Some unconditionally stable time stepping methods for the 3-D Maxwell ’ s equations

@inproceedings{Lee2003SomeUS,
  title={Some unconditionally stable time stepping methods for the 3-D Maxwell ’ s equations},
  author={Jongwoo Lee and Bengt Fornberg},
  year={2003}
}
Almost all the difficulties that arise in the numerical solution of Maxwell’s equations are due to material interfaces. In case that their geometrical features are much smaller than a typical wave length, one would like to use small space steps with large time steps. The first time stepping method which combines a very low cost per time step with unconditional stability was the ADI-FDTD method introduced in 1999. The present discussion starts with this method, and with an even more recent Crank… CONTINUE READING
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