Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines Научная публикация
Журнал |
Numerical Algorithms
ISSN: 1017-1398 , E-ISSN: 1572-9265 |
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Вых. Данные | Год: 2021, Том: 86, Номер: 2, Страницы: 833-861 Страниц : 29 DOI: 10.1007/s11075-020-00914-9 | ||
Ключевые слова | Algorithm; Convex interpolation; Generalized cubic spline; Sufficient conditions of convexity; Tension parameters | ||
Авторы |
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Организации |
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Реферат:
We offer the algorithm for choosing tension parameters of the generalized splines for convexity preserving interpolation. The resulting spline minimally differs from the classical cubic spline and coincides with it if sufficient convexity conditions are satisfied for the last one. We consider specific algorithms for different generalized cubic splines such as rational, exponential, variable power, hyperbolic splines, and splines with additional knots. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Библиографическая ссылка:
Bogdanov V.V.
, Volkov Y.S.
Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
Numerical Algorithms. 2021. V.86. N2. P.833-861. DOI: 10.1007/s11075-020-00914-9 WOS Scopus РИНЦ OpenAlex
Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines
Numerical Algorithms. 2021. V.86. N2. P.833-861. DOI: 10.1007/s11075-020-00914-9 WOS Scopus РИНЦ OpenAlex
Даты:
Поступила в редакцию: | 26 сент. 2018 г. |
Принята к публикации: | 27 февр. 2020 г. |
Опубликована online: | 21 мар. 2020 г. |
Идентификаторы БД:
Web of science: | WOS:000564981000002 |
Scopus: | 2-s2.0-85082875731 |
РИНЦ: | 45471999 |
OpenAlex: | W3012988637 |