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Parallel Algorithms for Non-stationary Problems: Survey of New Generation of Explicit Schemes
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Parallel Algorithms for Non-stationary Problems: Survey of New Generation of Explicit Schemes
Yuri M. Laevsky5  , Polina V. Banushkina6, Svetlana A. Litvinenko5 and Alexander A. Zotkevich5
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Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Lavrentiev ave, 630090 Novosibirsk, Russia |
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Novosibirsk State University, 2, Pirogov st., 630090 Novosibirsk, Russia |
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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