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In this paper we are interested in the numerical modeling
of absorbing ferromagnetic materials
obeying the non-linear Landau-Lifchitz-Gilbert law with respect to the
propagation and scattering of electromagnetic waves.
In this work
we consider the 1D problem.
We first show that the corresponding Cauchy problem
has a unique global solution.
We then derive a numerical scheme based on an appropriate modification
of Yee's scheme, that we show to preserve some important
properties of the continuous...
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