A split step approach for the 3-D Maxwell's equations

DOI10.1016/S0377-0427(03)00484-9zbMath1029.65094OpenAlexW2043760873MaRDI QIDQ1410879

Bengt Fornberg, Jong Woo Lee

Publication date: 15 October 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00484-9

zbMATH Keywords

unconditional stabilityHamiltonian systemsMaxwell's equationsnonlinear wave equationsFDTDdomain resultsfinite difference timeSplit-step

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Second-order nonlinear hyperbolic equations (35L70) 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) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25)

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Cites Work

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• A fast spectral algorithm for nonlinear wave equations with linear dispersion
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• A Practical Guide to Pseudospectral Methods
• On the Construction and Comparison of Difference Schemes
• Accelerating the Convergence of Discretization Algorithms

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