General Variational Approach to the Interpolation Problem. Mitáš, L. & Mitášová, H. 16(12):983–992. Paper doi abstract bibtex The Talmi and Gilat variational approach to the interpolation problem in arbitrary dimension is presented together with the corresponding physical model. The connection of this approach to some known spline methods is demonstrated and new interpolation functions are derived for one-, two- and three-dimensional cases. They are designed to be flexible through the use of meaningful parameters and to give good approximations of both the function itself and its derivatives as well.
@article{mitasGeneralVariationalApproach1988,
title = {General Variational Approach to the Interpolation Problem},
author = {Mitáš, L. and Mitášová, H.},
date = {1988},
journaltitle = {Computers \& Mathematics with Applications},
volume = {16},
pages = {983--992},
issn = {0898-1221},
doi = {10.1016/0898-1221(88)90255-6},
url = {https://doi.org/10.1016/0898-1221(88)90255-6},
abstract = {The Talmi and Gilat variational approach to the interpolation problem in arbitrary dimension is presented together with the corresponding physical model. The connection of this approach to some known spline methods is demonstrated and new interpolation functions are derived for one-, two- and three-dimensional cases. They are designed to be flexible through the use of meaningful parameters and to give good approximations of both the function itself and its derivatives as well.},
keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-14257889,~to-add-doi-URL,mathematics,smooth-transition,spatial-interpolation},
number = {12}
}
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