Stability analysis of difference schemes by catastrophe theory methods

DOI10.1016/0377-0427(92)90050-8zbMath0777.65057OpenAlexW2155896946MaRDI QIDQ1208550

Boris Yu. Scobelev, Evgenii V. Vorozhtsov

Publication date: 16 May 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90050-8

zbMATH Keywords

stabilityCauchy problemdifference schemesFourier methodstability domaindomains of instabilitymethods of catastrophe theory

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The stability analysis of difference schemes by numerical solution of the generalized Routh-Hurwitz problem
• An invariant finite-dimensional approximation to the Navier-Stokes equations and self-excited oscillatory modes of Poiseuille flow
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation