About some aspects of function interpolation by trigonometric splines
Numerical Analysis
2021-12-17 v1 Numerical Analysis
Abstract
Interpolation of classes of differentiated functions given on a finite interval by trigonometric splines using the phantom node method is considered. This method consists in supplementing a given sequence of values of an approximate function with an even number of values of a phantom function, which is constructed in such a way as to eliminate gaps in both the function itself and its derivatives up to and including a certain order; in the General case, these gaps occur with the periodic continuation of the function given at a finite interval. The results of calculations on test examples for trigonometric splines of the third order are given; these calculations illustrate the high efficiency of the proposed method.
Cite
@article{arxiv.2112.08518,
title = {About some aspects of function interpolation by trigonometric splines},
author = {Volodymyr Denysiuk and Olena Hryshko},
journal= {arXiv preprint arXiv:2112.08518},
year = {2021}
}