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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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SIAM Journal on Numerical Analysis
Article . 1975 . Peer-reviewed
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https://dx.doi.org/10.1137/071...
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Optimally Stable Lagrangian Numerical Differentiation

Optimally stable Lagrangian numerical differentiation
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1975 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 12, pages 712-725 (issn: 0036-1429, eissn: 1095-7170, Copyright policy )
Authors: Rivlin, T. J.;

doi: 10.1137/0712053

Optimally Stable Lagrangian Numerical Differentiation

Abstract

Approximating a derivative of a function at a point by the corresponding derivative of its interpolating polynomial is called Lagrangian numerical differentiation. In this work we describe the nodes at which to interpolate in order to minimize the error in Lagrangian numerical differentiation due to errors in the sampled values of the function.

Keywords

Numerical differentiation, Interpolation in approximation theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Top 10%
Top 10%
Average
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