dorsal/arxiv
View SchemaNonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | physics/9904043 |
| URL | https://arxiv.org/abs/physics/9904043 |
Abstract
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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"abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part we consider the applications of discrete wavelet\nanalysis technique to maps which come from discretization of continuous\nnonlinear polynomial problems in accelerator physics. Our main point is\ngeneralization of wavelet analysis which can be applied for both discrete and\ncontinuous cases. We give explicit multiresolution representation for solutions\nof discrete problems, which is correct discretization of our representation of\nsolutions of the corresponding continuous cases.",
"arxiv_id": "physics/9904043",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
"categories": [
"physics.acc-ph",
"chao-dyn",
"math-ph",
"math.MP",
"nlin.CD",
"physics.comp-ph"
],
"title": "Nonlinear Accelerator Problems via Wavelets: 5. Maps and Discretization via Wavelets",
"url": "https://arxiv.org/abs/physics/9904043"
},
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