TY - CHAP
T1 - Behavior preserving extension of univariate and bivariate functions
AU - Levin, D.
PY - 2014
Y1 - 2014
N2 - Given function values on a domain D0, possibly with noise, we examine the possibility of extending the function to a larger domain D, D0⊂D. In addition to smoothness at the boundary of D0, the extension to D{minus 45 degree rule}D0 should also inherit behavioral trends of the function on D0, 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.
AB - Given function values on a domain D0, possibly with noise, we examine the possibility of extending the function to a larger domain D, D0⊂D. In addition to smoothness at the boundary of D0, the extension to D{minus 45 degree rule}D0 should also inherit behavioral trends of the function on D0, 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.
KW - Bivariate
KW - Extension
KW - Extrapolation
KW - Non-linear models
UR - http://www.scopus.com/inward/record.url?scp=84891587490&partnerID=8YFLogxK
U2 - 10.1016/B978-0-12-800536-1.00002-2
DO - 10.1016/B978-0-12-800536-1.00002-2
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AN - SCOPUS:84891587490
T3 - Advances in Quantum Chemistry
SP - 19
EP - 42
BT - Advances in Quantum Chemistry
PB - Academic Press Inc.
ER -