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On the question about the sufficiency of the von Neumann criterion for stability of difference schemes

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Publication:1286974
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DOI10.1006/jcph.1998.5936zbMath0921.65066OpenAlexW2160647640MaRDI QIDQ1286974

B. Yu. Scobolev

Publication date: 18 May 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.5936


zbMATH Keywords

stabilityfinite difference methodvon Neumann criterionFourier methodlinear advection equation


Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)


Related Items (2)

Convergence analysis of iterative methods by pseudodifference operators ⋮ Sufficient stability criteria and uniform stability of difference schemes



Cites Work

  • Corrigendum to: ``Symbolic-numerical method for the stability analysis of difference schemes on the basis of the catastrophe theory
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