1999/04/21 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Seismic Imaging and Inversion Techniques #chao-dyn #math-ph #math.MP #nlin.CD #physics.acc-ph #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/9904043
LaTeX2e, 2 figures, pac99.cls, Proceedings PAC99
arxiv created 1999/04/21 · arxiv updated 2009/11/30
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider the applications of discrete wavelet analysis technique to maps which come from discretization of continuous nonlinear polynomial problems in accelerator physics. Our main point is generalization of wavelet analysis which can be applied for both discrete and continuous cases. We give explicit multiresolution representation for solutions of discrete problems, which is correct discretization of our representation of solutions of the corresponding continuous cases.