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Article . 1991
License: "In Copyright" Rights Statement
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Article . 1991
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Numerische Mathematik
Article . 1991 . Peer-reviewed
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations

Authors: Elsner, Ludwig; Mehrmann, Volker;

Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations

Abstract

The authors discuss certain block matrices that are natural block- generalizations of \(Z\)-matrices and \(M\)-matrices and arise in the numerical solution of Euler equations in the area of computational fluid mechanics. They investigate the properties of such matrices and, in particular, give a proof for the convergence of block iterative methods for linear systems with such system matrices.

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Keywords

Iterative numerical methods for linear systems, Euler-Poisson-Darboux equations, Positive matrices and their generalizations; cones of matrices, \(Z\)-matrices, convergence, block iterative methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, block matrices, Euler equations, \(M\)-matrices, 510

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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!
25
Average
Top 10%
Average
Green
bronze