2002/06/16 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Computer Science · Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Computational Physics (physics.comp-ph) #Elasticity and Wave Propagation #FOS: Physical sciences #Image and Signal Denoising Methods #Model Reduction and Neural Networks #Plasma Physics (physics.plasm-ph) #physics.acc-ph #physics.comp-ph #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/0206052
4 pages, 2 figures, JAC2001.cls, presented at European Particle Accelerator Conference (EPAC02), Paris, June 3-7, 2002; changed from A4 to US format for correct printing
openalex publication_date 2002/06/16 · arxiv created 2002/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider some reduction from nonlinear Vlasov-Maxwell equation to rms/rate equations for second moments related quantities. Our analysis is based on variational wavelet approach to rational (in dynamical variables) approximation. It allows to control contribution from each scale of underlying multiscales and represent solutions via multiscale exact nonlinear eigenmodes (waveletons) expansions. Our approach provides the possibility to work with well-localized bases in phase space and best convergence properties of the corresponding expansions without perturbations or/and linearization procedures.