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Interpolation by cubic tension splines with convexity inheritance Научная публикация

Журнал

Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822

Вых. Данные

Год: 2025, Том: 13, Номер: 1, Страницы: 37-49 Страниц : 13 DOI: 10.32523/2306-6172-2025-13-1-37-49

Ключевые слова

convex interpolation, cubic tension spline, algorithm, sufficient conditions of convexity

Авторы

Bogdanov V.V. ¹ , Volkov Yu.S. ¹

Организации

1	Sobolev Institute of Mathematics SB RAS

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0015

We consider the problem of interpolation of a convex function by tension splines with inheritance of the convexity condition. Previously, we developed the near-optimal algorithm for automatically selecting tension parameters when interpolating a convex function; now we propose to use it in the problem of piecewise convex interpolation. Using numerical examples, we show that tension parameters determined on subdomains when constructing separate splines can be used in a global tension spline construction over all data, which ensures the required convexity on subdomains.

Bogdanov V.V. , Volkov Y.S.
Interpolation by cubic tension splines with convexity inheritance
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N1. P.37-49. DOI: 10.32523/2306-6172-2025-13-1-37-49 WOS Scopus OpenAlex

Поступила в редакцию:	12 июн. 2024 г.
Принята к публикации:	13 сент. 2024 г.
Опубликована в печати:	31 мар. 2025 г.
Опубликована online:	31 мар. 2025 г.

Web of science:	WOS:001459853500004
Scopus:	2-s2.0-105003319691
OpenAlex:	W4409188318

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