Efficiency and stability of numerical force-free electrodynamics using pseudo-spectral methods.

Prior to merger, the magnetospheric interaction of a neutron star with its companion is expected to produce electromagnetic radiation. This emission--yet to be detected--can provide key information about the source, not accurately obtainable with gravitational radiation alone. In this context, force-free electrodynamics (FFE) has been proposed as a valuable simplification for describing magnetospheric interactions of merging neutron stars. In this talk, we will present FFE simulations using pseudo-spectral methods, putting emphasis on finding stable and efficient methods of solving the FFE equations. Applications will be also discussed.