Computational Mathematics

2004, Special Issue

I.A. Blatov, N.V. Bubnova

ON ESTIMATIONS OF MATRIX UNITS IN WAVELET-GALERKIN METHOD FOR SINGULAR INTEGRAL EQUATIONS

The Bubnov—Galerkin method based on wavelet splines for singular integral equations is considered. Matrices of systems of linear algebraic equations are investigated. Rarefied approximations based on barrier cut applied to these matrices are received. The dependence of rarefaction of a matrix and approximate solution accuracy on magnitude of a barrier is analyzed numerically.