An algebraic condition for the exponential stability of an upwind difference scheme for hyperbolic systems

DOI10.1007/S10958-024-06941-4OpenAlexW4391401719MaRDI QIDQ6194928

R. D. Aloev, D. E. Nematova

Publication date: 16 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06941-4

zbMATH Keywords

exponential stabilitydifference schemeupwind schemehyperbolic system

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) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) First-order hyperbolic equations (35L02)

Cites Work

• Stability and boundary stabilization of 1-D hyperbolic systems
• Construction and research of adequate computational models for quasilinear hyperbolic systems
• Numerical discretization of boundary control problems for systems of balance laws: feedback stabilization
• Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients

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