Variational approach in wavelet framework to polynomial approximations of nonlinear accelerator problems

Journal Article · Wed Mar 31 23:00:00 EST 1999 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.58425· OSTI ID:700948

Fedorova, A

In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to a variational approach in the general case we have the solution as a multiresolution (multiscales) expansion on the base of compactly supported wavelet basis. We give an 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 a biorthogonal wavelet approach. Also we consider a different variational approach, which is applied to each scale. {copyright} {ital 1999 American Institute of Physics.}

• Research Organization: Brookhaven National Laboratory
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-98CH10886
• OSTI ID: 700948
• Report Number(s): CONF-980984--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 468; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
EQUATIONS OF MOTION
HAMILTONIAN FUNCTION
NONLINEAR PROBLEMS
ORBIT STABILITY
STORAGE RINGS