|
Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 1, Pages 3–11
(Mi vmj490)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving
A. V. Vasil'eva, V. B. Vasil'evb 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.
Received: 24.04.2013
Citation:
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., 16:1 (2014), 3–11
Linking options:
https://www.mathnet.ru/eng/vmj490 https://www.mathnet.ru/eng/vmj/v16/i1/p3
|
Statistics & downloads: |
Abstract page: | 210 | Full-text PDF : | 70 | References: | 45 |
|