On the relation between FDTD and Fibonacci polynomials

DOI10.1016/J.JCP.2010.11.009zbMath1211.78033OpenAlexW2017969055MaRDI QIDQ630376

Rob F. Remis

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.009

zbMATH Keywords

Chebyshev polynomials of the second kindstability conditionfinite-difference time-domain methodFibonacci polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

A Lanczos model-order reduction technique to efficiently simulate electromagnetic wave propagation in dispersive media ⋮ A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian ⋮ Unnamed Item

Cites Work

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• Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media
• On the stability of the finite-difference time-domain method
• Stable FEM-FDTD hybrid method for Maxwell's equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Two polynomial methods of calculating functions of symmetric matrices

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