  Recently, ParaExp was proposed for the time integration of hyperbolic
problems. It splits the time interval of interest into sub-intervals and
computes the solution on each sub-interval in parallel. The overall solution is
decomposed into a particular solution defined on each sub-interval with zero
initial conditions and a homogeneous solution propagated by the matrix
exponential applied to the initial conditions. The efficiency of the method
results from fast approximations of this matrix exponential using tools from
linear algebra. This paper deals with the application of ParaExp to
electromagnetic wave problems in time-domain. Numerical tests are carried out
for an electric circuit and an electromagnetic wave problem discretized by the
Finite Integration Technique.
