Efficient realization of the Galerkin method in view of new properties of Chebyshev polynomials |
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| Authors: | Yu G Bulychev E Yu Bulycheva |
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| Affiliation: | (1) Rostov Higher Engineering Military School of the Missile Forces, Rostov on Don, Russia;(2) Rostov State University, Rostov on Don, Russia |
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| 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.Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 140–148, November–December 2004.This revised version was published online in April 2005 with a corrected cover date. |
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| Keywords: | Galerkin method Hilbert space scalar product Chebyshev polynomials |
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