VARIATIONAL APPROACH IN WAVELET FRAMEWORK TO POLYNOMIAL APPROXIMATIONS OF NONLINEAR ACCELERATOR PROBLEMS

Conference · Thu Mar 30 23:00:00 EST 2000

OSTI ID:755056

FEDOROVA, A ^[1]; ZEITLIN, M; PARSA, Z

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1. BROOKHAVEN NATIONAL LABORATORY

In this paper the authors 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 they have the solution as a multiresolution (multiscales) expansion on the base of compactly supported wavelet basis. They give an extension of their results to the cases of periodic orbital particle motion and arbitrary variable coefficients. Then they consider more flexible variational method which is based on a biorthogonal wavelet approach. Also they consider a different variational approach, which is applied to each scale.

• Research Organization: Brookhaven National Lab., Upton, NY (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC02-98CH10886
• OSTI ID: 755056
• Report Number(s): BNL--67338; KA04; KA04
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
NUMERICAL SOLUTION
PARTICLE BEAMS
POLYNOMIALS
VARIATIONAL METHODS