http://dspace.bsu.edu.ru/handle/123456789/26304| Title: | Discrete approximations for multidimensional singular integral operators |
| Authors: | Vasilyev, A. Vasilyev, V. |
| Keywords: | mathematics mathematical analysis discrete Calderon-Zygmund operator discrete fourier transform cyclic convolution approximation rate |
| Issue Date: | 2017 |
| Citation: | Vasilyev, A. Discrete approximations for multidimensional singular integral operators / A. Vasilyev, V. Vasilyev // Numerical Analysis and Its Applications : 6th International Conference, NAA 2016, Lozenetz, Bulgaria, June 15-22, 2016 : revised selected papers / ed.by I. Dimov, I. Farago, L. Vulkov. - Cham, 2017. - P. 706-712. - Refer.: p. 711-712. |
| Abstract: | For discrete operator generated by singular kernel of Calderon-Zygmund one introduces a finite dimensional approximation which is a cyclic convolution. Using properties of a discrete Fourier transform and a finite discrete Fourier transform we prove a solvability for approximating equation in corresponding discrete space |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/26304 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasilyev_Discrete_Approxim.pdf | 161.88 kB | Adobe PDF | View/Open |
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