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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 5, Pages 727–736 (Mi zvmmf9853)

This article is cited in 6 papers

Application of semiorthogonal spline wavelets and the Galerkin method to the numerical simulation of thin wire antennas

I. A. Blatov, N. V. Rogova

Povolzhskiy State University of Telecommunications and Informatics

Abstract: The Bubnov–Galerkin method based on spline wavelets is used to solve singular integral equations. For the resulting systems of linear algebraic equations, the properties of their coefficient matrices are examined. Sparse approximations of these matrices are constructed by applying a cutting barrier. The results are used to numerically analyze thin wire antennas. Numerical results are presented.

Key words: wavelets, singular integral equations, sparse matrix techniques, thin wire antennas, Bubnov–Galerkin method, properties of coefficient matrices of systems of linear algebraic equations.

UDC: 519.62

Received: 13.11.2009
Revised: 03.12.2012

DOI: 10.7868/S0044466913050037


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:5, 564–572

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