Behavior preserving extension of univariate and bivariate functions

D. Levin*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Title of host publicationAdvances in Quantum Chemistry
PublisherAcademic Press Inc.
Pages19-42
Number of pages24
DOIs
StatePublished - 2014

Publication series

NameAdvances in Quantum Chemistry
Volume68
ISSN (Print)0065-3276

Keywords

  • Bivariate
  • Extension
  • Extrapolation
  • Non-linear models

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