@article{1c8dbd2ffce540d5a4b63931939afd29,
title = "Explicit multivariate approximations from cell-average data",
abstract = "Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. One contribution is the derivation of high-order approximations to point-values of the function directly from the cell-average data. The second contribution is the development of univariate B-spline-based high-order quasi-interpolation operators using cell-average data. Multivariate spline quasi-interpolation approximation operators are obtained by tensor product of the univariate operators.",
keywords = "Cell-average data, Explicit approximation, Multivariate, Quasi-interpolation, Splines",
author = "Sergio Amat and David Levin and Juan Ruiz-{\'A}lvarez and Y{\'a}{\~n}ez, \{Dionisio F.\}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
month = dec,
doi = "10.1007/s10444-022-09997-5",
language = "אנגלית",
volume = "48",
journal = "Advances in Computational Mathematics",
issn = "1019-7168",
publisher = "Springer Netherlands",
number = "6",
}