Localization of singularities in gas dynamics fields with the aid of wavelet analysis. (Russian. English summary) Zbl 1164.76374

Afendikov, A. L.; Levkovich-Masliuk, L. I.; Lutsky, A. E.; Plenkin, A. V.

Mat. Model. 20, No. 7, 65-84 (2008).

In previous papers by the authors, an approach to the localization of singularities of gas-dynamical fields by the use of complex and real wavelets was described. The principal novelty in the approach was the use of filters on a basis of Daubechies wavelets with compact carriers. Here, an algorithm for the numerical realization is proposed.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76N15	Gas dynamics (general theory)
42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
65T60	Numerical methods for wavelets

Keywords:

gas dynamics; wavelets