Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions

DOI10.1093/IMANUM/DRAB088OpenAlexW4248366657MaRDI QIDQ5879399

Grégory Faye, Jean-François Coulombel

Publication date: 1 March 2023

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03066

zbMATH Keywords

stabilityboundary conditionsToeplitz operatorshyperbolic equationssemigroup estimatesdifference approximations

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) Toeplitz, Cauchy, and related matrices (15B05) Transport equations (35Q49)

Related Items (3)

Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics ⋮ Tamed stability of finite difference schemes for the transport equation on the half-line ⋮ Generalized Gaussian bounds for discrete convolution powers

This page was built for publication: Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions