A FOURTH ORDER DIFFERENCE SCHEME FOR THE MAXWELL EQUATIONS ON YEE GRID

DOI10.1142/S0219891608001623zbMath1170.35009OpenAlexW1977423835MaRDI QIDQ5506457

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Publication date: 28 January 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891608001623

zbMATH Keywords

Maxwell equationsstability domainYee gridJameson methodlong stencil fourth order approximation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) General topics in linear spectral theory for PDEs (35P05) 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) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for linear first-order PDEs (35F10)

Related Items (9)

Convergence of the MAC scheme for the incompressible Navier-Stokes equations with variable density and viscosity ⋮ Developing and analyzing fourth-order difference methods for the metamaterial Maxwell's equations ⋮ A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes ⋮ High-order compact finite difference schemes for solving the regularized long-wave equation ⋮ Numerical analysis of the direct method for 3D Maxwell's equation in Kerr-type nonlinear media ⋮ Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model ⋮ High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow ⋮ An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation ⋮ A new FDTD scheme for Maxwell's equations in Kerr-type nonlinear media

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