DocumentCode
1876211
Title
Polynomial mechanics via wavelets
Author
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution
Inst. of Problems of Mech. Eng., Acad. of Sci., St. Petersburg, Russia
Volume
1
fYear
1997
fDate
27-29 Aug 1997
Firstpage
159
Abstract
In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of nonlinear problems. In the general case we have the solution as a multiresolution expansion based on compactly supported wavelet. The solution is parametrized by solutions of two reduced algebraical problems, one is nonlinear and the other is linear problem, which is obtained from one of the next wavelet constructions: fast wavelet transform, stationary subdivision schemes, and the method of connection coefficients
Keywords
approximation theory; differential equations; function approximation; polynomials; wavelet transforms; connection coefficients; fast wavelet transform; multiresolution expansion; polynomial approximations; polynomial mechanics; stationary subdivision; Chaos; Differential equations; Mechanical engineering; Moment methods; Optimal control; Physics; Polynomials; Riccati equations; Wavelet analysis; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-4247-X
Type
conf
DOI
10.1109/COC.1997.633526
Filename
633526
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