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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 2, Pages 56–59 (Mi vmumm675)

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Multiscale analysis of gas dynamic fields

A. V. Plenkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A joint analysis of singularities detected in an initial gas dynamic field and at the first level of its wavelet decomposition allows one to remove the most part of numerical artifacts. The application of asymmetric wavelets for this decomposition leads to a displacement of singularities. It is shown that the values of such a field can be identified with the coefficients of its wavelet decomposition.

Key words: wavelets, singularity detection, gas dynamics.

UDC: 517.5

Received: 21.10.2009


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2011, 66:2, 40–43

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