Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems
加速器物理
2009-10-31 v2 chao-dyn
数学物理
math.MP
混沌动力学
计算物理
摘要
In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to variational approach in the general case we have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis. We give extension of our results to the cases of periodic orbital particle motion and arbitrary variable coefficients. Then we consider more flexible variational method which is based on biorthogonal wavelet approach. Also we consider different variational approach, which is applied to each scale.
引用
@article{arxiv.physics/9902062,
title = {Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems},
author = {Antonina N. Fedorova and Michael G. Zeitlin and Zohreh Parsa},
journal= {arXiv preprint arXiv:physics/9902062},
year = {2009}
}
备注
LaTeX2e, aipproc.sty, 21 Pages