Application of the full reduction technique for solution of equations with vector form non-linearity

We consider making use of the full reduction algorithm for solving the equations with a vector non-linearity. The solutions of such the equations describe the planetary scale non-linear vortex structures of the Earth atmosphere, ionosphere and magnetosphere. We present the modification of full reduc...

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Bibliographic Details
Published in:Advances in Astronomy and Space Physics
Date:2013
Main Author: Saliuk, D.A.
Format: Article
Language:English
Published: Головна астрономічна обсерваторія НАН України 2013
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/119621
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Application of the full reduction technique for solution of equations with vector form non-linearity / D.A. Saliuk // Advances in Astronomy and Space Physics. — 2013. — Т. 3., вип. 2. — С. 98-101. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We consider making use of the full reduction algorithm for solving the equations with a vector non-linearity. The solutions of such the equations describe the planetary scale non-linear vortex structures of the Earth atmosphere, ionosphere and magnetosphere. We present the modification of full reduction technique for Charney-Obukhov equation with periodic boundary conditions. This technique allows to reduce significantly calculation time and to apply much more detailed spatial grid for studying non-linear processes in the near-Earth space.
ISSN:2227-1481