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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 1, Pages 77–82 (Mi zvmmf534)  
This article is cited in 6 scientific papers (total in 6 papers)

Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations

E. B. Postnikov

Kursk State Pedagogical University, ul. Radischeva 33, Kursk, 305000, Russia
Full-text PDF (1339 kB) Citations (6)
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Abstract: It is shown that the problem of evaluating the continuous Morlet wavelet transform can be stated as the Cauchy problem for a system of two partial differential equations. The initial conditions for the desired functions, i.e., for the real and imaginary parts of the wavelet transform, are the analyzed function and a vanishing function, respectively. Numerical examples are given.
Key words: continuous wavelet transform, Morlet wavelet, diffusion equation.
Received: 06.08.2004
Revised: 02.08.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 1, Pages 73–78
DOI: https://doi.org/10.1134/S0965542506010088
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: E. B. Postnikov, “Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006), 77–82; Comput. Math. Math. Phys., 46:1 (2006), 73–78
Citation in format AMSBIB
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\paper Evaluation of a~continuous wavelet transform by solving the Cauchy problem for a~system of partial differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 46
\issue 1
\pages 77--82
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\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 1
\pages 73--78
\crossref{https://doi.org/10.1134/S0965542506010088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746057382}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :444
    References:65
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