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Efficient realization of the Galerkin method in view of new properties of Chebyshev polynomials

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Cybernetics and Systems Analysis Aims and scope

Abstract

The Galerkin method is used taking account of new properties of Chebyshev polynominals of the first and second kinds to demonstrate the possibility of simplifying the asymptotic analysis and synthesis of various systems governed by operator equations.

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Authors and Affiliations

  1. Rostov Higher Engineering Military School of the Missile Forces, Rostov on Don, Russia

    Yu. G. Bulychev

  2. Rostov State University, Rostov on Don, Russia

    E. Yu. Bulycheva

Authors
  1. Yu. G. Bulychev
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  2. E. Yu. Bulycheva
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 140–148, November–December 2004.

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Bulychev, Y.G., Bulycheva, E.Y. Efficient realization of the Galerkin method in view of new properties of Chebyshev polynomials. Cybern Syst Anal 40, 908–916 (2004). https://doi.org/10.1007/s10559-005-0030-y

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  • DOI: https://doi.org/10.1007/s10559-005-0030-y

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