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

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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.

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20 pages

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FEDOROVA,A.; ZEITLIN,M. & PARSA,Z. March 31, 2000.

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Description

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.

Physical Description

20 pages

Notes

INIS; OSTI as DE00755056

Source

  • 16TH ADVANCED ICFA BEAM DYNAMICS WORKSHOP ON NONLINEAR AND COLLECTIVE PHENOMENA IN BEAM PHYSICS, ARCIDOSSO (IT), 09/01/1998--09/05/1998

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  • Report No.: BNL--67338
  • Report No.: KA04
  • Grant Number: AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 755056
  • Archival Resource Key: ark:/67531/metadc704830

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  • March 31, 2000

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  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 9, 2015, 4:37 p.m.

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FEDOROVA,A.; ZEITLIN,M. & PARSA,Z. VARIATIONAL APPROACH IN WAVELET FRAMEWORK TO POLYNOMIAL APPROXIMATIONS OF NONLINEAR ACCELERATOR PROBLEMS, article, March 31, 2000; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc704830/: accessed August 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.