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
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;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633526
