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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 405, Pages 97–118 (Mi znsl5280)

This article is cited in 4 papers

Spline-wavelets in the case of a single local coarsening of the grid

Yu. K. Dem'yanovich

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: The structure of the spline-wavelet decomposition in the case of a single local coarsening of a grid is discussed. Algorithms of decomposition and reconstruction are obtained. The wavelet flow is evaluated in the case where the initial flow is generated by a smooth function.

Key words and phrases: splines, wavelets, local coarsening, embedding matrix, extension matrix, interference, standing waves.

UDC: 519

Received: 03.11.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 191:1, 52–64

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