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Standing waves in the first order spline-wavelet decomposition

Research paper by Yu. K. Dem’yanovich

Indexed on: 26 Jul '13Published on: 26 Jul '13Published in: Mathematical Models and Computer Simulations



Abstract

It is established that a standing wave in the wavelet flow is simulated in the case of a two- nested spline-wavelet decomposition of the first order; so, it is possible to reduce the flow rate of the wavelet flow by a third. If the initial flow is generated by a smooth function, then the magnitude of the wavelet flow is found to coincide with the order of magnitude of the second differential of this function.