A discrete analogue of the Lyapunov function for hyperbolic systems

DOI10.1007/S10958-022-06028-YzbMath1496.65103OpenAlexW4288749716WikidataQ115603664 ScholiaQ115603664MaRDI QIDQ2168963

M. U. Hudayberganov, R. D. Aloev

Publication date: 29 August 2022

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

Full work available at URL: https://doi.org/10.1007/s10958-022-06028-y

zbMATH Keywords

Lyapunov functionlinear hyperbolic systemdifference splitting scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Cites Work

• Stability and boundary stabilization of 1-D hyperbolic systems
• Sufficient condition of stability of finite element method for symmetric T-hyperbolic systems with constant coefficients

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