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One Parallel Method for Solving the Multidimensional Transfer Equation with Aftereffect

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

We describe a finite difference scheme for a multidimensional advection equation with time delay. The difference scheme has the second order in space and the first order in time and is unconditionally stable. The difference scheme lead to a big system of linear algebraic equations which could be solved in parallel. The performance of a sequential algorithm and several parallel implementations with the MPI technology in the C/C++ language has been studied in test examples, strong scalability is closed to ideal one.

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Acknowledgements

This research is supported by RFBR 14-01-00065, Russian Science Foundation (RSF) 14-35-00005 and Program 02.A03.21.0006 on 27.08.2013.

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Authors and Affiliations

  1. Ural Federal University, Turgeneva st. 4, Ekaterinburg, Russia

    Svyatoslav I. Solodushkin & Irina F. Yumanova

  2. Institute of Mathematics and Mechanics, Ural Branch of the RAS, S. Kovalevskoy st. 16, Ekaterinburg, Russia

    Svyatoslav I. Solodushkin & Arsen A. Sagoyan

Authors
  1. Svyatoslav I. Solodushkin
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  2. Arsen A. Sagoyan
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  3. Irina F. Yumanova
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Corresponding author

Correspondence to Svyatoslav I. Solodushkin .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Solodushkin, S.I., Sagoyan, A.A., Yumanova, I.F. (2017). One Parallel Method for Solving the Multidimensional Transfer Equation with Aftereffect. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_70

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_70

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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