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https://dspace.megu.edu.ua:8443/jspui/handle/123456789/3699| Title: | QS1 POLYNOMIALS |
| Authors: | Янчук, П. С. Janchuk, P. |
| Keywords: | quasispectral polynomials Fourier series spectral methods approximation methods Sobolev spaces orthogonal polynomials classical polynomials |
| Issue Date: | 2022 |
| Publisher: | Boston, USA, BoScience Publisher: Progressive research in the modern world. Proceedings of the 4th International scientific and practical conference |
| Citation: | Janchuk P. QS1 polynomials // Progressive research in the modern world. Proceedings of the 4th International scientific and practical conference / P. Janchuk. - Boston, USA: BoScience Publisher, 2022. - Pp. 278-287. |
| Abstract: | The author earlier developed new classes of quasi-spectral polynomials, and the study presents new findings about these classes for the efficient resolution of mathematical physics problems. By examining the approximation behavior of Fourier series by systems of quasispectral polynomials and the accompanying order of approximation, we explore the potential for retrieving information about functions that are solutions of boundary value problems. This work proves that the function, which in practice is the Sobolev space solution of the boundary value problem, can be reconstructed with the same accuracy in the base space of all square summable functions as it could be reconstructed if it were explicitly given. |
| URI: | https://dspace.megu.edu.ua:8443/jspui/handle/123456789/3699 |
| Appears in Collections: | Наукові роботи кафедри інформаційних систем та обчислювальних методів |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Yanchuk Paper.pdf | QS1 POLYNOMIALS | 338.4 kB | Adobe PDF | View/Open |
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