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Higher order explicit time integration schemes for Maxwell’s equations. (English) Zbl 1016.78013

The authors present higher-order explicit time integration schemes for solving Maxwell’s equations. They derive a general framework of explicit Runge-Kutta and leap-frog integrators of arbitrary orders and provide rigorous analysis of stability, dispersion and convergence of the presented schemes.

MSC:

78M25 Numerical methods in optics (MSC2010)
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