Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. II

DOI10.1006/jcph.2000.6421zbMath0987.65088OpenAlexW2745604712MaRDI QIDQ1979127

Alina E. Chertock, Amir Yefet, Saul S. Abarbanel

Publication date: 9 June 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2000.6421

zbMATH Keywords

numerical examplesMaxwell equationstime stabilityhigh order implict finite difference schemeslinear hyperbolic initial boundary value problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

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• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients
• Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. I