A. V. Vasil'ev, V. B. Vasil'ev, “Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving”, Vladikavkaz. Mat. Zh., 2014, Volume 16, Number 1,Pages <nobr>3

This article is cited in 2 papers

Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving

A. V. Vasil'ev^a, V. B. Vasil'ev^b

^a Belgorod State University, Belgorod, Russia
^b Lipetsk State Technical University, Lipetsk, Russia

Abstract: The error estimate for continuous singular integral and the discrete ones in multi-dimensional space is obtained. The use of fast Fourier transform for finding approximate solutions for equations with such operators is suggested.

Key words: Calderon–Zygmund kernel, symbol, discrete singular integral operator, approximate solution, fast Fourier transform.

UDC: 517.968

Received: 24.04.2013