Long time stable compact fourth-order scheme for time domain Maxwell's equations

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Long time stable compact fourth-order scheme for time domain Maxwell's equations

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A compact staggered backward differentiation method (CSBD(4,4)) is proposed. Theoretical analyses of numerical stability and dispersion are straightforward, and comparisons with the staggered backward differentiation method (SBD(4,4)) are provided. It shows that the numerical dispersion of the proposed scheme is greatly reduced.

Inspec keywords: differentiation; time-domain analysis; Maxwell equations; dispersion (wave); numerical stability

Other keywords: compact staggered backward differentiation method; numerical dispersion; numerical stability; time domain Maxwell equations; long time stable compact fourth-order scheme

Subjects: Electromagnetic waves: theory; Maxwell theory: general mathematical aspects; Electromagnetic wave propagation; Numerical integration and differentiation; Numerical approximation and analysis

References

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