High-order time-stable numerical boundary scheme for the temporally dependent Maxwell equations in two dimensions

DOI10.1006/JCPH.2002.7014zbMath0996.78017OpenAlexW2154226097MaRDI QIDQ1601527

J. F. Nystrom

Publication date: 6 November 2002

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

Full work available at URL: https://semanticscholar.org/paper/3564764cace95a88f5137613a8ab894c47a165cb

zbMATH Keywords

electromagneticsdifference methodsstability and convergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20)

Cites Work

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• Summation by parts for finite difference approximations for \(d/dx\)
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Stable and accurate boundary treatments for compact, high-order finite- difference schemes
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Simulations of Acoustic Wave Phenomena Using High-Order Finite Difference Approximations
• κ-Space Transfer Function Design of Discrete Operators: Application To Maxwell's Time-Domain Equations
• Summation by Parts, Projections, and Stability. I
• Summation by Parts, Projections, and Stability. II

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