Chapter 2 - Behavior Preserving Extension of Univariate and Bivariate Functions
D. Levin. Proceedings of MEST 2012: Electronic structure methods with applications to experimental chemistry, volume 68 of Advances in Quantum Chemistry, chapter 2, Academic Press, (2014)
DOI: 10.1016/B978-0-12-800536-1.00002-2
Abstract
Abstract Given function values on a domain D 0 , possibly with noise, we examine the possibility of extending the function to a larger domain D , D 0 ⊂ D . In addition to smoothness at the boundary of D 0 , the extension to D ⧹ D 0 should also inherit behavioral trends of the function on D 0 , such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate, or bivariate, with constant coefficients or varying coefficients.
%0 Book Section
%1 Levin201419
%A Levin, D.
%B Proceedings of MEST 2012: Electronic structure methods with applications to experimental chemistry
%D 2014
%E Hoggan, Philip
%I Academic Press
%K analysis chemistry functional mathematics quantum unread
%P 19-42
%R 10.1016/B978-0-12-800536-1.00002-2
%T Chapter 2 - Behavior Preserving Extension of Univariate and Bivariate Functions
%U http://www.sciencedirect.com/science/article/pii/B9780128005361000022
%V 68
%X Abstract Given function values on a domain D 0 , possibly with noise, we examine the possibility of extending the function to a larger domain D , D 0 ⊂ D . In addition to smoothness at the boundary of D 0 , the extension to D ⧹ D 0 should also inherit behavioral trends of the function on D 0 , such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate, or bivariate, with constant coefficients or varying coefficients.
%& 2
@incollection{Levin201419,
abstract = {Abstract Given function values on a domain D 0 , possibly with noise, we examine the possibility of extending the function to a larger domain D , D 0 ⊂ D . In addition to smoothness at the boundary of D 0 , the extension to D ⧹ D 0 should also inherit behavioral trends of the function on D 0 , such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, univariate, or bivariate, with constant coefficients or varying coefficients. },
added-at = {2014-01-16T20:56:39.000+0100},
author = {Levin, D.},
biburl = {https://www.bibsonomy.org/bibtex/261a248799b67ce2db5bc8ab4a7383964/drmatusek},
booktitle = {Proceedings of MEST 2012: Electronic structure methods with applications to experimental chemistry},
chapter = 2,
doi = {10.1016/B978-0-12-800536-1.00002-2},
editor = {Hoggan, Philip},
interhash = {6f7f6b972168ec5a7c4ec74c7a59b4af},
intrahash = {61a248799b67ce2db5bc8ab4a7383964},
issn = {0065-3276},
keywords = {analysis chemistry functional mathematics quantum unread},
pages = {19-42},
publisher = {Academic Press},
series = {Advances in Quantum Chemistry },
timestamp = {2014-01-16T20:56:39.000+0100},
title = {Chapter 2 - Behavior Preserving Extension of Univariate and Bivariate Functions },
url = {http://www.sciencedirect.com/science/article/pii/B9780128005361000022},
volume = 68,
year = 2014
}