This article is cited in 1 paper

Standing waves in spline-wavelet decomposition of the first order

Yu. K. Dem'yanovich


Abstract: In the case of two-nested spline-wavelet decomposition of the first order a standing wave in wavelet flow is simulated. Therefore it is possible to reduce the wavelet flow up to two thirds of the mentioned wavelet flow. If initial flow is generated with a smooth function then the magnitude of wavelet flow coincide to magnitude of the second differential of the function.

Keywords: splines, approximation relations, wavelets, spline-wavelet decompositions, simulation of standing wave, calibration relations, decomposition, reconstruction.

UDC: 519

Received: 14.06.2012

 English version: Mathematical Models and Computer Simulations, 2013, 5:4, 404–408

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