In this paper we present applications of methods from wavelet analysis topolynomial approximations for a number of accelerator physics problems.According to variational approach in the general case we have the solution as amultiresolution (multiscales) expansion in the base of compactly supportedwavelet basis. We give extension of our results to the cases of periodicorbital particle motion and arbitrary variable coefficients. Then we considermore flexible variational method which is based on biorthogonal waveletapproach. Also we consider different variational approach, which is applied toeach scale.
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