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Parallel Algorithms for Non-stationary Problems: Survey of New Generation of Explicit Schemes

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2127))

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Abstract

In the paper the new approach to design parallel algorithms for the modelling of the multi-scale non-stationary processes is proposed. Our technique is based on the explicit multi-level difference schemes with the local stability conditions. We study a number of the methods which are realized efficiently with multi-computer systems and are applied to some problems from combustion theory.

The work was suppoted by the RFBR (grant 01-01-00819), the Programm ”Russian Universities” (grant 991116), the Russian-Holland Programm NWO-RFBR (grant 047.008.007)

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References

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© 2001 Springer-Verlag Berlin Heidelberg

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Laevsky, Y.M., Banushkina, P.V., Litvinenko, S.A., Zotkevich, A.A. (2001). Parallel Algorithms for Non-stationary Problems: Survey of New Generation of Explicit Schemes. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2001. Lecture Notes in Computer Science, vol 2127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44743-1_46

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  • DOI: https://doi.org/10.1007/3-540-44743-1_46

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42522-9

  • Online ISBN: 978-3-540-44743-6

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