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Integral form of the spline function in approximation problemsстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Авторы: Dmitriev V.I., Dmitrieva I.V., Ingtem J.G.
- Журнал: Computational Mathematics and Modeling
- Том: 24
- Номер: 4
- Год издания: 2013
- Издательство: Consultants Bureau
- Местоположение издательства: United States
- Первая страница: 488
- Последняя страница: 497
- DOI: 10.1007/s10598-013-9192-z
- Аннотация: The article examines a new (integral) approach to the construction of a spline-approximation function. The proposed approach simplifies the process of spline construction. The integral form of the spline yields an analytical representation of the spline function and its derivatives on the entire approximation interval. Unlike with polynomial splines, the number of unknowns to be determined for integral spline construction does not depend on the order of the spline (when constructing parabolic, cubic, and n th order splines, the number of unknowns does not change and depends only on the spline grid). This spline makes it possible to efficiently approximate the function and its derivatives from given function values on both fine and coarse grids. © 2013 Springer Science+Business Media New York.
- Добавил в систему: Ингтем Женни Гастоновна