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Article . 1980
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SIAM Journal on Numerical Analysis
Article . 1980 . Peer-reviewed
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SIAM Journal on Numerical Analysis
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Uniqueness and the Cell Reynolds Number

Uniqueness and the cell Reynolds number
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1980Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 17, pages 733-739 (issn: 0036-1429, eissn: 1095-7170, Copyright policy )
Authors: R. B. Kellogg; G. R. Shubin; A. B. Stephens;

doi: 10.1137/0717061

Uniqueness and the Cell Reynolds Number

Abstract

Using some results from the theory of M-functions, we show how uniqueness and multiplicity of solutions for three finite-difference approximations of the steady Burgers equation are related to the cell Reynolds number.

Keywords

Burgers' equation, Applications to the sciences, first order upwind scheme, Boundary-layer theory for compressible fluids and gas dynamics, second order accurate centred scheme, uniqueness, Numerical solution of discretized equations for boundary value problems involving PDEs, cell Reynolds number

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    		 28
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citations
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
Average
Top 10%
Top 10%
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