National Research University, Novosibirsk, Russia

    Sergey Kireev

Authors
  1. Norma Alias
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  2. Sergey Kireev
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Corresponding author

Correspondence to Sergey Kireev .

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Editors and Affiliations

  1. Russian Academy of Sciences, Novosibirsk, Russia

    Victor Malyshkin

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Alias, N., Kireev, S. (2017). Fragmentation of IADE Method Using LuNA System. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2017. Lecture Notes in Computer Science(), vol 10421. Springer, Cham. https://doi.org/10.1007/978-3-319-62932-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-62932-2_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62931-5

  • Online ISBN: 978-3-319-62932-2

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