A discrete wavelet analysis of freak waves in the ocean.
Lin, En-Bing, Liu, Paul C. (2004)
Journal of Applied Mathematics
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Lin, En-Bing, Liu, Paul C. (2004)
Journal of Applied Mathematics
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Zhang, Xinming, Liu, Jiaqi, Liu, Ke'an (2009)
Mathematical Problems in Engineering
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Cattani, Carlo, Sánchez Ruiz, Luis M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Sen, Asok K., Dostrovsky, Jonathan O. (2007)
Computational & Mathematical Methods in Medicine
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Silvia Bertoluzza (2005)
Bollettino dell'Unione Matematica Italiana
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After reviewing some of the properties of wavelet bases, and in particular the property of characterisation of function spaces via wavelet coefficients, we describe two new approaches to, respectively, stabilisation of numerically unstable PDE's and to non linear (adaptive) solution of PDE's, which are made possible by these properties.
Cattani, Carlo (2010)
Mathematical Problems in Engineering
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Jean-Michel Innocent, Bruno Torrésani (1997)
Banach Center Publications
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We give a short account of some time-frequency methods which are relevant in the context of gravity waves detection. We focus on the case of wavelet analysis which we believe is particularly appropriate. We show how wavelet transforms can lead to efficient algorithms for detection and parameter estimation of binary coalescence signals. In addition, we give in an appendix some of the ingredients needed for the construction of discrete wavelet decompositions and corresponding fast algorithms. ...
Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
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Roşca, Daniela, Antoine, Jean-Pierre (2009)
Mathematical Problems in Engineering
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Ü. Lepik, H. Hein (2015)
Waves, Wavelets and Fractals
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In recent times the wavelet methods have obtained a great popularity for solving differential and integral equations. From different wavelet families we consider here the Haar wavelets. Since the Haar wavelets are mathematically most simple to be compared with other wavelets, then interest to them is rapidly increasing and there is a great number of papers,where thesewavelets are used tor solving problems of calculus. An overview of such works can be found in the survey paper by Hariharan...