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Приближение разрывной функции двух переменных с неизвестными линиями разрыва разрывным аппроксимационным сплайном

Приближение разрывной функции двух переменных с неизвестными линиями разрыва разрывным аппроксимационным сплайном

Abstract

В статье построены и исследованы разрывные аппроксимационные сплайны для приближения разрывных функций. Разработан алгоритм восстановления разрывной функции, неизвестные разрывы которой неизвестны, с помощью приближения ее построенным разрывным аппроксимационным сплайном. Также разработан алгоритм оптимального определения сетки приближающего сплайна. Введено понятие ε-непрерывности функции двух переменных.

Keywords

РАЗРЫВНАЯ ФУНКЦИЯ,РАЗРЫВНАЯ АППРОКСИМАЦИЯ ФУНКЦИЙ,ε-НЕПРЕРЫВНОСТЬ ФУНКЦИИ,ПРЯМОУГОЛЬНЫЕ ЭЛЕМЕНТЫ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average