Symbolic-numerical method for the stability analysis of difference schemes on the basis of the catastrophe theory

DOI10.1006/JCPH.1995.1003zbMath0860.65084OpenAlexW2041994737MaRDI QIDQ1346503

Boris Yu. Scobelev, Victor G. Ganzha, Evgenii V. Vorozhtsov

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1006/jcph.1995.1003

zbMATH Keywords

stabilitydifference methodsymbolic computationscatastrophe theoryFourier methodsymbolic-numerical method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear parabolic equations (35K55) First-order nonlinear hyperbolic equations (35L60) 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)

Related Items (2)

Sufficient stability criteria and uniform stability of difference schemes ⋮ The exact stability region of the MacCormack scheme for the scalar advection equation

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