Nonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets

Details Nonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets Nonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets

1999-04-21

arxiv.org/abs/physics/9904043v1

Physics

Accelerator Physics

LaTeX2e, 2 figures, pac99.cls, Proceedings PAC99

Scientific paper

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.

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